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Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic functional equation
In cone uniform and uniform spaces, we introduce the three kinds of dissipative set-valued dynamic systems with generalized pseudodistances and not necessarily lower semicontinuous entropies, we study the conv...
The Schauder fixed point theorem is extended to the context of metric spaces with global nonpositive curvature. Some applications are included.
We use chain methods to prove fixed point results for maximalizing mappings in posets. Concrete examples are also presented.
A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.
and
,
Embeddings in Banach Spaces with 1-Unconditional Basis and
We will use García-Falset and Lloréns Fuster's paper on the AMC-property to prove that a Banach space
that
...
An implicit function theorem in locally convex spaces is proved. As an application we study the stability, with respect to a parameter
,...
We study the solvability of a nonlinear integral equation of Urysohn type. Using the technique of measures of noncompactness we prove that under certain assumptions this equation possesses solutions that are c...
We introduce a modified Ishikawa iterative process for approximating a fixed point of two infinitely nonexpansive self-mappings by using the hybrid method in a Hilbert space and prove that the modified Ishikaw...
We propose a modified hybrid projection algorithm to approximate a common fixed point of a
-strict pseudocontraction and of two sequences of non...
We discuss the existence of common fixed points in uniformly convex metric spaces for single-valued pointwise asymptotically nonexpansive or nonexpansive mappings and multivalued nonexpansive, ...
-Stability of Picard Iteration in Cone Metric Spaces
The aim of this work is to investigate the
-stability of Picard's iteration procedures in cone metric spaces and give an application.
Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove st...
We characterize (i) matrices which are nonexpansive with respect to some matrix norms, and (ii) matrices whose average iterates approach zero or are bounded. Then we apply these results to iterative solutions ...
Recently, Frigon proved that, for weakly contractive maps, the property of having a fixed point is invariant by a certain class of homotopies, obtaining as a consequence a Leray-Schauder alternative for this c...
We give some fixed point results for pseudocontractive mappings on nonbounded domains which allow us to obtain generalizations of recent fixed point theorems of Penot, Isac, and Németh. An application to integ...
Every continuous function of the Alexandroff-Urysohn Square into itself has a fixed point. This follows from G. S. Young's general theorem (1946) that establishes the fixed-point property for every arcwise con...
We give a sufficient and necessary condition concerning a Browder's convergence type theorem for uniformly asymptotically regular one-parameter nonexpansive semigroups in Hilbert spaces.
Coincidence and fixed point theorems for a new class of hybrid contractions consisting of a pair of single-valued and multivalued maps on an arbitrary nonempty set with values in a metric space are proved. In ...
We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the...
We introduce two iterative algorithms for nonexpansive mappings in Hilbert spaces. We prove that the proposed algorithms strongly converge to a fixed point of a nonexpansive mapping ...
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional equation
under some additional ass...
We introduce and study a new system of generalized nonlinear mixed variational inclusions in real
-uniformly smooth Banach spaces. We pr...
In this paper at first we introduce a new order on the subsets of cone metric spaces then, using this definition, we simplify the proof of fixed point theorems for contractive set-valued maps, omit the assumpt...
We discuss three classes of generalized implicit vector equilibrium problems in topological ordered spaces. Under some conditions, we prove three new existence theorems of solutions for the generalized implici...
We prove some strong convergence theorems for fixed points of modified Ishikawa and Halpern iterative processes for a countable family of hemi-relatively nonexpansive mappings in a uniformly convex and uniform...
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by usin...
We prove some coupled fixed point theorems for mappings satisfying different contractive conditions on complete cone metric spaces.
A lot of authors have proved various common fixed-point results for pairs of self-mappings under strict contractive conditions in metric spaces. In the case of cone metric spaces, fixed point results are usual...
-Nonexpansive Mappings in a Banach Space
The purpose of this paper is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-
The concept of weakly quasi-nonexpansive mappings with respect to a sequence is introduced. This concept generalizes the concept of quasi-nonexpansive mappings with respect to a sequence due to Ahmed and Zeyad...
The purpose of this paper is to prove, by asymptotic center techniques and the methods of Hilbert spaces, the following theorem. Let
be...
-Stability Approach to Variational Iteration Method for Solving Integral Equations
We consider
-stability definition according to Y. Qing and B. E. Rhoades (2008) and we show that the variational iteration method for solving in...
)-Proximal Point Algorithms, Relaxed (
)-Proximal Point Algorithms, Linear Convergence Analysis, and Nonlinear Variational Inclusions
We glance at recent advances to the general theory of maximal (set-valued) monotone mappings and their role demonstrated to examine the convex programming and closely related field of nonlinear variational ine...
-Stability
In recent literature concerning fixed point theory for self-mappings
in metric spaces
...
We generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H. Guang and Z. Xian (2007); P. Vetro (2007); M. Abbas and G. Jungck (2008); Sh. Rezapour and R...
The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy version. This method introduces a metrical co...
The concept of generalized contractive multimaps in the setting of metric spaces is introduced, and the existence of fixed points for such maps is guaranteed under certain conditions. Consequently, our results...
We investigate the existence and uniqueness of solutions
of the functional equation
...
We introduce an iterative scheme for finding a common element of the set of fixed points of a
-strictly pseudocontractive mapping, the s...
We introduce two modifications of the Mann iteration, by using the hybrid methods, for equilibrium and fixed point problems for an infinite family of asymptotically nonexpansive mappings in a Hilbert space. Th...
The authors present a method of numerical approximation of the fixed point of an operator, specifically the integral one associated with a nonlinear Fredholm integral equation, that uses strongly the propertie...
Solutions of the Series-Like Iterative Equation with Variable Coefficients
By constructing a structure operator quite different from that ofZhang and Baker (2000) and using the Schauder fixed point theory, the existence and uniqueness of the
...
We prove a general principle in Random Fixed Point Theory by introducing a condition named (
) which was inspired by some of Petryshyn's work, an...
We present new Leray-Schauder alternatives, Krasnoselskii and Lefschetz fixed point theory for multivalued maps between Fréchet spaces. As an application we show that our results are directly applicable to est...
-Set Contraction in Metric Spaces
We define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type
-set contraction in me...
Robust stability results for nominally linear hybrid systems are obtained from total stability theorems for purely continuous-time and discrete-time systems by using the powerful tool of fixed point theory. Th...
The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First,...
We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of infinitely man...
We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly convex metric spaces. We also study the existence of fixed points for set-valued nonexpansi...
2022 Citation Impact
0.970 - SNIP (Source Normalized Impact per Paper)
0.435 - SJR (SCImago Journal Rank)
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