Fixed Point Theory

Article	Citations
Pseudomonotone variational inequalities and fixed points	29
Coupled best proximity points for cyclic contractive maps and their applications	12
On an equation characterizing multi-cubic mappings and its stability and hyperstability	12
Solving the split equality hierarchical fixed point problem	11
Existence of multiple positive solutions to the Caputo-type nonlinear fractional differential equation with integral boundary value conditions	10
(q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the results	9
Iterative construction of the fixed point of Suzuki's generalized nonexpansive mappings in Banach spaces	8
On system of split generalised mixed equilibrium and fixed point problems for multivalued mappings with no prior knowledge of operator norm	7
Fixed point theorems in r-normed and locally r-convex spaces and applications	7
An inertial Censor-Segal algorithm for split common fixed-point problems	7
On the local convergence of higher order methods in Banach spaces	7
Implicit viscosity iterative algorithm for nonexpansive mapping on Hadamard manifolds	6
A stochastic production planning problem	5
On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness	5
Darbo type best proximity point (pair) results using measure of noncompactness with application	5
On inertial subgradient extragradient rule for monotone bilevel equilibrium problems	5
On modified L-contraction via binary relation with an application	5
Fixed and periodic point results in cone b-metric spaces over Banach algebras; a survey	5
Coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces	5
Caristi's and Downing-Kirk's fixed point theorems on bipolar metric spaces	4
Hölder-type spaces, singular operators, and fixed point theorems	4
Degree theory for discontinuous operators	4
Iterative approximations of fixed points for operators satisfying (Bγ,μ) condition	4
Remarks on the terminology of the mappings in fixed point iterative methods in metric spaces	4
Approximating common fixed point via Ishikawa's iteration	4

On compactness and fixed point theorems in partial metric spaces	4
Sets with structure, mappings and fixed point property: fixed point structures	4
On fixed point theorems and applications to product of n-nonlinear integral operators in ideal spaces	3
Fixed points and sets of multivalued contractions: an advanced survey with some new results	3
Unique positive definite solution of non-linear matrix equation on relational metric spaces	3
Existence and stability of coupled fixed point sets for multi-valued mappings	3
On split common fixed point and monotone inclusion problems in reflexive Banach spaces	3
On inertial type algorithms with generalized contraction mapping for solving monotone variational inclusion problems	3
On existence results in fixed set theory and applications to self-similarity	3
On the stability, integrability and boundedness analysis of systems of integro-differential equations with time-delay	3
Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations	2
Moments solution of fractional evolution equation found by new Krasnoselskii type fixed point theorems	2
The existence of best proximity points for generalized cyclic quasi-contractions in metric spaces with the UC and ultrametric properties	2
Solution to second order differential equations via Fw-contractions	2
On the fixed point index for sums of operators	2
Discussion of hybrid JS-contractions in b-metric spaces with applications to the existence of solutions for integral equations	2
Existence results for coupled nonlinear fractional differential equations with coupled strip and infinite point boundary conditions	2
Global and linear convergence of alternated inertial single projection algorithms for pseudo-monotone variational inequalities	2
Strong convergence of inertial extragradient algorithms for solving variational inequalities and fixed point problems	2
Decay solutions to retarded fractional evolution inclusions with superlinear perturbations	2
Nonlinear alternatives of hybrid type for nonself vector-valued maps and application	2
Boundary value problems for fractional-order differential inclusions in Banach spaces with nondensely defined operators	1
A note on fixed point theory for multivalued mappings	1
Solvability of nonlinear functional differential equations of fractional order in reflexive Banach space	1
Existence and convergence results for Perov contraction mappings	1
Best proximity points of set-valued generalized contractions	1
A novel iterative algorithm with convergence analysis for split common fixed points and variational inequality problems	1
Generalized Leray–Schauder nonlinear alternatives for general classes of maps	1
Fixed point results in locally convex spaces with τ-Krein-Šmulian property and applications	1
Applications of fibre contraction principle to some classes of functional integral equations	1
Common fixed point theorems in partial idempotent-valued metric spaces	1
A fixed point theorem in ultrametric n-Banach spaces and hyperstability results	1
A note on best proximity point for S-cyclic mappings	1
" Implicit and explicit viscosity methods for hierarchical variational inequalities on Hadamard manifolds"	1
On multivalued P-contractive mappings that belongs to class of weakly Picard operators	1
Variational inclusion problem and total asymptotically nonexpansive mapping: graph convergence, algorithms and approximation of common solutions	1
Notes on Krasnoselskii-type fixed-point theorems and their application to fractional hybrid differential problems	1
Positive solutions for a fractional boundary value problem via a mixed monotone operator	1
Asymptotically periodic solutions for fractional differential variational inequalities	1
A multiplicity results to a p-q Laplacian system with a concave and singular nonlinearities	1
Generalized quasi-contractions on weak orthogonal metric spaces	1
