Fixed Point Theory

Article	Citations
Pseudomonotone variational inequalities and fixed points	23
Strong convergence of an inertial forward-backward splitting method for accretive operators in real Banach space	14
Solving the split equality hierarchical fixed point problem	10
On an equation characterizing multi-cubic mappings and its stability and hyperstability	10
Coupled best proximity points for cyclic contractive maps and their applications	9
Viscosity method with a φ-contraction mapping for hierarchical variational inequalities on Hadamard manifolds	9
Positive solution for nonlinear fractional differential equation with nonlocal multi-point condition	8
(q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the results	7
Fixed point results in ε-chainable complete b-metric spaces	7
An inertial Censor-Segal algorithm for split common fixed-point problems	7
Iterative construction of the fixed point of Suzuki's generalized nonexpansive mappings in Banach spaces	7
On the local convergence of higher order methods in Banach spaces	6
Fixed point theorems in r-normed and locally r-convex spaces and applications	6
On system of split generalised mixed equilibrium and fixed point problems for multivalued mappings with no prior knowledge of operator norm	6
On modified L-contraction via binary relation with an application	5
Implicit viscosity iterative algorithm for nonexpansive mapping on Hadamard manifolds	5
Existence of multiple positive solutions to the Caputo-type nonlinear fractional differential equation with integral boundary value conditions	5
A strong convergence theorem for an inertial algorithm for a countable family of generalized nonexpansive maps	4
Approximating common fixed point via Ishikawa's iteration	4
On the Burton method of progressive contractions for Volterra integral equations	4
Degree theory for discontinuous operators	4
Iterative approximations of fixed points for operators satisfying (Bγ,μ) condition	4
A stochastic production planning problem	4
Fixed and periodic point results in cone b-metric spaces over Banach algebras; a survey	4
On split common fixed point and monotone inclusion problems in reflexive Banach spaces	3

The split fixed point problem for demicontractive mappings and applications	3
Existence and stability of coupled fixed point sets for multi-valued mappings	3
Coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces	3
Sets with structure, mappings and fixed point property: fixed point structures	3
Darbo type best proximity point (pair) results using measure of noncompactness with application	3
Modified relaxed CQ algorithms for split feasibility and split equality problems in Hilbert spaces	3
Best proximity points theorem in b-metric spaces endowed with a graph	3
Some variants of fibre contraction principle and applications: from existence to the convergence of successive approximations	2
Fixed points and sets of multivalued contractions: an advanced survey with some new results	2
Strong convergence of inertial extragradient algorithms for solving variational inequalities and fixed point problems	2
Hölder-type spaces, singular operators, and fixed point theorems	2
Decay solutions to retarded fractional evolution inclusions with superlinear perturbations	2
A three-operator splitting algorithm for null-point problems	2
Wardowski-Feng-Liu type fixed point theorems for multivalued mappings	2
On existence results in fixed set theory and applications to self-similarity	2
Caristi's and Downing-Kirk's fixed point theorems on bipolar metric spaces	2
On compactness and fixed point theorems in partial metric spaces	2
Discussion of hybrid JS-contractions in b-metric spaces with applications to the existence of solutions for integral equations	2
Systems of unrelated generalized mixed equilibrium problems and unrelated hierarchical fixed point problems in Hilbert space	2
Solution to second order differential equations via Fw-contractions	2
On the fixed point index for sums of operators	2
Existence of three weak solutions for Kirchhoff-type problems with variable exponent and nonhomogeneous Neumann conditions	2
A generalization of Amini-Harandi's fixed point theorem with an application to nonlinear mapping theory	2
On inertial subgradient extragradient rule for monotone bilevel equilibrium problems	2
On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness	2
On inertial type algorithms with generalized contraction mapping for solving monotone variational inclusion problems	2
Applications of fibre contraction principle to some classes of functional integral equations	1
Fixed point theorems for mappings with a contractive iterate at a point in modular metric spaces	1
" Saturated versions of some fixed point theorems for generalized contractions"	1
Essential weakly Mönch type maps and continuation theory	1
Some existence results for fractional differential inclusions via fixed point theorems	1
Moments solution of fractional evolution equation found by new Krasnoselskii type fixed point theorems	1
Split equality fixed point problems and common null point problems in Hilbert spaces	1
Existence results for coupled nonlinear fractional differential equations with coupled strip and infinite point boundary conditions	1
Notes on Krasnoselskii-type fixed-point theorems and their application to fractional hybrid differential problems	1
