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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: 2
A Result on a Pata-Ciri Type Contraction at a Point
(Mdpi, 2020) Fulga, Andreea; Rakocevic, Vladimir; Karapinar, Erdal
In this manuscript, we define a new contraction mapping, Pata-Ciri type contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ciri. We proved that in a complete space, each Pata-Ciri type contraction at a point possesses a fixed point. We express an example to illustrate the observed result.
Citation - WoS: 1
Citation - Scopus: 2
A Fixed Point Theorem for a System of Pachpatte Operator Equations
(Springer Basel Ag, 2021) Ozturk, Ali; Rakocevic, Vladimir; Karapinar, Erdal
In this paper, we investigate sufficient conditions for the existence of solutions to the system {Tx=x, alpha(i)(x)=0(E), i = 1,2, ... r, where 0(E) is the zero vector of E, and alpha(i) : E -> E i = 1, 2, ... , r are mappings, T is a mapping satisfying the Pachpatte-contraction.

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