Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 1Citation - Scopus: 1Solving Existence Problems Via F-Contraction in Modified B-Metric Spaces(Turkic World Mathematical Soc, 2022) Karapinar, E.; Karapınar, Erdal; Sedghi, S.; Shobe, N.; MatematikIn this paper, we introduce a new abstract structure, expanded b-metric, as an natural extension of b-metric. We also define basic topological notions in expanded b -metric to able to investigate the existence of fixed point for such mappings under various F-contractive conditions. We provide example to illustrate the results presented herein.Article Citation - WoS: 12Citation - Scopus: 16Super Metric Spaces(Univ Nis, Fac Sci Math, 2022) Karapinar, Erdal; Khojasteh, FarshidThe aim of this paper is to propose a new generalization of metric space which may open a new framework. As an application, we consider the analog of Banach contraction mapping principle that works properly.Article Citation - WoS: 21Citation - Scopus: 18Recent Advances on Metric Fixed Point Theory: a Review(Ministry Communications & High Technologies Republic Azerbaijan, 2023) Karapinar, E.In this note, we underline that some of the recent metric fixed point results overlap or repeat the previously existing corresponding ones. Further, we observe that some recently published results, which we might perceive as a generalization from the first point of view, are in fact equivalent. For the clarification and clearing of the literature, this review paper claims to play a crucial role.Article Citation - WoS: 14Citation - Scopus: 10Advances on the Fixed Point Results Via Simulation Function Involving Rational Terms(Springer, 2021) Chen, Chi-Ming; Alghamdi, Maryam A.; Fulga, Andreea; Karapinar, ErdalIn this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.Article Citation - WoS: 62Citation - Scopus: 76A Survey:f-Contractions With Related Fixed Point Results(Springer Basel Ag, 2020) Fulga, Andreea; Agarwal, Ravi P.; Karapinar, ErdalIn this note, we aim to review the recent results onF-contractions, introduced by Wardowski. After examining the fixed point results for such operators, we collect the sequent results in this direction in a different setting. One of the aims of this survey is to provide a complete collection of several fixed generalizations and extensions ofF-contractions.Article Citation - WoS: 2Citation - Scopus: 2New Common Fixed Point Theorems of Greğus Type for R-Weakly Commuting Mappings in 2-Metric Spaces(Hacettepe Univ, FAC Sci, 2009) Tas, Kenan; Murthy, P.p.In this paper we extend and generalize a theorem of M.R. Singh, L. S. Singh and P.P. Murthy (Common fixed points of set valued mappings, Int. J. Math. Sci., 25 (6), 411–415, 2001) in a 2-metric space with a Gregu˘s type condition, and give some common fixed point theorems of set-valued maps in 2-metric spaces.