Editorial
Fixed Point Theory and Applications 2011 2010:721648
Published on: 2 March 2011
Editorial
Fixed Point Theory and Applications 2011 2010:721648
Published on: 2 March 2011
Research Article
Coincidence and fixed point theorems for a new class of contractive, nonexpansive and hybrid contractions are proved. Applications regarding the existence of common solutions of certain functional equations ar...
Fixed Point Theory and Applications 2010 2010:452905
Published on: 31 May 2010
Research Article
We discuss fixed point properties of convex subsets of locally convex linear topological spaces. We derive equivalence among fixed point properties concerning several types of multivalued mappings.
Fixed Point Theory and Applications 2010 2010:581728
Published on: 23 May 2010
Research Article
We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups...
Fixed Point Theory and Applications 2010 2010:692401
Published on: 17 May 2010
Research Article
The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equat...
Fixed Point Theory and Applications 2010 2010:916064
Published on: 10 May 2010
Research Article
Our aim is twofold: first, we want to introduce a partial quasiordering in cone uniform spaces with generalized pseudodistances for giving the general maximality principle in these spaces. Second, we want to s...
Fixed Point Theory and Applications 2010 2010:175453
Published on: 18 April 2010
Research Article
The partial KKM principle for an abstract convex space is an abstract form of the classical KKM theorem. In this paper, we derive generalized forms of the Ky Fan minimax inequality, the von Neumann-Sion minima...
Fixed Point Theory and Applications 2010 2010:234706
Published on: 12 April 2010
Research Article
We introduce an iterative method for a pair of hemirelatively nonexpansive mappings. Strong convergence of the purposed iterative method is obtained in a Banach space.
Fixed Point Theory and Applications 2010 2010:270150
Published on: 31 March 2010
Research Article
A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems...
Fixed Point Theory and Applications 2010 2010:186874
Published on: 30 March 2010
Research Article
The main aim of this paper is to study and establish some new coupled fixed point theorems for nonlinear contractive maps that satisfied Mizoguchi-Takahashi's condition in the setting of quasiordered metric sp...
Fixed Point Theory and Applications 2010 2010:876372
Published on: 30 March 2010
Research Article
In 1957, Kolmogorov and Arnold gave a solution to the 13th problem which had been formulated by Hilbert in 1900. Actually, it is known that there exist many open problems which can be derived from the original...
Fixed Point Theory and Applications 2010 2010:287647
Published on: 14 March 2010
Research Article
We prove that the set of common fixed points of a given countable family of relatively nonexpansive mappings is identical to the fixed-point set of a single strongly relatively nonexpansive mapping. This answe...
Fixed Point Theory and Applications 2010 2010:414232
Published on: 10 March 2010
Research Article
The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banac...
Fixed Point Theory and Applications 2010 2010:512751
Published on: 23 February 2010
Research Article
We establish fixed point theorems for multivalued mappings defined on a closed subset of a complete metric space. We generalize Lim's result on weakly inward contractions in a Banach space. We also generalize ...
Fixed Point Theory and Applications 2010 2010:183217
Published on: 21 February 2010
Research Article
We introduce composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach spaces. Then, under certain differen control conditions, we establish ...
Fixed Point Theory and Applications 2010 2010:103465
Published on: 16 February 2010
Research Article
We propose some new iterative schemes for finding common fixed point of an infinite family of nonexpansive mappings in a Hilbert space and prove the strong convergence of the proposed schemes. Our results exte...
Fixed Point Theory and Applications 2010 2010:572838
Published on: 14 February 2010
Research Article
Assume that is a Banach space such that its Szlenk index i...
Fixed Point Theory and Applications 2010 2010:268270
Published on: 2 February 2010
Research Article
Taking into account possibly inexact data, we study both existence and approximation of fixed points for certain set-valued mappings of contractive type. More precisely, we study the existence of convergent it...
Fixed Point Theory and Applications 2010 2010:351531
Published on: 2 February 2010
Research Article
We introduce and study some new CQ-type iterative algorithms with variable coefficients for asymptotically strict pseudocontractions in real Hilbert spaces. General results for asymptotically strict pseudocont...
Fixed Point Theory and Applications 2010 2010:948529
Published on: 28 January 2010
Research Article
Let be a real Hilbert space and let be a boundedly Lipschi...
Fixed Point Theory and Applications 2010 2010:673932
Published on: 24 January 2010
Research Article
Some fixed point theorems of half-continuous mappings which are possibly discontinuous defined on topological vector spaces are presented. The results generalize the work of Philippe Bich (2006) and several we...
Fixed Point Theory and Applications 2010 2010:814970
Published on: 21 January 2010
Research Article
The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set EP of a generalized equilibrium problem and the set
Fixed Point Theory and Applications 2010 2010:590278
Published on: 21 January 2010
Research Article
We introduce an iterative algorithm for finding a common element of the set of solutions of quasivariational inclusion problems and of the set of fixed points of strict pseudocontractions in the framework Hilb...
Fixed Point Theory and Applications 2010 2010:278973
Published on: 12 January 2010
Research Article
For a monotone operator , we shall show weak convergence of Rockafellar's proximal point algorithm to some zero of ...
Fixed Point Theory and Applications 2010 2010:240450
Published on: 12 January 2010
Research Article
Let be a generalized convex metric space, and let ,
Fixed Point Theory and Applications 2010 2010:281890
Published on: 5 January 2010
Research Article
The purpose of this paper is to introduce hybrid projection algorithms for finding a common element of the set of common fixed points of a countable family of relatively nonexpansive mappings and the set of so...
Fixed Point Theory and Applications 2009 2010:962628
Published on: 31 December 2009
Research Article
A mixed monotone variational inequality (MMVI) problem in a Hilbert space is formulated to find a point ...
Fixed Point Theory and Applications 2009 2010:291851
Published on: 7 December 2009
Research Article
We introduce two general iterative schemes for finding a common fixed point of a countable family of relatively nonexpansive mappings in a Banach space. Under suitable setting, we not only obtain several conve...
Fixed Point Theory and Applications 2009 2010:407651
Published on: 7 December 2009
Research Article
A real-valued continuous function on an interval gives ris...
Fixed Point Theory and Applications 2009 2010:241908
Published on: 2 December 2009
Research Article
Suppose that is a nonempty closed convex subset of a complete CAT(0) space
Fixed Point Theory and Applications 2009 2010:367274
Published on: 2 December 2009
Research Article
We prove convergence theorems of modified Ishikawa iterative sequence for two nonexpansive semigroups in Hilbert spaces by the two hybrid methods. Our results improve and extend the corresponding results annou...
Fixed Point Theory and Applications 2009 2010:914702
Published on: 25 November 2009
Research Article
We consider a modified Halpern type iterative algorithm for a family of quasi- -nonexpansive mappings in the framework of Banach spaces. ...
Fixed Point Theory and Applications 2009 2010:754320
Published on: 24 November 2009
Research Article
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,
Fixed Point Theory and Applications 2009 2010:204981
Published on: 1 November 2009
Research Article
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...
Fixed Point Theory and Applications 2009 2010:732872
Published on: 27 October 2009