Browsing by Author "Rakocevic, Vladimir"

Now showing 1 - 5 of 5

Citation - WoS: 5
Citation - Scopus: 6
A discussion on a pata type contraction via iterate at a point
(Univ Nis, Fac Sci Math, 2020) Karapinar, Erdal; Karapınar, Erdal; Fulga, Andreea; Rakocevic, Vladimir; 19184; Matematik
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: 1
Citation - Scopus: 2
A fixed point theorem for a system of Pachpatte operator equations
(Springer Basel Ag, 2021) Karapinar, Erdal; Karapınar, Erdal; Ozturk, Ali; Rakocevic, Vladimir; 19184; Matematik
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.
Citation - WoS: 1
Citation - Scopus: 1
A Result on a Pata-Ciri Type Contraction at a Point
(Mdpi, 2020) Karapinar, Erdal; Karapınar, Erdal; Fulga, Andreea; Rakocevic, Vladimir; 19184; Matematik
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: 4
Advances on Fixed Point Results on Partial Metric Spaces
(Springer international Publishing Ag, 2019) Karapınar, Erdal; Karapinar, Erdal; Tas, Kenan; Taş, Kenan; Rakocevic, Vladimir; 1918; 4971; Matematik
Citation - WoS: 9
Citation - Scopus: 11
On surrounding quasi-contractions on non-triangular metric spaces
(de Gruyter Poland Sp Z O O, 2020) Karapinar, Erdal; Karapınar, Erdal; Khojasteh, Farshid; Mitrovic, Zoran D.; Rakocevic, Vladimir; 19184; Matematik
The aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As applications of our theorems, we deduce certain well-known results in b-metric spaces as corollaries.