On fixed point theorems and applications to product of n-nonlinear integral operators in ideal spaces	1
Best proximity points of set-valued generalized contractions	1
Intersection of nonexpansive mappings with respect to a finite number of renormings	1
Global and linear convergence of alternated inertial single projection algorithms for pseudo-monotone variational inequalities	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
Iterative algorithms for a finite family of equilibrium problems and fixed point problem in an Hadamard space	1
Strong convergence theorem for a general system of variational inequalities, equilibrium problems, and fixed point problems	1
Boundary value problems for fractional-order differential inclusions in Banach spaces with nondensely defined operators	1
" Implicit and explicit viscosity methods for hierarchical variational inequalities on Hadamard manifolds"	1
A note on fixed point theory for multivalued mappings	1
Existence of three weak solutions for a class of discrete problems driven by p-Laplacian operator	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
A multiplicity results to a p-q Laplacian system with a concave and singular nonlinearities	1

Means and convergence of semigroup orbits	1
Four to one	1
A Halpern type iteration with multiple anchor points in complete geodesic spaces with negative curvature	1
A note on best proximity point for S-cyclic mappings	1
Extension of λ-PIR for weakly contractive operators via fixed point theory	1
Applicative approach of fixed point theorems towards various engineering problems	1
On multivalued P-contractive mappings that belongs to class of weakly Picard operators	1
Solvability of nonlinear functional differential equations of fractional order in reflexive Banach space	1
Weak asymptotic stability for semilinear fractional differential equations with finite delays	1
Positive solutions for a fractional boundary value problem via a mixed monotone operator	1
Nonlinear alternatives of hybrid type for nonself vector-valued maps and application	1
Generalized quasi-contractions on weak orthogonal metric spaces	1
Existence of solution of functional integral equations by measure of noncompactness and sinc interpolation to find solution	1
Fixed point and nonlinear ergodic theorems for some new type semigroups of mappings	0
Fixed point of multivalued contractions by altering distances with application to nonconvex Hammerstein type integral inclusions	0
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An accelerated extragradient algorithm for fixed point, pseudomonotone equilibrium and split null point problems	0
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A multiplicity results to a p-q Laplacian system with a concave and singular nonlinearities	0
The existence of best proximity points for generalized cyclic quasi-contractions in metric spaces with the UC and ultrametric properties	0
Generalizations of Bolzano intermediate value theorem for balls and convex domains	0
On solving split equilibrium problems and fixed point problems of α-nonexpansive multi-valued mappings in Hilbert spaces	0
Decay estimates for two-term time fractional differential equations with infinite delays	0
An inertial subgradient-extragradient algorithm for solving pseudomonotone variational inequalities	0
The Cauchy problem in scale of Banach spaces with deviating variables	0
Coincidence points for set-valued mappings with directional regularity	0
A note on the rate of convergence of viscosity iterations	0
On the Aronszajn property for fractional neutral evolution equations with infinite delay on half-line	0
Improving the order of a fifth-order family of vectorial fixed point schemes by introducing memory	0
Surjectivity results for nonlinear weakly sequentially continuous operators and applications	0
On asymptotically nonexpansive mappings with non-convex domains	0
On contractive mappings in bv(s)-metric spaces	0
Fixed point theorems for nonself operators on a large Kasahara space	0
Mann iterative algorithm in convex metric spaces endowed with a directed graph	0
Existence of solutions for semilinear fractional integro-differential equations with nonlocal conditions	0
Remarks on the terminology of the mappings in fixed point iterative methods in metric spaces	0
A new parallel algorithm to solving a system of quasi-variational inclusion problems and common fixed point problems in Banach spaces	0
Common fixed point theorems for multivalued mappings via cone-valued measure of noncompactness	0
Fixed discs in quasi-metric spaces	0
Scaled fixed point algorithm for computing the matrix square root	0
Algorithms for approximating solutions of equilibrium problems and fixed points of nonexpansive-type semigroup	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
Rate of convergence of modified Mann iteration for asymptotically nonexpansive mappings	0
Boundary value problem for differential equations with generalized Hilfer-type fractional derivative	0
Approximating common fixed points of asymptotically nonexpansive cosine families in Hilbert spaces by algorithms with error terms	0
On Bishop-Phelps partial order, variation mappings and Caristi's fixed point theorem in quasi-metric spaces	0
