WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 16Citation - Scopus: 22Some Fixed Point Results for Tac-Type Contractive Mappings(Hindawi Ltd, 2016) Tas, Kenan; Ansari, Arslan Hojat; Chandok, SumitWe prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. Some examples are given to support our main results.Article Citation - WoS: 2A Unique Coupled Common Fixed Point Theorem for Symmetric (Φ, Ψ)-Contractive Mappings in Ordered G-Metric Spaces With Applications(Hindawi Ltd, 2013) Tas, Kenan; Jain, ManishWe establish the existence and uniqueness of coupled common fixed point for symmetric (phi, psi)-contractive mappings in the framework of ordered G-metric spaces. Present work extends, generalize, and enrich the recent results of Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contractive conditions. Our theoretical results are accompanied by suitable examples and an application to integral equations.Article Citation - WoS: 1Citation - Scopus: 3Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces(Hindawi Ltd, 2013) Kumar, Sanjay; Bhatia, S. S.; Tas, Kenan; Manro, SaurabhThis paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.Article Citation - WoS: 2Citation - Scopus: 2Invariant Approximation Results Via Common Fixed Point Theorems for Generalized Weak Contraction Maps(Hindawi Ltd, 2014) Kumar, Anil; Tas, Kenan; Rathee, SavitaA common fixed point theorem for generalized (phi,phi,L)(f,g)-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.Article Citation - WoS: 16Citation - Scopus: 19On Sumudu Transform Method in Discrete Fractional Calculus(Hindawi Ltd, 2012) Jarad, Fahd; Tas, KenanIn this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties. We obtain the discrete Sumudu transform of Taylor monomials, fractional sums, and fractional differences. We apply this transform to solve some fractional difference initial value problems.