Work

A Maximal Element Theorem inFWC-Spaces and Its Applications

Year: 2014

Type: article

Abstract: A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. Using the maximal element theorem, we develop new existence theorems of solutions to variational relation problem, generalized equilibrium problem, equilibrium problem with lower and upper bounds, and minimax problem in FWC-spaces. The results represented in this paper unify and extend some known results in the literature.

Source: The Scientific World JOURNAL

DOI: 10.1155/2014/890696

Authors: Haishu Lu, Qingwen Hu, Yulin Miao

Institutions: Jiangsu University of Technology, The University of Texas at Dallas

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $860

Funder: Ministry of Education of the People's Republic of China