On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces
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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, Ekeland’s Variational Principle, Caristi’s fixed point theorem, Quasi-metric space, MATEMATICA APLICADA, Right K-sequentially complete, right K-sequentially complete, Fixed-point and coincidence theorems (topological aspects), quasi-metric space, Ekeland's variational principle, Variational principles in infinite-dimensional spaces, Complete metric spaces, Caristi's fixed point theorem
Fields of Science
0101 mathematics, 01 natural sciences
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WoS Q
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OpenCitations Citation Count
21
Volume
184
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Start Page
54
End Page
60
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