Iterative algorithms for a finite family of equilibrium problems and fixed point problem in an Hadamard space	1
A new algorithm for solving a system of generalized mixed equilibrium problems and finding common fixed points of a finite family of Bregman nonexpansive mappings in Banach spaces	1
Strong convergence theorem for a general system of variational inequalities, equilibrium problems, and fixed point problems	1
Essential weakly Mönch type maps and continuation theory	1
Some existence results for fractional differential inclusions via fixed point theorems	1
Existence of group nonexpansive retractions and ergodic theorems in topological groups	1
Split equality fixed point problems and common null point problems in Hilbert spaces	1
Weak asymptotic stability for semilinear fractional differential equations with finite delays	1
Existence of three weak solutions for a class of discrete problems driven by p-Laplacian operator	1

Intersection of nonexpansive mappings with respect to a finite number of renormings	1
Existence of solution of functional integral equations by measure of noncompactness and sinc interpolation to find solution	1
On contractive mappings in bv(s)-metric spaces	1
Fixed point theorems for mappings with a contractive iterate at a point in modular metric spaces	1
Extension of λ-PIR for weakly contractive operators via fixed point theory	1
Hybrid inertial algorithm for fixed point and equilibrium problems in reflexive Banach spaces	0
Search of minimal metric structure in the context of fixed point theorem and corresponding operator equation problems	0
An accelerated extragradient algorithm for fixed point, pseudomonotone equilibrium and split null point problems	0
Coincidence points for set-valued mappings with directional regularity	0
Modified splitting algorithms for approximating solutions of split variational inclusions in Hilbert spaces	0
A fixed point theorem in abstract spaces with application to Cauchy problem	0
Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditions	0
Effective metastability for a method of alternating resolvents	0
An extragradient algorithm for the split equilibrium problems without prior knowledge of operator norm	0
Cantor's intersection theorem in the setting of F-metric spaces	0
Approximate fixed points in metric spaces	0
Existence and approximating of common best proximity points of relatively nonexpansive mappings via Ishikawa iteration method	0
A fixed point dichotomy	0
The Banach space c0 and its role among extremal spaces	0
Best proximity point results for proximal contraction in topological spaces	0
An iterative algorithm with applications for solving variational inclusion problems and nonexpansive mappings	0
Regularized projection method of solving split system of fixed point set constraint equilibrium problems in real Hilbert space	0
(α,β)-nonexpansive mappings and Picard operators	0
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Convergence analysis of a new relaxed algorithm with inertial for solving split feasibility problems	0
Pairs of fixed points for a class of operators on Hilbert spaces	0
Approximating common fixed points of asymptotically nonexpansive cosine families in Hilbert spaces by algorithms with error terms	0
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Oscillation and nonoscillation for Caputo-Hadamard fractional differential inclusions in Banach spaces	0
A note on collectively fixed and coincidence points	0
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Efficient extragradient methods for bilevel pseudomonotone variational inequalities with non-Lipschitz operators and their applications	0
Fixed points and topological properties of extended quasi-metric spaces	0
Rate of convergence of modified Mann iteration for asymptotically nonexpansive mappings	0
Existence of fixed points involving the difference of two nonlinear operators	0
Fixed point results for multi-valued Feng-Liu contractions in b-metric spaces	0
Fixed point and nonlinear ergodic theorems for some new type semigroups of mappings	0
Existence and approximation of fixed points of λ-hybrid mappings in complete CAT(0) spaces	0
Geometrical properties of lp spaces	0
Fixed point property of full Hilbert C*-modules over unital C*-algebras	0
Generalized metric spaces and some related fixed point theorems	0
Scaled fixed point algorithm for computing the matrix square root	0
A multiplicity results to a p-q Laplacian system with a concave and singular nonlinearities	0
Existence of equilibria for N-person games	0
Implicit contractions for a sequence of multi-valued mappings	0
Surjectivity results for nonlinear weakly sequentially continuous operators and applications	0
A self-adaptive inertial algorithm for bilevel pseudo-monotone variational inequality problems with non-Lipschitz mappings	0
Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations	0
Decay estimates for two-term time fractional differential equations with infinite delays	0
Further comments on a fixed point theorem in the fractal space	0
An inertial subgradient-extragradient algorithm for solving pseudomonotone variational inequalities	0
Multiplicity of periodic solutions for dynamic Liénard equations with delay and singular φ-Laplacian of relativistic type	0
Primal-dual fixed point methods for regularized least-squares problems	0
A new approach to fixed point property of nonexpansive multivalued mappings	0
Existence and asymptotical behavior of ground state solutions for fractional Schrödinger-Kirchhoff type equations	0
On graphical fuzzy metric spaces and related fixed point theorems	0
Linear and superlinear convergence of an inexact algorithm with proximal distances for variational inequality problems	0
Common fixed point theorems for multivalued mappings via cone-valued measure of noncompactness	0
Two novel algorithms for solving variational inequality problems governed by fixed point problems and their applications	0
