Editorial
Fixed Point Theory and Applications 2011 2010:821961
Published on: 10 March 2011
Editorial
Fixed Point Theory and Applications 2011 2010:821961
Published on: 10 March 2011
Research Article
First the characteristic of monotonicity of any Banach lattice is expressed in terms of the left limit of the modulus of monotonicity o...
Fixed Point Theory and Applications 2010 2010:852346
Published on: 31 May 2010
Research Article
Given a tangent vector field on a finite-dimensional real smooth manifold, its degree (also known as characteristic or rotation) is, in some sense, an algebraic count of its zeros and gives useful information for...
Fixed Point Theory and Applications 2010 2010:845631
Published on: 10 May 2010
Research Article
We prove some theorems for the existence of ergodic retractions onto the set of common fixed points of a family of asymptotically nonexpansive mappings. Our results extend corresponding results of Benavides an...
Fixed Point Theory and Applications 2010 2010:281362
Published on: 25 April 2010
Research Article
Existence theorems of fixed points for multivalued increasing operators in partially ordered spaces are presented. Here neither the continuity nor compactness is assumed for multivalued operators. As an applic...
Fixed Point Theory and Applications 2010 2010:745769
Published on: 15 March 2010
Review Article
In 1965, Kirk proved that if is a nonempty weakly compact convex subset of a Banach space with normal structure, then every nonexpansiv...
Fixed Point Theory and Applications 2010 2010:580956
Published on: 28 February 2010
Research Article
We are going to answer some open questions in the theory of hyperconvex metric spaces. We prove that in complete -trees hyperconvex hull...
Fixed Point Theory and Applications 2010 2010:213812
Published on: 24 February 2010
Research Article
Kirk and Saliga and then Chen et al. introduced lower semicontinuity from above, a generalization of sequential lower semicontinuity, and they showed that well-known results, such as Ekeland's variational prin...
Fixed Point Theory and Applications 2010 2010:323487
Published on: 21 February 2010
Research Article
In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order ...
Fixed Point Theory and Applications 2010 2010:782680
Published on: 14 February 2010
Research Article
We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our ...
Fixed Point Theory and Applications 2010 2010:390183
Published on: 14 February 2010
Research Article
If is a complete metric space and is a contraction on
Fixed Point Theory and Applications 2010 2010:716971
Published on: 2 February 2010
Research Article
The first continuation method for contractive maps in the setting of a metric space was given by Granas. Later, Frigon extended Granas theorem to the class of weakly contractive maps, and recently Agarwal and ...
Fixed Point Theory and Applications 2010 2010:321594
Published on: 26 January 2010
Research Article
Fixed point and coincidence results are presented for multivalued generalized -weak contractive mappings on complete metric spaces, wher...
Fixed Point Theory and Applications 2010 2010:708984
Published on: 26 January 2010
Research Article
We study strong convergence of the Ishikawa iterates of qasi-nonexpansive (generalized nonexpansive) maps and some related results in uniformly convex metric spaces. Our work improves and generalizes the corre...
Fixed Point Theory and Applications 2010 2010:385986
Published on: 26 January 2010
Research Article
The aim of this paper is to continue the research work that we have done in a previous paper published in this journal (see Mihail and Miculescu, 2008). We introduce the notion of GIFS, which is a family of fu...
Fixed Point Theory and Applications 2010 2010:584215
Published on: 21 January 2010
Research Article
We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a -convergence ...
Fixed Point Theory and Applications 2010 2010:268780
Published on: 21 January 2010
Research Article
Taking into account possibly inexact data, we study iterative schemes for approximating fixed points and attractors of contractive and nonexpansive set-valued mappings, respectively. More precisely, we are con...
Fixed Point Theory and Applications 2010 2010:518243
Published on: 19 January 2010
Research Article
Fixed Point Theory for multivalued mappings has many useful applications in Applied Sciences, in particular, in Game Theory and Mathematical Economics. Thus, it is natural to try of extending the known fixed p...
Fixed Point Theory and Applications 2010 2010:546761
Published on: 17 January 2010
Research Article
The purpose of this work is to present some (local and global) fixed point results for singlevalued and multivalued generalized contractions on spaces endowed with vector-valued metrics. The results are extens...
Fixed Point Theory and Applications 2010 2010:281381
Published on: 17 January 2010
Research Article
We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators. In the second fi...
Fixed Point Theory and Applications 2010 2010:108343
Published on: 12 January 2010
Research Article
We obtain some new existence theorems of the maximal and minimal fixed points for discontinuous monotone operator on an order interval in an ordered normed space. Moreover, the maximal and minimal fixed points...
Fixed Point Theory and Applications 2009 2010:926209
Published on: 24 December 2009
Research Article
With a recent result of Suzuki (2001) we extend Caristi-Kirk's fixed point theorem, Ekeland's variational principle, and Takahashi's minimization theorem in a complete metric space by replacing the distance wi...
Fixed Point Theory and Applications 2009 2010:970579
Published on: 9 December 2009
Research Article
We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi- -nonexpans...
Fixed Point Theory and Applications 2009 2010:719631
Published on: 9 December 2009
Research Article
We extend the celebrated result of W. A. Kirk that a metric space is complete if and only if every Caristi self-mapping for
Fixed Point Theory and Applications 2009 2010:493298
Published on: 7 December 2009
Research Article
We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discre...
Fixed Point Theory and Applications 2009 2010:765206
Published on: 7 December 2009
Research Article
Motivated by Halpern's result, we prove strong convergence theorem of an iterative sequence in CAT(0) spaces. We apply our result to find a common fixed point of a family of nonexpansive mappings. A convergenc...
Fixed Point Theory and Applications 2009 2010:471781
Published on: 7 December 2009
Research Article
We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We...
Fixed Point Theory and Applications 2009 2010:458265
Published on: 2 December 2009
Research Article
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...
Fixed Point Theory and Applications 2009 2010:864536
Published on: 19 November 2009
Research Article
We use chain methods to prove fixed point results for maximalizing mappings in posets. Concrete examples are also presented.
Fixed Point Theory and Applications 2009 2010:634109
Published on: 18 November 2009
Research Article
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.
Fixed Point Theory and Applications 2009 2010:218573
Published on: 17 November 2009
Research Article
We will use García-Falset and Lloréns Fuster's paper on the AMC-property to prove that a Banach space that ...
Fixed Point Theory and Applications 2009 2010:342691
Published on: 11 November 2009
Research Article
We propose a modified hybrid projection algorithm to approximate a common fixed point of a -strict pseudocontraction and of two sequence...
Fixed Point Theory and Applications 2009 2010:383740
Published on: 1 November 2009
Research Article
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 ...
Fixed Point Theory and Applications 2009 2010:821928
Published on: 25 October 2009
Research Article
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...
Fixed Point Theory and Applications 2009 2010:769858
Published on: 18 October 2009
Research Article
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.
Fixed Point Theory and Applications 2009 2010:418030
Published on: 15 October 2009
Research Article
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 ...
Fixed Point Theory and Applications 2009 2010:898109
Published on: 13 October 2009
Research Article
We introduce and study a new system of generalized nonlinear mixed variational inclusions in real -uniformly smooth Banach spaces. We pr...
Fixed Point Theory and Applications 2009 2010:908490
Published on: 11 October 2009
Research Article
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...
Fixed Point Theory and Applications 2009 2010:647085
Published on: 28 September 2009
Research Article
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...
Fixed Point Theory and Applications 2009 2010:169837
Published on: 29 June 2009