Meir-Keeler S type contractions and contractions with F control functions on S-metric spaces	0
Existence and approximation of fixed points of λ-hybrid mappings in complete CAT(0) spaces	0
Well-posedness of a mixed hemivariational-variational problem	0
Primal-dual fixed point methods for regularized least-squares problems	0
Δ-convergence of convex combinations of two maps on p-uniformly convex metric spaces	0
Synchronous r-cyclic contractions on metric spaces	0
Existence and approximating of common best proximity points of relatively nonexpansive mappings via Ishikawa iteration method	0
Hybrid inertial algorithm for fixed point and equilibrium problems in reflexive Banach spaces	0
	0
A note on collectively fixed and coincidence points	0
A novel hybrid method for equilibrium problem and a countable family of generalized nonexpansive-type maps with applications	0
Variational inclusion problem and total asymptotically nonexpansive mapping: graph convergence, algorithms and approximation of common solutions	0
Nonlocal solutions and controllability of Schrödinger evolution equation	0
Fixed point theorems in the study of operator equations in ordered Banach spaces and their applications	0
Geometrical properties of lp spaces	0
A fixed point dichotomy	0
On the Su-Yao theorem	0
Viscosity approximation method for fixed point of pseudocontraction mapping in Hadamard spaces	0
Nonexpansive mappings and continuous s-point spaces	0
An extragradient algorithm for the split equilibrium problems without prior knowledge of operator norm	0
A new approach to fixed point property of nonexpansive multivalued mappings	0
Viscosity approximation for split monotone variational inclusions and fixed point problem	0
Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations	0
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Fixed points and topological properties of extended quasi-metric spaces	0
Inexact simultaneous projection method for solving bilevel equilibrium problems	0
Halpern type iteration with two mappings in a complete geodesic space	0
Existence of group nonexpansive retractions and ergodic theorems in topological groups	0
Large time behavior of solutions to a system of coupled nonlinear oscillators via a generalized form of Schauder-Tychonoff fixed point theorem	0
Existence and convergence results for Perov contraction mappings	0
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Cantor's intersection theorem in the setting of F-metric spaces	0
Mild solutions for nonlinear impulsive functional differential inclusions with nonlocal conditions	0
Some common best proximity point theorems via a fixed point theorem in metric spaces	0

An extension of the Poincaré-Birkhoff fixed point theorem to noninvariant annuli	0
Positive solutions for fractional Laplacian system involving concave-convex nonlinearities and sign-changing weight functions	0
On best proximity pairs with application to differential equations	0
A fixed point theorem in ultrametric n-Banach spaces and hyperstability results	0
On the stability, integrability and boundedness analysis of systems of integro-differential equations with time-delay	0
Fixed points for mappings of asymptotically nonexpansive type	0
Asymptotically periodic solutions for fractional differential variational inequalities	0
Solvability and optimal control of semilinear fractional evolution equations with Riemann-Liouville fractional derivatives	0
Iterative algorithms for variational inclusions in Banach spaces	0
An iterative algorithm with applications for solving variational inclusion problems and nonexpansive mappings	0
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A fixed point theorem in abstract spaces with application to Cauchy problem	0
Packing, wn*- separation and normal structure in Banach spaces	0
Endpoints of generalized Berinde nonexpansive mappings in hyperbolic spaces	0
Properties and iterative methods for the elastic net with ℓp-norm errors	0
Linear and superlinear convergence of an inexact algorithm with proximal distances for variational inequality problems	0
Positive solutions of nonlinear third-order boundary value problems involving Stieltjes integral conditions	0
Oscillation and nonoscillation for Caputo-Hadamard fractional differential inclusions in Banach spaces	0
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Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditions	0
Convergence of S-iteration for nonlinear operators	0
Regularized projection method of solving split system of fixed point set constraint equilibrium problems in real Hilbert space	0
Fixed point results for w-contraction	0
Generalized metric spaces and some related fixed point theorems	0
Best proximity theorems of proximal multifunctions	0
Implicit contractions for a sequence of multi-valued mappings	0
Existence of nontrivial radial solution for semilinear equation with critical or supercritical variable exponent	0
Common fixed point theorems in partial idempotent-valued metric spaces	0
Study of implicit relation in w-distance and (η,θ,Z,φ)β-contraction in wt-distance with an application	0
Unique positive definite solution of non-linear matrix equation on relational metric spaces	0
An ultra-product method via left reversible semigroups to study Bruck's generalized conjecture	0