Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems
Articles
Iram Iqbal
University of Sargodha
Nawab Hussain
King Abdulaziz University, Saudi Arabia
Published 2019-04-23
https://doi.org/10.15388/NA.2019.3.6
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Keywords

variational principle
T-orbitally lower semicontinuous function
fixed points
minimization problem

How to Cite

Iqbal, I. and Hussain, N. (2019) “Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems”, Nonlinear Analysis: Modelling and Control, 24(3), pp. 407–432. doi:10.15388/NA.2019.3.6.

Abstract

The aim of the present paper is to establish a variational principle in metric spaces without assumption of completeness when the involved function is not lower semicontinuous. As consequences, we derive many fixed point results, nonconvex minimization theorem, a nonconvex minimax theorem, a nonconvex equilibrium theorem in noncomplete metric spaces. Examples are also given to illustrate and to show that obtained results are proper generalizations.

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