Research
In this paper, we show the hierarchical convergence of the following implicit double-net algorithm:
Fixed Point Theory and Applications 2011 2011:101
Published on: 20 December 2011
Research
In this review, we introduce a new KKM-type theorem for intersectionally closed-valued KKM map on abstract convex spaces and its direct consequences such as a Fan-Browder-type fixed point theorem and maximal e...
Fixed Point Theory and Applications 2011 2011:98
Published on: 7 December 2011
Research
In this paper, a CAT(0) version of famous Fan's minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces.
Fixed Point Theory and Applications 2011 2011:61
Published on: 4 October 2011
Research
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Fixed Point Theory and Applications 2011 2011:52
Published on: 16 September 2011
Research
A new general iterative method for finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and...
Fixed Point Theory and Applications 2011 2011:47
Published on: 5 September 2011
Research
In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions. W...
Fixed Point Theory and Applications 2011 2011:42
Published on: 25 August 2011
The Erratum to this article has been published in Fixed Point Theory and Applications 2012 2012:28
Research
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in s...
Fixed Point Theory and Applications 2011 2011:41
Published on: 22 August 2011
Research
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting.
Fixed Point Theory and Applications 2011 2011:34
Published on: 15 August 2011
Research
In this paper, a scalarization result of ε-weak efficient solution for a vector equilibrium problem (VEP) is given. Using this scalarization result, the connectedness of ε-weak efficient and ε-efficient solutions...
Fixed Point Theory and Applications 2011 2011:36
Published on: 15 August 2011
Research
In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied. To overcome the difficul...
Fixed Point Theory and Applications 2011 2011:31
Published on: 11 August 2011
Research
We prove a common fixed point theorem for four mappings defined on an ordered metric space and apply it to find new common fixed point results. The existence of common fixed points is established for two or th...
Fixed Point Theory and Applications 2011 2011:25
Published on: 4 August 2011
Research
Fixed Point Theory and Applications 2011 2011:24
Published on: 2 August 2011
Research
The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of sol...
Fixed Point Theory and Applications 2011 2011:22
Published on: 27 July 2011
Research
Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K → K is a single-valued quasi-nonexpansive mapping and T
Fixed Point Theory and Applications 2011 2011:20
Published on: 25 July 2011
Research
The convex feasibility problem (CFP) of finding a point in the nonempty intersection
is considered, where r ≥ 1 is an integer and each
Fixed Point Theory and Applications 2011 2011:19
Published on: 25 July 2011
Research
In this article, we introduce some new iterative schemes based on the extragradient method (and the hybrid method) for finding a common element of the set of solutions of a generalized equilibrium problem, and...
Fixed Point Theory and Applications 2011 2011:12
Published on: 29 June 2011
Research
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence t...
Fixed Point Theory and Applications 2011 2011:10
Published on: 24 June 2011
Research
In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problem...
Fixed Point Theory and Applications 2011 2011:9
Published on: 23 June 2011
Research
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by us...
Fixed Point Theory and Applications 2011 2011:7
Published on: 22 June 2011
Research
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete m...
Fixed Point Theory and Applications 2011 2011:5
Published on: 21 June 2011
Research
A multiobjective fractional optimization problem (MFP), which consists of more than two fractional objective functions with convex numerator functions and convex denominator functions, finitely many convex con...
Fixed Point Theory and Applications 2011 2011:6
Published on: 21 June 2011
Research
We obtain versions of the Boyd and Wong fixed point theorem and of the Matkowski fixed point theorem for multivalued maps and w-distances on complete quasi-metric spaces. Our results generalize, in several direct...
Fixed Point Theory and Applications 2011 2011:2
Published on: 20 June 2011
Research Article
We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed points for a finite fa...
Fixed Point Theory and Applications 2011 2011:276859
Published on: 15 March 2011
Research Article
We introduce an iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions mapping, the set of common solutions of a system of two mixed equilibrium problems and t...
Fixed Point Theory and Applications 2011 2011:347204
Published on: 14 March 2011
Research Article
-Ternary
-Homomorphisms: A Fixed Point Approach
Using fixed point methods, we prove the stability and superstability of
-ternary additive, quadratic, cubic, and quartic homomorphisms i...
Fixed Point Theory and Applications 2011 2011:454093
Published on: 14 March 2011
Research Article
We prove the generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation
in non-Archimedean spaces.
Fixed Point Theory and Applications 2011 2011:309026
Published on: 14 March 2011
Research Article
We devote this paper to solving the variational inequality of finding
with property
...
Fixed Point Theory and Applications 2011 2011:794203
Published on: 13 March 2011
Research Article
Fixed point results with the concept of generalized weakly contractive conditions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature.
Fixed Point Theory and Applications 2011 2011:132367
Published on: 10 March 2011
Research Article
-Convex Spaces
This paper deals with the generalized strong vector quasiequilibrium problems without convexity in locally
-convex spaces. Using the Kak...
Fixed Point Theory and Applications 2011 2011:967515
Published on: 9 March 2011
Research Article
The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main resul...
Fixed Point Theory and Applications 2011 2011:583423
Published on: 2 March 2011
Research Article
-Accretive Mappings in Banach Spaces
We introduce implicit and explicit viscosity iterative algorithms for a finite family of
-accretive operators. Strong convergence theore...
Fixed Point Theory and Applications 2011 2011:216173
Published on: 1 March 2011
Research Article
An iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator a...
Fixed Point Theory and Applications 2011 2011:368137
Published on: 1 March 2011
Research Article
The modified Ishikawa iterative process is investigated for the class of total asymptotically pseudocontractive mappings. A weak convergence theorem of fixed points is established in the framework of Hilbert s...
Fixed Point Theory and Applications 2011 2011:859795
Published on: 27 February 2011
Research Article
We prove a strong convergence theorem for an infinite family of asymptotically strict pseudo-contractions and an infinite family of equilibrium problems in a Hilbert space. Our proof is simple and different fr...
Fixed Point Theory and Applications 2011 2011:859032
Published on: 23 February 2011
Research Article
The existence of common fixed points is established for the mappings where
is asymptotically
...
Fixed Point Theory and Applications 2011 2011:812813
Published on: 27 January 2011
Research Article
We propose a hybrid extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-po...
Fixed Point Theory and Applications 2010 2011:626159
Published on: 29 December 2010
Research Article
-Spaces
We first prove that the product of a family of
-spaces is also an
Fixed Point Theory and Applications 2010 2011:561573
Published on: 27 October 2010
