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We obtain fixed point theorems for nonexpansive mappings defined on unbounded sets. Our assumptions are weaker than the asymptotically contractive condition recently introduced by Jean-Paul Penot.
We prove the existence of coincidence point and common fixed point for mappings satisfying generalized weak contractive condition. As an application, related results on invariant approximation are derived. Our...
We prove Browder's type strong convergence theorems for infinite families of nonexpansive mappings. One of our main results is the following: let
-commuting maps and invariant approximations
We obtain common fixed point results for generalized
-nonexpansive
-commutin...
We reprove in an extremely simple way the classical theorem that time periodic dissipative systems imply the existence of harmonic periodic solutions, in the case of uniqueness. We will also show that, in the ...
This paper concerns a formula which relates the Lefschetz number
for a map
We study Frèchet differentiable stable operators in real Banach spaces. We present the theory of linear and nonlinear stable operators in a systematic way and prove solvability theorems for operator equations ...
Let
be a self-map of a compact, connected polyhedron and
a closed subset. ...
Let
be a map of a compact, connected Riemannian manifold, with or without boundary. For
We consider various problems regarding roots and coincidence points for maps into the Klein bottle
. The root problem where the target is
In the appendix to the book by F. F. Bonsal, Lectures on Some Fixed Point Theorems of Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-Tychonoff fixed point theorem, based on ...
We prove that
for any continuous map
of a given infranilmanifold with Abel...
We obtain common fixed point results for generalized
-nonexpansive
-subweakl...
In classical fixed point and coincidence theory, the notion of Nielsen numbers has proved to be extremely fruitful. Here we extend it to pairs
...
We study Nielsen coincidence theory for maps between manifolds of same dimension regardless of orientation. We use the definition of semi-index of a class, review the definition of defective classes, and study...
We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak...
We consider a general quasi-variational inequality problem involving nonlinear, nonconvex and nondifferentiable term in uniformly smooth Banach space. Using retraction mapping and fixed point method, we study ...
Let
be a reflexive Banach space with a uniformly Gâteaux differentiable norm, let
-manifolds
We will consider the number of fixed points of homeomorphisms composed of finitely many slide homeomorphisms on closed oriented nonprime
-manifo...
In classical Lefschetz-Nielsen theory, one defines the Lefschetz invariant
of an endomorphism
...
We apply the KKM technique to study fixed point theory, minimax inequality and coincidence theorem. Some new results on Fan-Browder fixed point theorem, Fan's minimax theorem and coincidence theorem are obtained.
The paper presents a complete description of the set of algebraic periods for self-maps of a rational exterior space which has rank 2.
We first characterize
-monotone mappings on the Hilbert ball by using their resolvents and then study the asymptotic behavior of compositions an...
-KKM class on generalized convex spaces
We establish a coincidence theorem in
-KKM class by means of the basic defining property for multifunctions in
...
Some new concepts of generating spaces of quasi-norm family are introduced and their linear topological structures are studied. These spaces are not necessarily locally convex. By virtue of some properties in ...
We consider a finite regular covering
over a compact polyhedron and a map
...
Let
be an H-space of the homotopy type of a connected, finite CW-complex,
...
Schaefer's fixed point theorem is used to study the controllability in an infinite delay system
. A compact map or homotopy is constructed enabl...
Suppose
is a nonempty closed convex subset of a real Banach space
. Let
In a recent paper we gave a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between real infinite dimensional Banach spaces. Our purpose here is to extend that notion in ...
The purpose of this paper is to show that the Mann iteration converges faster than the Ishikawa iteration for the class of Zamfirescu operators of an arbitrary closed convex subset of a Banach space.
The Erratum to this article has been published in Fixed Point Theory and Applications 2006 2007:097986
New existence and comparison results are proved for fixed points of increasing operators and for common fixed points of operator families in partially ordered sets. These results are then applied to derive exi...
We consider quasicontraction nonself-mappings on Takahashi convex metric spaces and common fixed point theorems for a pair of maps. Results generalizing and unifying fixed point theorems of Ivanov, Jungck, Das...
We introduce an implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly convex Banach space which satisfies Opial's co...
An explicit algorithmic scheme for constructing the unique sunny nonexpansive retraction onto the common fixed point set of a nonlinear semigroup of nonexpansive mappings in a Banach space is analyzed and a pr...
The concept of proper orbits of a map
is introduced and results of the following type are obtained. If a continuous self-map
...
We provide a new result of existence of equilibria of a single-valued Lipschitz function
on a compact set
...
Some results on the existence of solution for certain fuzzy equations are revised and extended. In this paper, we establish the existence of a solution for the fuzzy equation
...
The present paper establishes some coincidence and common fixed point theorems for a sequence of hybrid-type nonself-mappings defined on a closed subset of a metrically convex metric space. Our results general...
Let
be a real Hausdorff topological vector space. In the present paper, the concepts of the transfer positive hemicontinuity and strictly trans...
A fixed point theorem is proved. Moreover, fuzzy Edelstein's contraction theorem is described. Finally, the existence of at least one periodic point is shown.
We use a Mann-type iteration scheme and the metric projection operator (the nearest-point projection operator) to approximate the solutions of variational inequalities in uniformly convex and uniformly smooth ...
We introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an...
-proper maps
We use the theory of fixed point index for weakly inward
-proper maps to establish the existence of positive solutions of some second-order thre...
We establish generic well-posedness of certain null and fixed point problems for ordered Banach space-valued continuous mappings.
Recently, W. A. Kirk proved an asymptotic fixed point theorem for nonlinear contractions by using ultrafilter methods. In this paper, we prove his theorem under weaker assumptions. Furthermore, our proof does ...
Let
be a nonempty closed convex subset of a reflexive real Banach space
wh...
Let
be a nonempty closed bounded convex subset of a Banach space
whose cha...
Theorems on the existence and uniqueness of differentiable solutions for a class of iterated functional series equations are obtained. These extend earlier results due to Zhang.
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