Research
Fixed Point Theory and Applications 2014 2014:122
Published on: 17 May 2014
Research
Fixed Point Theory and Applications 2014 2014:122
Published on: 17 May 2014
Research
In this paper, we introduce two new types of monotone multi-valued mappings in partially ordered metric spaces and prove some fixed point theorems of those two types of mappings under some contraction conditio...
Fixed Point Theory and Applications 2014 2014:110
Published on: 6 May 2014
Research
In this paper, we discuss the connection between concepts of robustness for multi-objective optimization problems and set order relations. We extend some of the existing concepts to general spaces and cones us...
Fixed Point Theory and Applications 2014 2014:83
Published on: 31 March 2014
Research
In this paper, we introduce and analyze a general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of inf...
Fixed Point Theory and Applications 2014 2014:80
Published on: 26 March 2014
Research
The purpose of this paper is to introduce and study a new class of nonlinear mixed ordered inclusion problems in ordered Banach spaces and to obtain an existence theorem and a comparability theorem of the reso...
Fixed Point Theory and Applications 2014 2014:79
Published on: 26 March 2014
Research
In this paper, we present a new iterative scheme to solve the problems of finding common zeros of finite m-accretive mappings in a real Hilbert space. Some strong and weak convergence theorems are established und...
Fixed Point Theory and Applications 2014 2014:77
Published on: 25 March 2014
Research
The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear operator belongs to another fixed point set. Recen...
Fixed Point Theory and Applications 2014 2014:78
Published on: 25 March 2014
Research
Convergence theorems are established in a hyperbolic space for the modified Noor iterations with errors of asymptotically nonexpansive mappings. The obtained results extend and improve the several known result...
Fixed Point Theory and Applications 2014 2014:64
Published on: 17 March 2014
Research
In this paper, employing a new concept of generalized compatibility of a pair of mappings defined on a product space, certain coupled coincidence point results of mappings involved herein are obtained. We also...
Fixed Point Theory and Applications 2014 2014:62
Published on: 13 March 2014
Research
In this paper, we propose and analyze an explicit type algorithm for finding a common element of the set of solutions of a finite family of generalized equilibrium problems and the set of common fixed points o...
Fixed Point Theory and Applications 2014 2014:59
Published on: 6 March 2014
Research
Variational inequality problems over fixed point sets of nonexpansive mappings include many practical problems in engineering and applied mathematics, and a number of iterative methods have been presented to s...
Fixed Point Theory and Applications 2014 2014:51
Published on: 25 February 2014
Research
The purpose of this paper is to obtain best proximity point theorems for a weakly contractive mapping and a weakly Kannan mapping in partial metric spaces. In this paper, the P-operator technique, which changes a...
Fixed Point Theory and Applications 2014 2014:50
Published on: 25 February 2014
Research
We introduce a new nonlinear mapping similar to the nonspreading mapping which is defined by Kohsaka and Takahashi (Arch. Math. 91:166-177, 2008). We prove fixed point theorems for such a mapping without the c...
Fixed Point Theory and Applications 2014 2014:47
Published on: 21 February 2014
Research
Fixed Point Theory and Applications 2014 2014:44
Published on: 20 February 2014
Research
We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directio...
Fixed Point Theory and Applications 2014 2014:40
Published on: 14 February 2014
Research
A new convex feasibility problem, the split equality problem (SEP), has been proposed by Moudafi and Byrne. The SEP was solved through the ACQA and ARCQA algorithms. In this paper the SEPs are extended to infi...
Fixed Point Theory and Applications 2014 2014:35
Published on: 13 February 2014
Research
The existence of fixed points of single-valued mappings in modular function spaces has been studied by many authors. The approximation of fixed points in such spaces via convergence of an iterative process for...
Fixed Point Theory and Applications 2014 2014:34
Published on: 11 February 2014
Research
In this paper, we propose an algorithms for finding a common fixed point of an infinite family of multi-valued generalized nonexpansive mappings in uniformly convex Banach spaces. Under suitable conditions some s...
Fixed Point Theory and Applications 2014 2014:33
Published on: 11 February 2014
Research
In this paper, we present relaxed and composite viscosity methods for computing a common solution of a general systems of variational inequalities, common fixed points of infinitely many nonexpansive mappings ...
Fixed Point Theory and Applications 2014 2014:29
Published on: 4 February 2014
Research
In this paper, the existence and the uniqueness of a common fixed point for two self-mappings satisfying some generalized Berinde-type contractions which involve an altering distance function with
Fixed Point Theory and Applications 2014 2014:24
Published on: 31 January 2014
Research
In this paper, we establish a general result on spherical maxima sharing the same Lagrange multiplier of which the following is a particular consequence: Let X be a real Hilbert space. For each
Fixed Point Theory and Applications 2014 2014:25
Published on: 31 January 2014
Research
In this paper, we suggest and analyze a modified projection method for finding a common solution of a system of variational inequalities, a split equilibrium problem, and a hierarchical fixed-point problem in ...
Fixed Point Theory and Applications 2014 2014:22
Published on: 23 January 2014
Research
In this paper, we first study a hierarchical problem of Baillon’s type, and we study a strong convergence theorem of this problem. For the special case of this convergence theorem, we obtain a strong convergen...
Fixed Point Theory and Applications 2014 2014:20
Published on: 22 January 2014
Research
We study the viscosity approximation method due to Moudafi for a fixed point problem of quasinonexpansive mappings in a Hilbert space. First, we establish a strong convergence theorem for a sequence of quasino...
Fixed Point Theory and Applications 2014 2014:17
Published on: 22 January 2014
Research
Using Cesàro means of a mapping, we modify the progress of Mann’s iteration in hybrid method for asymptotically nonexpansive mappings in Hilbert spaces. Under suitable conditions, we prove that the iterative s...
Fixed Point Theory and Applications 2014 2014:16
Published on: 21 January 2014