Foundation item: Supported by the Natural Science Foundation of Guizhou Province(J2011]2093)
In this paper, we present a new fixed point theorem in L-convex spaces and apply it to obtain a maximal element theorem, a variational inequality and a saddle point theorem in L-convex spaces.
Supported by the Natural Science Foundation of Hebei Province(A2010001943); Supported by the Science Grant of Beijing Jiaotong University(2011YJS075)
In this paper,we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces.Our results mainly improve the corresponding resul...
In this paper,A strong convergence theorem for a finite family of nonexpansive mappings and relaxed cocoercive mappings based on an iterative method in the framework of Hilbert spaces is established.
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department(2008072); Supported by the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)
In this paper,a new GMλ-KKM theorem is established for noncompact λ-hyperconvex metric spaces.As applications,the properties of the solution set of the variational inequality is shown and an existence theorem for sa...
In this paper we investigate generalized bi quasi variational inequalities in locally convex topological vector spaces. Motivated and inspired by the recent research work in this field,we establish several existence t...
Taking advantage of result in [1], this paper studied generalized quasi variational inequalities on paracompact sets, unified and extended corresponding results in [4-6].