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Citation - WoS: 27
Citation - Scopus: 29
On the Weak Form of Ekeland's Variational Principle in Quasi-Metric Spaces
(Elsevier, 2015) Karapinar, Erdal; Romaguera, Salvador
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.
Citation - WoS: 12
Citation - Scopus: 6
A note on 'Modified proof of Caristi's fixed point theorem on partial metric spaces, Journal of Inequalities and Applications 2013, 2013:210'
(Springeropen, 2013) Aydi, Hassen; Karapinar, Erdal; Kumam, Poom
In this note, we emphasize that the proofs and statements of the main results of the paper 'Modified proof of Caristi's fixed point theorem on partial metric spaces' (Journal of Inequalities and Applications 2013, 2013:210) do not have any utility to use the partial metric. Hence, it has no contribution to either partial metric theory or Caristi-type fixed point problems.