Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2013; 50(1): 95-109

Printed January 1, 2013

https://doi.org/10.4134/JKMS.2013.50.1.95

Copyright © The Korean Mathematical Society.

Fixed points and variational principle with applications to equilibrium problems on cone metric spaces

Jong-Sook Bae and Seong-Hoon Cho

Moyngji University, Hanseo University

Abstract

The aim of this paper is to establish variational principle on cone metric spaces and to give some existence theorems of solutions for equilibrium problems on cone metric spaces. We give some equivalences of an existence theorem of solutions for equilibrium problems on cone metric spaces.

Keywords: variational principle, equilibrium problem, upper semi-conti\-nuous, cone metric space

MSC numbers: 47H10, 54H25