[PDF] Top 20 On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces
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On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces
... auxiliary problems for the equilibrium problem (1.1) in Banach space is ...the existence of approximate solutions of the auxiliary problems for the equilibrium ... See full document
14
Existence stability theorems for strong vector set valued equilibrium problems in reflexive Banach spaces
... important problems in the theory of (WVSEP), as they can guarantee the weak convergence of some solution algorithms [, ] in infinite dimensional ...the existence theo- rems under generalized ... See full document
14
Existence and iterative approximation for generalized equilibrium problems for a countable family of nonexpansive mappings in banach spaces
... In 2008, Takahashi et al. [11] has adapted Nakajo and Takahashi ’ s [12] idea to mod- ify the process (1.2) so that strong convergence has been guaranteed. They proposed the following modification for a family of ... See full document
12
Strong convergence theorem for quasi-Bregman strictly pseudocontractive mappings and equilibrium problems in Banach spaces
... Hilbert spaces; see for example Blum and Oettli [], Combettes and Hirstoaga ...strong convergence theorems for finding a common element of the set of solutions of an equilibrium problem and ... See full document
16
Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces
... strong convergence through explicit and implicit algorithms for finding a common solution of the set of fixed points of (relatively nonexpansive, quasi-ϕ-nonexpansive, quasi-ϕ-asymptotically nonexpansive, total ... See full document
16
Convergence theorems for finding zero points of maximal monotone operators and equilibrium problems in Banach spaces
... common solutions to a system of generalized equilibrium problems in a uniformly smooth and strictly convex Banach ...strong convergence theorems of the algorithm to a common element of ... See full document
18
Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces
... of solutions of the problem (.) by EP(H). Since then, various equilibrium problems have been ...that equilibrium problems and their generalizations have been important tools for ... See full document
16
Existence of multiple positive solutions for fourth-order boundary value problems in Banach spaces
... in equilibrium state, whose two ends are simply ...the existence of this problem in a scalar space has been studied by many authors using Schauder’s fixed-point theorem and the Leray-Schauder degree theory ... See full document
13
A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space
... solution problems (i.e., to find a common element of the set of solutions of equilibrium problems and/or the set of fixed points of mappings and/or the set of solutions of variational ... See full document
13
A proximal point algorithm for zeros of monotone operators
... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document
7
A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
... the problems of finding a common element of the set of fixed points for a mapping and the set of solutions of equilibrium problem in the setting of Hilbert space and uniformly smooth and uniformly ... See full document
14
Existence of solutions and convergence analysis for a system of quasivariational inclusions in Banach spaces
... inequality problems, in this paper, a new system of generalized quasivariational inclusion (for short, (SGQVI)) is ...using Banach contraction principle, some existence and uniqueness theorems of ... See full document
14
Demiclosed principle and convergence theorems for asymptotically strictly pseudononspreading mappings and mixed equilibrium problems
... The demiclosed principle and the closeness and convexity of the set of fixed points of a nonlinear mapping play very important roles in investigating many nonlinear problems. We now show the demiclosed principle of ... See full document
20
Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces
... vector equilibrium problem (VEP) is ...-efficient solutions sets for the VEPs are proved under some suitable conditions in real Hausdorff topological vector ... See full document
11
A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces
... of equilibrium prob- lems and split feasibility problems, the purpose of this article is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in ... See full document
16
Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
... At the same time, we also notice that there has been increasing interest in studying nonlinear differential equation and impulsive integrodifferential equation on an infinite interval with an infinite number of impulsive ... See full document
15
Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings
... 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 ... See full document
13
Approximation of Common Fixed Points of a Countable Family of Relatively Nonexpansive Mappings
... a Banach space E and let f : C × C → R be a bifunction. The equilibrium problem for a bifunction f is to find x ∈ C such that fx, y ≥ 0 for all y ∈ ...of solutions above is denoted by EPf, that ... See full document
26
On the Weak Relatively Nonexpansive Mappings in Banach Spaces
... In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors 5–8, but they have not given the example which is weak relatively nonexpansive mapping but not ... See full document
7
Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators
... for T , and I is the identity operator on H. This algorithm was first introduced by Martinet 19 and further studied by Rockafellar 20 in the framework of a Hilbert space H. Later several authors studied 1.9 and its ... See full document
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