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2008 EXISTENCE OF VECTOR EQUILIBRIA VIA EKELAND’S VARIATIONAL PRINCIPLE
Yousuke Aray, Kenji Kimura, Tamaki Tanaka
Taiwanese J. Math. 12(8): 1991-2000 (2008). DOI: 10.11650/twjm/1500405131

Abstract

In this paper, we prove Ekeland’s type of variational principle for a vector equilibrium problem, and present a Caristi-Kirk type fixed point theorem and an existence result for vector equilibrium solution.

Citation

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Yousuke Aray. Kenji Kimura. Tamaki Tanaka. "EXISTENCE OF VECTOR EQUILIBRIA VIA EKELAND’S VARIATIONAL PRINCIPLE." Taiwanese J. Math. 12 (8) 1991 - 2000, 2008. https://doi.org/10.11650/twjm/1500405131

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1172.65032
MathSciNet: MR2449958
Digital Object Identifier: 10.11650/twjm/1500405131

Subjects:
Primary: 65K10
Secondary: 58E17 , 90C29

Keywords: approximate solution , Ekeland's variational principle , vector equilibrium problem , vector-valued function

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 8 • 2008
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