Guest Editors: Qamrul Hasan Ansari, Suliman Al-Homidan, and Jen-Chih Yao
Citation: Fixed Point Theory and Applications 2012 2012:25
Guest Editors: Qamrul Hasan Ansari, Suliman Al-Homidan, and Jen-Chih Yao
Citation: Fixed Point Theory and Applications 2012 2012:25
The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find where
Citation: Fixed Point Theory and Applications 2011 2011:780764
We discuss several properties of -functions in the sense of Al-Homidan et al.. In particular, we prove that the partial metric induced b...
Citation: Fixed Point Theory and Applications 2011 2011:603861
We introduced a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-ϕ-nonexpansive mappings, the set of common solutions of a finite family of equilibri...
Citation: Fixed Point Theory and Applications 2011 2011:372975
We prove a strong convergence theorem by a shrinking projection method for the class of mappings. Using this theorem, we get a new resu...
Citation: Fixed Point Theory and Applications 2011 2011:681214
The purpose of this paper is to consider a shrinking projection method for finding the common element of the set of common fixed points for nonexpansive semigroups, the set of common fixed points for an infini...
Citation: Fixed Point Theory and Applications 2011 2011:217407
The purpose of this paper is to present some fixed-point results for single-valued -contractions on ordered and complete gauge space. Ou...
Citation: Fixed Point Theory and Applications 2011 2011:979586
We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces. We establish an existence theor...
Citation: Fixed Point Theory and Applications 2011 2011:475121
Strong convergence theorems are established for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces. Our results extend and improve the recent ones announced by Kim and Xu (2005), Hu (200...
Citation: Fixed Point Theory and Applications 2011 2011:869458
We consider a new iterative algorithm for finding a common element of the set of generalized mixed equilibrium problems, the set of solutions of a system of quasivariational inclusions for two difference inver...
Citation: Fixed Point Theory and Applications 2011 2011:601910
We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the p...
Citation: Fixed Point Theory and Applications 2011 2011:941090
We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces ar...
Citation: Fixed Point Theory and Applications 2010 2011:635030
Approximate optimality conditions for a class of nonconvex semi-infinite programs involving support functions are given. The objective function and the constraint functions are locally Lipschitz functions on
Citation: Fixed Point Theory and Applications 2010 2011:175327
We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT ...
Citation: Fixed Point Theory and Applications 2010 2011:173621
Matthews (1994) introduced a new distance on a nonempty set
Citation: Fixed Point Theory and Applications 2010 2011:508730
This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a nonexpansive semigroup in Hilbert spaces. The results presented ...
Citation: Fixed Point Theory and Applications 2010 2011:783502
A major puzzle in neural networks is understanding the information encoding principles that implement the functions of the brain systems. Population coding in neurons and plastic changes in synapses are two im...
Citation: Fixed Point Theory and Applications 2010 2011:615274
The purpose of this paper is to prove the strong convergence theorem for finding a common element of the set of fixed point problems of strictly pseudocontractive mapping in Hilbert spaces and two sets of gene...
Citation: Fixed Point Theory and Applications 2010 2011:274820
The hybrid steepest-descent method introduced by Yamada (2001) is an algorithmic solution to the variational inequality problem over the fixed point set of nonlinear mapping and applicable to a broad range of ...
Citation: Fixed Point Theory and Applications 2010 2011:754702
We introduce the notion of -spaces which is much weaker than cone metric spaces defined by Huang and X. Zhang (2007). We establish some ...
Citation: Fixed Point Theory and Applications 2010 2011:914624
By using the projection methods, we suggest and analyze the iterative schemes for finding the approximation solvability of a system of general variational inequalities involving different nonlinear operators i...
Citation: Fixed Point Theory and Applications 2010 2011:689478
We apply the variational characterization of the metric projection to prove some results about the solvability of general variational inequalities and the existence of maximum and minimum solutions to some gen...
Citation: Fixed Point Theory and Applications 2010 2011:904320
We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of
Citation: Fixed Point Theory and Applications 2010 2011:852789
We study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of...
Citation: Fixed Point Theory and Applications 2010 2011:945413
We introduce an iterative algorithm for finding a common element of the set of solutions of an infinite family of equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings in...
Citation: Fixed Point Theory and Applications 2010 2011:392741
We introduce the concept of asymptotic center of maps and consider relation between asymptotic center and fixed point of nonexpansive maps in a Banach space.
Citation: Fixed Point Theory and Applications 2010 2011:175989
We introduce a new iterative scheme based on both hybrid method and extragradient method for finding a common element of the solutions set of a system of equilibrium problems, the fixed points set of a nonexpa...
Citation: Fixed Point Theory and Applications 2010 2011:232163
We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexi...
Citation: Fixed Point Theory and Applications 2010 2011:671754
We introduce a new general iterative scheme for finding a common element of the set of solutions of variational inequality problem for an inverse-strongly monotone mapping and the set of fixed points of a none...
Citation: Fixed Point Theory and Applications 2010 2011:284363
As a well-known numerical method, the extragradient method solves numerically the variational inequality of finding
Citation: Fixed Point Theory and Applications 2010 2011:697248
The main purpose of this paper is to introduce an explicit iterative algorithm to study the existence problem and the approximation problem of solution to the quadratic minimization problem. Under suitable con...
Citation: Fixed Point Theory and Applications 2010 2011:915629
In quasigauge spaces, we introduce the families of generalized quasipseudodistances, and we define three kinds of dissipative set-valued dynamic systems with these families of generalized quasi-pseudodistances...
Citation: Fixed Point Theory and Applications 2010 2011:712706
This paper presents a framework of iterative methods for finding specific common fixed points of a nonexpansive self-mappings semigroup in a Banach space. We prove, with appropriate conditions, the strong conv...
Citation: Fixed Point Theory and Applications 2010 2011:620284
The purpose of this paper is to introduce and consider new hybrid proximal-type algorithms for finding a common element of the set of s...
Citation: Fixed Point Theory and Applications 2010 2011:973028
We introduce a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a ...
Citation: Fixed Point Theory and Applications 2010 2011:945051
In the setting of quasimetric spaces, we prove some new results on the existence of fixed points for contractive type maps with respect to
Citation: Fixed Point Theory and Applications 2010 2011:178306
The purpose of this paper is to introduce and investigate two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established ...
Citation: Fixed Point Theory and Applications 2010 2011:282171
Using the concept of a mixed g-monotone mapping, we prove some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with...
Citation: Fixed Point Theory and Applications 2010 2011:703938