[PDF] Top 20 The system of generalized set valued equilibrium problems
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The system of generalized set valued equilibrium problems
... The (SEP) was studied by Ansari et al. [2], Ansari and Yao [6], Konnov and Yao [22], Lin et al. [23], Oettli and Schlager [26], and the (SEP) contains the vector equilibrium problem in [10, 13, 19, 23, 25, 28] and ... See full document
9
Solving the Set Equilibrium Problems
... for all y ∈ K. Existence of a solution of this problem is investigated by Ansari et al. 1, 2. If f is a vector-valued function and Z LX, Y which is denoted the space of all continuous linear mappings from X to Y ... See full document
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Existence stability theorems for strong vector set valued equilibrium problems in reflexive Banach spaces
... The rest of the paper is organized as follows. In Section , we introduce some basic notations and preliminary results. In Section , under suitable conditions we investigate the equivalence between the nonemptiness and ... See full document
14
Auxiliary principle technique and iterative algorithm for a perturbed system of generalized multi valued mixed quasi equilibrium like problems
... perturbed system of generalized multi-valued mixed quasi-equilibrium- like problems and a perturbed system of auxiliary generalized multi-valued mixed quasi- ... See full document
17
Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
... the set of solutions of GMEP ...of equilibrium problems and variational inequalities as special ...of set of solutions of an equilibrium problem EP and set of fixed points of a ... See full document
15
Existence and Hadamard well posedness of a system of simultaneous generalized vector quasi equilibrium problems
... In this subsection, we will introduce Hadamard-type well-posedness for (SSGVQEP) and establish sufficient conditions of Hadamard-type well-posedness for (SSGVQEP). Broadly speaking, we say that a problem is Hadamard ... See full document
10
Generalized strict feasibility and solvability for generalized vector equilibrium problem with set valued map in reflexive Banach spaces
... (ii) The mapping F : K ® 2 Y is said to be C-lower semicontinuous if the set {x Î K | F (x) - a ⊈ int C} is closed on K for any a Î Y. F is said to be weakly C-lower semicontin- uous if F is C-lower semicontinuous ... See full document
11
Convergence and stability analysis of iterative algorithm for a generalized set-valued mixed equilibrium problem
... non-monotone set-valued mappings with non-compact values, then we consider the following generalized set-valued mixed equilibrium problem (in short, ... See full document
12
A new hybrid general iterative algorithm for common solutions of generalized mixed equilibrium problems and variational inclusions
... minimization problems. Convex minimization problems have a great impact and influence in the development of almost all branches of pure and applied ...the set of the fixed points of a nonexpansive ... See full document
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On a Hybrid Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem of a Family of Quasi--Asymptotically Nonexpansive Mappings in Banach Spaces
... the set of solutions for generalized mixed equilibrium problems, the set of fixed points of a family of quasi-φ-asymptotically nonexpansive mappings in strictly convex reflexive Banach ... See full document
18
Abstract generalized vector quasi equilibrium problems in noncompact Hadamard manifolds
... nonempty set X and f : X × X → R be a bifunction. The scalar equilibrium problem (for short, SEP) is to find x ∈ K such that f ( x, y) ≥ for every y ∈ ...of problems arising in pure and applied ... See full document
20
Yosida approximation equations technique for system of generalized set valued variational inclusions
... important problems in variation inclusions are the estab- lishment of system of variational inclusions and the development of an efficient numerical ...new system of generalized variational ... See full document
11
Weak convergence theorems for inverse-strongly skew-monotone operators and generalized mixed equilibrium problems in Banach spaces
... the set of solutions for the generalized mixed equilibrium prob- lem, the common fixed points for two generalized nonexpansive type mappings and the set of solutions of the variational ... See full document
19
Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces
... the set of common solutions of a finite family of generalized equilibrium problems and the set of common fixed points of two countable families of total quasi-ϕ- asymptotically ... See full document
16
Strong Convergence for Generalized Equilibrium Problems, Fixed Point Problems and Relaxed Cocoercive Variational Inequalities
... the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the generalized equilibrium problem, and the set of solutions of variational inequality ... See full document
43
Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi Nonexpansive Mapping and Relatively Nonexpansive Mapping
... the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fixed points of a quasi-φ-nonexpansive ... See full document
15
Hybrid Algorithm for Finding Common Elements of the Set of Generalized Equilibrium Problems and the Set of Fixed Point Problems of Strictly Pseudocontractive Mapping
... the set of fixed point problem and the set of equilibrium problem in Hilbert spaces, for instance, [2, 3, ...the set of fixed points of strictly pseudocontractive mapping and two sets of ... See full document
19
Generalized vector quasi equilibrium problems with set valued mappings
... be set-valued mappings, and let C : X → 2 Z be a set-valued mapping such that C ( x ) is a closed pointed and convex cone with int C ( x ) = ∅ for each x ∈ X , where int C ( x ) denotes the ... See full document
12
Connectedness and Compactness of Weak Efficient Solutions for Set Valued Vector Equilibrium Problems
... the set-valued map F : A × A → 2 Y defined by Fx, y Tx, y − x is C-convex in its second variable, and the set {Fx, y : x, y ∈ A} is a bounded set in ... See full document
15
Second order composed contingent epiderivatives and set valued vector equilibrium problems
... Motivated by the work reported in [, , –, ], we introduce a new second- order derivative called second-order composed contingent epiderivative for set-valued maps and obtain some of its ... See full document
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