[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2012.49.6.1147

COINCIDENCE THEOREMS FOR NONCOMPACT ℜℭ-MAPS IN ABSTRACT CONVEX SPACES WITH APPLICATIONS

Yang, Ming-Ge (Department of Mathematics Luoyang Normal University)
Huang, Nan-Jing (Department of Mathematics Sichuan University)

Publication Information

Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1147-1161 More about this Journal

Abstract

In this paper, a coincidence theorem for a compact ${\Re}\mathfrak{C}$ -map is proved in an abstract convex space. Several more general coincidence theorems for noncompact ${\Re}\mathfrak{C}$ -maps are derived in abstract convex spaces. Some examples are given to illustrate our coincidence theorems. As applications, an alternative theorem concerning the existence of maximal elements, an alternative theorem concerning equilibrium problems and a minimax inequality for three functions are proved in abstract convex spaces.

Keywords

coincidence theorem; alternative theorem; minimax inequality; abstract convex space; ${\Re}\mathfrak{C}$ -map;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)

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