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We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an
...
The purpose of this paper is to present existence, uniqueness, and data dependence results for the strict fixed points of a multivalued operator of Reich type, as well as, some sufficient conditions for the we...
We consider an implicit iterative process with mixed errors for a finite family of pseudocontractive mappings in the framework of Banach spaces. Our results improve and extend the recent ones announced by many...
A best proximity pair for a set-valued map
with respect to a set-valued map
Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
We introduce the notion of middle point linear operators. We prove a fixed point result for middle point linear operators in
. We then p...
In this paper, a new implicit iteration process with errors for finite families of strictly asymptotically pseudocontractive mappings and nonexpansive mappings is introduced. By using the iterative process, so...
Let
be nonempty closed convex subset of real Hilbert space
Let
be a nonempty closed convex subset of a reflexive Banach space
Times Reasonable Expansive Mapping
Based on previous notions of expansive mapping,
times reasonable expansive mapping is defined. The existence of fixed point for
We prove a global bifurcation result for an equation of the type
, where
We prove some fixed point results for mapping satisfying sufficient conditions on complete
-metric space, also we showed that if the
We introduce a new three-step iterative scheme with errors. Several convergence theorems of this scheme are established for common fixed points of nonself asymptotically quasi-non-expansive mappings in real un...
As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the
In this paper we consider complete cone metric spaces. We generalize some definitions such as
-nonexpansive and
...
A class of semilinear impulsive periodic system on Banach spaces is considered. First, we introduce the
-periodic PC-mild solution of se...
We introduce a new iterative scheme for finding the common element of the set of common fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem, and the set of solutions of the va...
Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the stability of a functional equat...
We consider the mean square asymptotic stability of a generalized linear neutral stochastic differential equation with variable delays by using the fixed point theory. An asymptotic mean square stability theor...
We introduce the new concepts of
-distance,
-type mapping wi...
Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we will adopt the idea of Cădariu and Radu to prove the Hyers-Ulam-Rassias stabili...
We give an axiom (C.C) in symmetric spaces and investigate the relationships between (C.C) and axioms (W3), (W4), and (H.E). We give some results on coinsidence and fixed-point theorems in symmetric spaces, an...
We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example is given, in which instead of computing the fixed point of an operator, we appr...
We introduce the notion of a generalized iterated function system (GIFS), which is a finite family of functions
, where
This paper concerns common fixed points for a finite family of hemicontractions or a finite family of strict pseudocontractions on uniformly convex Banach spaces. By introducing a new iteration process with er...
-Algebras: A Fixed Point Approach
we prove the Hyers-Ulam-Rassias stability of
-algebra homomorphisms and of generalized derivations on
...
Let
be a reflexive Banach space with a uniformly Gâteaux differentiable norm. Suppose that every weakly compact convex subset of
In the work of Babu and Vara Prasad (2006), the claim is made that Mann iteration converges faster than Ishikawa iteration when applied to Zamfirescu operators. We provide an example to demonstrate that this c...
In recent years, the Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value ...
Let
be a real
-uniformly smooth Banach space which is also ...
We introduce and study a new class of general nonlinear implicit variational inequalities, which includes several classes of variational inequalities and variational inclusions as special cases. By applying th...
We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a mon...
We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the ...
We prove that recent results of Wang (2007) concerning the iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach...
We introduce a general iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mappin...
Let
be a self-map of a finite polyhedron that is an aspherical wedge product space
...
We establish a general result for the stability of Picard's iteration. Several theorems in the literature are obtained as special cases.
Two convergence theorems for the Ishikawa and Mann iteration sequences involving nonexpansive mappings in hyperspaces are established.
-Monotone Mappings in Hilbert Spaces
A new class of generalized nonlinear variational inclusions involving
-monotone mappings in the framework of Hilbert spaces is introduce...
Let
be a uniformly convex Banach space, and let
be a pair ...
The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping
and a f...
We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of function...
We suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.
We modify the normal Mann iterative process to have strong convergence for a finite family nonexpansive mappings in the framework of Banach spaces without any commutative assumption. Our results improve the re...
Recently, Jafari and Sehgal obtained an extension of the Himmelberg fixed point theorem based on the Kakutani fixed-point theorem. We give generalizations of the extension to almost convex sets instead of conv...
A family of commuting nonexpansive self-mappings, one of which is weakly contractive, are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to...
The self-maps on the circle having periodic orbits with least period 3 are classified into relative homotopy-conjugacy classes. We will show that except for the maps in one exceptional class, all these kinds o...
A new fixed point theorem is proved by using the theorem of Miranda.
We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove...
The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi-relatively nonexpansive mappings. In order to get these convergence theorems, the monotone hybrid iteration m...
Citation Impact 2023
Source Normalized Impact per Paper (SNIP): 0.832
SCImago Journal Rank (SJR): 0.408
Speed 2023
Submission to first editorial decision (median days): 21
Submission to acceptance (median days): 200
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