Generalized of Ekeland’s Variational Principle with Connections with Fixed Point Theory

Vol-3 | Issue-09 | September 2018 | Published Online: 07 September 2018    PDF ( 353 KB )
Author(s)
Saurav Suman 1; Dr. Bijay Kumar Singh 2

1Research Scholar, Department of Mathematics, V.K.S. University, Ara

2Associate Professor, HOD P. G. Department of Mathematics, H.D. Jain College, Ara

Abstract

In this paper, a few augmentations of the Ekeland variational guideline in metric spaces are given for a summed-up pseudo separation. As an application we acquire Caristi's fixed point hypothesis. At that point, by utilizing this outcome, we set up some fixed point hypotheses for set-esteemed contractive mappings.

Keywords
Variational principle, Caristi fixed point
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