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Citation - Scopus: 7
On Α*-Ψ Multi-Valued Operators in B-Metric Spaces and Applications
(Natural Sciences Publishing Co., 2015) Bota,M.-F.; Ilea,V.; Karapinar,E.; Mleşniţe,O.
In this paper, we will prove some existence and uniqueness theorems for α*-ψ contractive type operators defined over bmetric spaces. In particular, we will provide results related to Ulam-Hyers stability, well-posedness and limit shadowing. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.We will also give examples to illustrate the applications our results. © 2015 NSP Natural Sciences Publishing Cor.
Citation - Scopus: 22
On Ekeland's Variational Principle in Partial Metric Spaces
(Natural Sciences Publishing Co., 2015) Aydi,H.; Karapinar,E.; Vetro,C.
In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types. © 2015 NSP.