Improving the order of a fifth-order family of vectorial fixed point schemes by introducing memory	0
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Certain fixed point results for asymptotically ℛ-nonexpansive mappings	0
A fixed point principle for some nonself operators on large Kasahara spaces	0
Cyclic projection methods for solving the split common zero point problem in Banach spaces	0
HR-type interpolative and P-contractions via Maia type result in b-metric spaces with applications	0
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Self-adaptive-type CQ algorithms for split equality problems	0
Viscosity approximation method for fixed point of pseudocontraction mapping in Hadamard spaces	0
Fixed point theorems without continuity in metric vector spaces	0
Fixed point of multivalued contractions by altering distances with application to nonconvex Hammerstein type integral inclusions	0
Best proximity points of generalized α-ψ-Geraghty proximal contractions in generalized metric spaces	0
Convergence of S-iteration for nonlinear operators	0
Positive solutions of nonlinear third-order boundary value problems involving Stieltjes integral conditions	0
Generalized multivalued F-contraction on orthogonal metric space	0
Study of implicit relation in w-distance and (η,θ,Z,φ)β-contraction in wt-distance with an application	0
Inexact simultaneous projection method for solving bilevel equilibrium problems	0
On enriched cyclic iterated function systems	0
Fixed point theorems for nonself operators on a large Kasahara space	0
The existence and compactness of the set of solutions for a 2-order nonlinear integrodifferential equation in N variables in a Banach space	0
Well-posedness of a mixed hemivariational-variational problem	0

ϕ-Contractive parent-child possibly infinite IFSs and orbital φ contractive possibly infinite IFSs	0
Boundary value problem for differential equations with generalized Hilfer-type fractional derivative	0
Δ-convergence of convex combinations of two maps on p-uniformly convex metric spaces	0
Synchronous r-cyclic contractions on metric spaces	0
A best proximity point theorem for relatively nonexpansive mappings in the absence of the proximal normal structure property	0
Positive solutions for fractional Laplacian system involving concave-convex nonlinearities and sign-changing weight functions	0
A novel hybrid method for equilibrium problem and a countable family of generalized nonexpansive-type maps with applications	0
Two generalized strong convergence algorithms for variational inequality problems in Banach spaces	0
A new parallel algorithm to solving a system of quasi-variational inclusion problems and common fixed point problems in Banach spaces	0
Fixed points for mappings of asymptotically nonexpansive type	0
Fixed points on partially ordered quasi-metric spaces	0
On asymptotically nonexpansive mappings with non-convex domains	0
Approximation of involution in new fuzzy C*-algebras: Fixed point technique	0
Iterative algorithms for variational inclusions in Banach spaces	0
Existence of solutions for semilinear fractional integro-differential equations with nonlocal conditions	0
Nonemptiness and boundedness of the set of zeros of a monotone operator in Hadamard spaces	0
The Cauchy problem in scale of Banach spaces with deviating variables	0
Mann iterative algorithm in convex metric spaces endowed with a directed graph	0
Further results on θ-metric spaces	0
A new method for the construction of fractals via best proximity point theory	0
On solving split equilibrium problems and fixed point problems of α-nonexpansive multi-valued mappings in Hilbert spaces	0
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Existence property of solutions for multi-order q-difference FBVPs based on condensing operators and end-point technique	0
Uniformly elliptic equations with concave growth in the gradient and measures	0
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Behind the concept of F-contraction	0
Best proximity theorems of proximal multifunctions	0
An extension of the Poincaré-Birkhoff fixed point theorem to noninvariant annuli	0
Strong convergence of Halpern's type iteration for α-nonexpansive semigroup in Banach spaces and CAT(0) spaces	0
Endpoints of generalized Berinde nonexpansive mappings in hyperbolic spaces	0
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On a new iterative method for solving equilibrium problems and fixed point problems	0
Meir-Keeler S type contractions and contractions with F control functions on S-metric spaces	0
On the Su-Yao theorem	0
Integral equation with maxima via fibre contraction principle	0
Eigenvalue intervals for iterative systems of second-order nonlinear equations with impulses and m-point boundary conditions	0
Viscosity approximation for split monotone variational inclusions and fixed point problem	0
Existence of nontrivial radial solution for semilinear equation with critical or supercritical variable exponent	0
On the convergence of broadcast incremental algorithms with applications	0
Fixed point theorems in the study of operator equations in ordered Banach spaces and their applications	0
Mild solutions for nonlinear impulsive functional differential inclusions with nonlocal conditions	0
Large time behavior of solutions to a system of coupled nonlinear oscillators via a generalized form of Schauder-Tychonoff fixed point theorem	0
Generalizations of Bolzano intermediate value theorem for balls and convex domains	0
A new generalization of Ćirić's multi-valued operators	0
Fixed discs in quasi-metric spaces	0
A theorem of Caristi-Kirk type for b-metric spaces	0
Solvability and optimal control of semilinear fractional evolution equations with Riemann-Liouville fractional derivatives	0
The multi-dimensional coagulation-fragmentation model with unbounded kernel	0
A note on the rate of convergence of viscosity iterations	0