This paper uses a hybrid algorithm to find a common element of the set of solutions to a generalized mixed equilibrium problem, the set of solutions to variational inequality problems, and the set of common fixed poin...This paper uses a hybrid algorithm to find a common element of the set of solutions to a generalized mixed equilibrium problem, the set of solutions to variational inequality problems, and the set of common fixed points for a finite family of quasi-C- nonexpansive mappings in a uniformly smooth and strictly convex Banach space. As applications, we utilize our results to study the optimization problem. It shows that our results improve and extend the corresponding results announced by many others recently.展开更多
By using the partially ordered methods, the existence problem of solutions formore general implicit varational inequalities of monotone type in Hausdorfftopological linear spaces are considered. As application we uti...By using the partially ordered methods, the existence problem of solutions formore general implicit varational inequalities of monotone type in Hausdorfftopological linear spaces are considered. As application we utilize the results presentedin this paper to study the existence of solutions for Nash equilibrium problem and thesemi-linear elliptic differential equations.展开更多
基金supported by the Natural Science Foundation of Yibin University (No. 2009Z003)
文摘This paper uses a hybrid algorithm to find a common element of the set of solutions to a generalized mixed equilibrium problem, the set of solutions to variational inequality problems, and the set of common fixed points for a finite family of quasi-C- nonexpansive mappings in a uniformly smooth and strictly convex Banach space. As applications, we utilize our results to study the optimization problem. It shows that our results improve and extend the corresponding results announced by many others recently.
文摘By using the partially ordered methods, the existence problem of solutions formore general implicit varational inequalities of monotone type in Hausdorfftopological linear spaces are considered. As application we utilize the results presentedin this paper to study the existence of solutions for Nash equilibrium problem and thesemi-linear elliptic differential equations.