Open Access
2012 EXISTENCE OF EQUILIBRIA IN COMPLETE METRIC SPACES
A. Amini-Harandi, Q. H. Ansari, A. P. Farajzadeh
Taiwanese J. Math. 16(2): 777-785 (2012). DOI: 10.11650/twjm/1500406615
Abstract

In this paper, we establish equilibrium version of Ekeland's variational principle without assuming any kind of semicontinuity of the bifunction involved in the formulation of the principle. By using such principle, we derive some existence results for a solution of equilibrium problems with or without compactness assumption on the underlying set. A coercivity condition is introduced to obtain a solution of an equilibrium problem for noncompact case. Our results extend and improve several known results in the literature.

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Copyright © 2012 The Mathematical Society of the Republic of China
A. Amini-Harandi, Q. H. Ansari, and A. P. Farajzadeh "EXISTENCE OF EQUILIBRIA IN COMPLETE METRIC SPACES," Taiwanese Journal of Mathematics 16(2), 777-785, (2012). https://doi.org/10.11650/twjm/1500406615
Published: 2012
Vol.16 • No. 2 • 2012
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