Browsing by Author "Rakocevic, Vladimir"

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Citation - WoS: 5
Advances on Fixed Point Results on Partial Metric Spaces
(Springer international Publishing Ag, 2019) Karapinar, Erdal; Tas, Kenan; Rakocevic, Vladimir
[No Abstract Available]
Citation - WoS: 28
Citation - Scopus: 33
Ciric Type Nonunique Fixed Point Theorems on b-metric Spaces
(Univ Nis, Fac Sci Math, 2017) Alsulami, Hamed H.; Karapinar, Erdal; Rakocevic, Vladimir
In this paper, inspired the very interesting results of Ciric [20], we investigate the existing non-unique fixed points of certain operators in the context of b-metric spaces. Our main results unify and cover several existing results on the topic in the literature.
Citation - WoS: 5
Citation - Scopus: 14
Existence of a Solution of Integral Equations Via Fixed Point Theorem
(Springeropen, 2013) Gulyaz, Selma; Karapinar, Erdal; Rakocevic, Vladimir; Salimi, Peyman
In this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1) where T > 0, f : [0, T] x R -> R and G : [0, T] x [0, T] -> [0, infinity) are continuous functions. For this purpose, we also obtain some auxiliary fixed point results which generalize, improve and unify some fixed point theorems in the literature.
Citation - WoS: 3
Citation - Scopus: 7
Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces
(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, Vladimir
We introduce the notions of (alpha - phi - psi)-weaker Meir-Keeler contractive mappings and (alpha - phi)- stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literature.
Citation - WoS: 4
Citation - Scopus: 5
Fixed Point Results for Admissible z-contractions
(House Book Science-casa Cartii Stiinta, 2018) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, Vladimir
In this paper, we present some fixed point results in the setting of a complete metric spaces by defining a new contractive condition via admissible mapping embedded in simulation function.
Citation - WoS: 15
Fixed Point Results for Various Α-Admissible Contractive Mappings on Metric-Like Spaces
(Hindawi Ltd, 2014) Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, Vladimir
We establish some fixed point theorems for alpha-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type alpha-phi-contractive self-mapping.. defined on a metric- like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
Citation - WoS: 27
Citation - Scopus: 29
Meir-Keeler Type Contractions on Modular Metric Spaces
(Univ Nis, Fac Sci Math, 2018) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Rakocevic, Vladimir
In this paper we introduce contraction mappings of Meir-Keeler types on modular metric spaces and investigate the existence and uniqueness of their fixed points. We give an example which demonstrates our theoretical results.
Citation - WoS: 7
Citation - Scopus: 9
On Cyclic Generalized Weakly c-contractions on Partial Metric Spaces
(Hindawi Ltd, 2013) Karapinar, Erdal; Rakocevic, Vladimir
We give new results of a cyclic generalized weakly C-contraction in partial metric space. The results of this paper extend, generalize, and improve some fixed point theorems in the literature.
Citation - WoS: 6
Citation - Scopus: 10
On Quasi-Contraction Mappings of Ciric and Fisher Type Via ω-distance
(Natl inquiry Services Centre Pty Ltd, 2019) Darko, Kocev; Karapinar, Erdal; Rakocevic, Vladimir
Kada, Suzuki, and Takahashi introduced and studies the concept of omega- distance in fixed point theory. In this paper, we generalize and unify Ciric' and Fisher fixed points results for quasi-contractions on metric space to omega-distance on complete metric spaces. We also extend some results of Kada, Suzuki and Takahashi, and Suzuki. Our methods of proofs are new and even simpler than the corresponding methods in metric spaces.
Citation - WoS: 13
Citation - Scopus: 11
Some Fixed Point Results on Quasi-b-metric-like Spaces
(Springer international Publishing Ag, 2015) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, Vladimir
In this paper, we investigate the existence and uniqueness of a fixed point of certain operators in the setting of complete quasi-b-metric-like spaces via admissible mappings. Our results improve, extend, and unify several well-known existence results.