Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 2Citation - Scopus: 1Coupled Common Fixed Point Results Involving (φ,ψ)-Contractions in Ordered Generalized Metric Spaces With Application To Integral Equations(Springeropen, 2013) Tas, Kenan; Gupta, Neetu; Jain, ManishWe establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying -contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given. MSC: 54H10, 54H25.Article Citation - WoS: 16Citation - Scopus: 8Coupled Common Fixed Point Results Involving a (φ,ψ)-Contractive Condition for Mixed G-Monotone Operators in Partially Ordered Metric Spaces(Springeropen, 2012) Tas, Kenan; Kumar, Sanjay; Gupta, Neetu; Jain, ManishIn the setting of partially ordered metric spaces, using the notion of compatible mappings, we establish the existence and uniqueness of coupled common fixed points involving a (phi,psi)-contractive condition for mixed g-monotone operators. Our results extend and generalize the well- known results of Berinde (Nonlinear Anal. TMA 74: 7347-7355, 2011; Nonlinear Anal. TMA 75:3218-3228, 2012) and weaken the contractive conditions involved in the results of Alotaibi et al. (Fixed Point Theory Appl. 2011: 44, 2011), Bhaskar et al. (Nonlinear Anal. TMA 65:1379-1393, 2006), and Luong et al. (Nonlinear Anal. TMA 74:983-992, 2011). The effectiveness of the presented work is validated with the help of suitable examples.Article Citation - WoS: 14Citation - Scopus: 25On Coupled Fixed Point Theorems on Partially Ordered G-Metric Spaces(Springeropen, 2012) Karapinar, Erdal; Kaymakcalan, Billur; Tas, KenanIn this manuscript, we extend, generalize and enrich some recent coupled fixed point theorems in the framework of partially ordered G-metric spaces in a way that is essentially more natural.Article Citation - WoS: 4Citation - Scopus: 5Nabla Discrete Fractional Gruss Type Inequality(Springeropen, 2014) Peterson, Allan C.; Tas, Kenan; Guvenilir, A. Feza; Kaymakcalan, BillurProperties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Gruss type inequality for the nabla fractional case. An example of our main result is given.Article Citation - WoS: 3Citation - Scopus: 2An Original Coupled Coincidence Point Result for a Pair of Mappings Without Mmp(Springeropen, 2014) Tas, Kenan; Chandok, SumitThe purpose of this paper is to establish a coupled coincidence point theorem for a pair of mappings without MMP (mixed monotone property) in metric spaces endowed with partial order, which is not an immediate consequence of a well-known theorem in the literature. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend some of the results of Bhaskar and Lakshmikantham (Nonlinear Anal. 65: 1379-1393, 2006), Choudhury, Metiya and Kundu (Ann. Univ. Ferrara 57:1-16, 2011), Harjani, Lopez and Sadarangani (Nonlinear Anal. 74:1749-1760, 2011) and of Luong and Thuan (Bull. Math. Anal. Appl. 2:16-24, 2010) for the mappings having no MMP. We introduce an example that there exists a common coupled fixed point of the mappings g and F such that F does not satisfy the g-mixed monotone property, and also g and F do not commute.Article Citation - WoS: 8Citation - Scopus: 9Triple Fixed Point Theorems Via Α-Series in Partially Ordered Metric Spaces(Springeropen, 2014) Tas, Kenan; Sihag, Vizender; Kumar, Amit; Vats, Ramesh KumarThis manuscript has two aims: first we extend the definitions of compatibility and weakly reciprocally continuity, for a trivariate mapping F and a self-mapping g akin to a compatible mapping as introduced by Choudhary and Kundu (Nonlinear Anal. 73:2524-2531, 2010) for a bivariate mapping F and a self-mapping g. Further, using these definitions we establish tripled coincidence and fixed point results by applying the new concept of an alpha-series for sequence of mappings, introduced by Sihag et al. (Quaest. Math. 37:1-6, 2014), in the setting of partially ordered metric spaces.