On the weak form of Ekeland's Variational Principle in quasi-metric spaces

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Date

2015

Authors

Karapınar, Erdal
Romaguera, Salvador

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Elsevier

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Abstract

We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) [3]. (C) 2015 Elsevier B.V. All rights reserved.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Romaguera, Salvador/0000-0001-7857-6139

Keywords

Quasi-metric space, Right K-sequentially complete, Ekeland's Variational Principle, Caristi's fixed point theorem

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25

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Q3

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Volume

184

Issue

Start Page

54

End Page

60

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