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Citation - WoS: 6
Citation - Scopus: 7
A Discussion on a Pata Type Contraction Via Iterate at a Point
(Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Rakocevic, Vladimir; Karapinar, Erdal
In this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.
Citation - WoS: 2
Citation - Scopus: 3
Revisiting the Meir-Keeler Contraction Via Simulation Function
(Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Kumam, Poom; Karapinar, Erdal
In this paper, we aim to obtain a fixed point theorem which guarantee the existence of a fixed point for both the continuous and discontinuous mappings that fullfill certain conditions in the context of metric space. We also consider some examples to illustrate our results.
Citation - WoS: 4
Citation - Scopus: 4
Fixed Point Results Via Simulation Functions in the Context of Quasi-Metric Space
(Univ Nis, Fac Sci Math, 2018) Fulga, Andreea; Tas, Aysegul
In this paper, we investigate the existing non-unique fixed points of certain mappings, via simulation functions in the context of quasi-metric space. Our main results generalize and unify several existing results on the topic in the literature.

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