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-Distance
We introduce the concept of a
-compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contrac...
We introduce a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a ...
-Weak Contraction
We introduce the class of generalized
-weak contractive set-valued mappings on a metric space. We establish that such mappings have a un...
A delayed predator-prey system with stage structure is investigated. The existence and stability of equilibria are obtained. An explicit algorithm for determining the direction of the Hopf bifurcation and the ...
This paper investigates the existence of fixed points and best proximity points of p-cyclic self-maps on a set of subsets of a certain uniform space under integral-type contractive conditions. The parallel proper...
A result of Hinchliffe (2003) is extended to transcendental entire function, and an alternative proof is given in this paper. Our main result is as follows: let
...
In the setting of quasimetric spaces, we prove some new results on the existence of fixed points for contractive type maps with respect to
We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (...
We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family o...
We prove that every firmly nonexpansive-like mapping from a closed convex subset
of a smooth, strictly convex and reflexive Banach pace...
We show some geometric conditions on a Banach space X concerning the Jordan-von Neumann constant, Zbăganu constant, characteristic of (separation) noncompact convexity, and the coefficient R(1, X), the weakly con...
The purpose of this paper is to introduce and investigate two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established ...
Using the concept of a mixed g-monotone mapping, we prove some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with...
Let
be a nonempty compact convex subset of a uniformly convex Banach space
Employing the induced endomorphism of the fundamental group and using the homotopy classification of self-maps of real projective plane
We investigate the convergence of Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly convex Banach space with the Fréchet differentiable norm. Our results improve and...
We show the equivalence of the convergence of Picard and Krasnoselskij, Mann, and Ishikawa iterations for the quasi-contraction mappings in convex metric spaces.
Retractable complexes are defined in this paper. It is proved that they have the fixed simplex property for simplicial maps. This implies the theorem of Wallace and the theorem of Rival and Nowakowski for fini...
Employing the common property (E.A), we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontrac...
The Erratum to this article has been published in Fixed Point Theory and Applications 2011 2011:28
In the paper by Khojasteh et al. (2010), the authors tried to generalize Branciari's theorem, introducing the new integral type contraction mappings. In this note we give a counterexample on their main stateme...
The viscosity approximation methods are employed to establish strong convergence theorems of the modified Mann iteration scheme to
-stri...
Some new Krasnosel'skii-type fixed-set theorems are proved for the sum
, where
...
We will apply the successive approximation method for proving the Hyers-Ulam stability of a nonlinear integral equation.
-Asymptotically Nonexpansive Mappings
The purpose of this paper is to propose a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi-
-asym...
-Sharp Minima in Vector Optimization Problems
We present a sufficient and necessary condition for weak
-sharp minima in infinite-dimensional spaces. Moreover, we develop the characte...
We study an initial value problem for a coupled Caputo type nonlinear fractional differential system of higher order. As a first problem, the nonhomogeneous terms in the coupled fractional differential system ...
For a countable family
of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common ...
Let X be a reflexive Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation sequence
...
In the original paper, it was assumed that a selfmap of
, the wedge of a real projective space
...
The original article was published in Fixed Point Theory and Applications 2009 2009:531037
The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard ...
We introduce a new general iterative method by using the
-mapping for finding a common fixed point of a finite family of nonexpansive ma...
We present some fixed point theorems for the sum
of a weakly-strongly continuous map and a nonexpansive map on a Banach space
We develop the theory of topological vector space valued cone metric spaces with nonnormal cones. We prove three general fixed point results in these spaces and deduce as corollaries several extensions of theo...
Some variable Krasnonsel'skiĭ-Mann iteration algorithms generate some sequences
,
...
We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbe...
This paper investigates the stability of iteration procedures defined by continuous functions acting on self-maps in continuous metric spaces. Some of the obtained results extend the contraction principle to t...
Let
be a nonempty compact convex subset of a uniformly convex Banach space
We establish some new coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasiordered cone metric spaces which not only obtain several coupled fixed point theorems a...
We introduce several types of Levtin-Polyak well-posedness for a vector quasivariational inequality with functional constraints. Necessary and/or sufficient conditions are derived for them.
Rassias introduced the following equality
,
, for a fixed in...
in
-Metric Spaces
We prove two general fixed theorems for maps in
-metric spaces and then show that these maps satisfy property
...
Weak and strong convergence theorems of three-step iterations are established for nonself asymptotically nonexpansive mappings in uniformly convex Banach space. The results obtained in this paper extend and im...
Using
-strongly accretive and
-strictly pseudocontractive ma...
We introduce a new iterative method for finding a common element of the set of solutions of a generalized equilibrium problem with a relaxed monotone mapping and the set of common fixed points of a countable f...
We first consider a cyclic
-contraction map on a reflexive Banach space
This paper deals with obtaining a numerical method in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of funct...
We introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of a system of generalized mixed equilibrium...
In the first part of this paper, we prove the existence of common fixed points for a commuting pair consisting of a single-valued and a multivalued mapping both satisfying the Suzuki condition in a uniformly c...
-Laplacian via Topological Methods
We show the existence of a week solution in
to a Dirichlet problem for
The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham, (2006). In this manuscript, some result of Mitrović, (2010) extended to the class of cone Banach spaces.
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SCImago Journal Rank (SJR): 0.408
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