[PDF] Top 20 Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems

... physical problems such as the theories of lubrications, filterations and flows, moving boundary problems, see, ...to variational inequality or equilibrium ...these problems have ... See full document

... of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping say x ∈ C which solves the variational ... See full document

... common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued maximal monotone mapping, and inverse strongly monotone ... See full document

... of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of solutions of a variational inequality problem for a monotone and Lipschitz ... See full document

... of solutions of EP is denoted by ...several problems, namely, variational inequality problems, optimization problems, saddle point problems, complementarity problems, fixed ... See full document

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. Recall that a mapping T of H into itself is called nonexpansive see 1 if Tx − Ty ≤ x − y for all x, y ∈ H. We denote by FT {x ∈ C : Tx x} ... See full document

... Remark . It is worth mentioning that although there are some papers which have ap- plied the Wiener-Hopf equation technique to solve VIP and VI(K , T )∩F(S), their research does not include EP(f ). However, our ... See full document

... The equilibrium problem is a generalization of classical variational ...important problems as special cases, for instance, optimization, Nash equilibrium, complementarity, and ... See full document

... of fixed points of a family of finitely nonexpansive mappings in a Hilbert ...of solutions of problem (1.2) and the set of fixed points of a family of infinitely (finitely) nonexpansive ... See full document

... of C into itself. Here, the two-step relaxed extragradient method is based on Korpele- vich’s extragradient method [] and viscosity approximation method. We first suggest and analyze an implicit iterative ... See full document

... The variational relation problem was introduced in [] and studied in a number of recent works ...of problems of applied mathematics including optimization problems, variational ... See full document

... viscosity approximation method for finding a common element of the set of solutions of the EP and the set of fixed points of a nonexpansive mapping in a real Hilbert ... See full document

... under some mind ...of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse-strongly monotone mapping, the set of solutions of an equilibrium ... See full document

... and g ∈ Ty imply x – y, f – g > . A monotone mapping T : H →  H is maximal if the graph G(T ) of T is not properly contained in the graph of any other monotone mapping. It is known that a monotone mapping T is ... See full document

... of solutions of the NCP( f ,K ) and VI( f , K) problems, many authors have used the techniques of KKM mappings, and the Fan-KKM theorem from fixed point theory (see [1, 5, 6, 7, 8, 9, ... See full document

... the solutions of systems of equilibrium problems, systems of variational inequalities and fixed point problems of amenable semigroup of nonexpansive ... See full document

... of solutions of systems of equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings and a representation of nonexpansive ...a variational ... See full document

... spaces, 2 ≤ p < ∞ under conditions C1, C2, and C5 or C6 as in the result of Xu and Kim. It is our purpose in this paper to modify the schemes 1.8 and 1.9 and prove strong convergence theorems for the unique solution ... See full document

... of fixed points of a family of finitely nonexpansive mappings, the set of solutions of mixed equilibrium problem and the set of solutions of a variational inequality problem for ... See full document

... various problems in mathematical sciences including economic and game theories, it seems to be quite natural to generalize known results on applications of theorems of Kakutani and Him- melberg in view of our ... See full document