On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
HYBRID
Green Open Access
Yes
OpenAIRE Downloads
75
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40
Publicly Funded
No
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Average
Influence
Top 10%
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Top 10%
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
Citation
WoS Q
Q3
Scopus Q
OpenCitations Citation Count
21
Source
Topology and its Applications
Volume
184
Issue
Start Page
54
End Page
60
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CrossRef : 4
Scopus : 29
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