[PDF] Top 20 Solving the Set Equilibrium Problems

... vector equilibrium problems, vector variational inequalities, and implicit generalized variational ...important problems arising in mathematical, mechanics, operations research, engineering sciences, ... See full document

... 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 Y ... See full document

... We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a ... See full document

... general equilibrium problems 3 have been extended to the case of vector-valued bifunctions, known as vector equilibrium ...vector equilibrium problem provides a unified model of several ... See full document

... of nonempty subsets of K. We denote by R the filed of real numbers and by N the set of all positive integers. Let T : K → K be a nonlinear mapping. The set of all fixed points of T is denoted by F(T ). Let ... See full document

... for set-valued maps and discuss some of its ...of set-valued vector equilibrium problems with unconstraints and set-valued vector equilibrium problems with constraints, ... See full document

... Motivated by the previous results, in this paper, we introduce and study the Mann-type iteration to approximate a common solution of the split equilibrium problem and the fixed point problem for a   -nonspreading ... See full document

... 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

... essential set of F(u) for each u ∈ H. Now, for each minimal essential set of F(u), as Yang and Yu did in [], we prove that each minimal essential set of F(u) is ...essential set of ... See full document

... 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 ... See full document

... the set of solution of equilibrium problems and the set of fixed points of a nonexpansive mapping in a Hilbert ...the set of solution of equilibrium problems and the ... See full document

... the set of fixed points of (relatively nonexpansive, quasi-ϕ-nonexpansive, quasi-ϕ-asymptotically nonexpansive, total quasi-ϕ-asymptotically nonexpansive) mappings and the set of solutions of equilib- rium ... See full document

... the set of solutions of GMEP ...of equilibrium problems and variational inequalities as special ...for solving variational ...of set of solutions of an equilibrium problem EP and ... See full document

... the set of solutions of split mixed equilibrium problems and the set of fixed points of λ-hybrid multivalued mappings in real Hilbert spaces and give a numerical example to support our main ... See full document

... of problems which arise in economics, finance, image reconstruction, trans- portation, network and so on, appear as a special case of problem ...solution set of these problems or common solution of ... See full document

... vector equilibrium problems (for short, ...of set-valued analysis, we prove that there exists a dense everywhere residual subset Q of M such that each VEP in Q has a unique ...solution set to ... See full document

... the set-valued vector equilibrium problems and reveal the re- lationship between weakly efficient solutions and approximate weakly efficient ...for set-valued vector equilibrium ... See full document

... solution set of problem (2) is denoted by Ω ∗ . The bilevel equilibrium problems were introduced by Chadli et ...of problems is very important and inter- esting because it is a generalization ... See full document

... where A : C → H is a monotone mapping. The solution set of (.) is denoted by VI(C, A). Projection methods have been recently investigated for solving variational inequality (.). It is well known that x ... See full document

... for solving a pseu- domonotone equilibrium problem without Lipschitz-type continuity of the bifunction and the computation of ...auxiliary problems. Next, we construct an appropriate hyperplane and a ... See full document