Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 7Citation - Scopus: 7Coupled Fixed Point Theorems for Generalized Symmetric Contractions in Partially Ordered Metric Spaces and Applications(Eudoxus Press, Llc, 2014) Jain, M.; Taş, Kenan; Tas, K.; Rhoades, B. E.; Gupta, N.; MatematikIn the setting of partially ordered metric spaces, we introduce the notion of generalized symmetric g-Meir-Keeler type contractions and use the notion to establish the existence and uniqueness of coupled common fixed points. Our notion extends the notion of generalized symmetric Meir-Keeler contractions given by Berinde et. al. [V. Berinde, and M. Pacurar, Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces, Fixed Point Theory and Appl., 2012, 2012:115, doi:10.1186/1687-1812-2012-115] to a pair of mappings. We also give some applications of our main results.Article Citation - WoS: 3Citation - Scopus: 2Solving a Fredholm Integral Equation Via Coupled Fixed Point on Bicomplex Partial Metric Space(Amer inst Mathematical Sciences-aims, 2022) Gnanaprakasam, Arul Joseph; Javed, Khalil; Arshad, Muhammad; Jarad, Fahd; Mani, GunaseelanIn this paper, we obtain some coupled fixed point theorems on a bicomplex partial metric space. An example and an application to support our result are presented.Article Citation - WoS: 8Citation - Scopus: 8Coupled Fixed Point Theorems on C*-Algebra Valued Bipolar Metric Spaces(Amer inst Mathematical Sciences-aims, 2022) Gnanaprakasam, Arul Joseph; Ul Haq, Absar; Baloch, Imran Abbas; Jarad, Fahd; Mani, Gunaseelan; Haq, Absar UlIn the present paper, we introduce the notion of a C*-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result is presented.Book Part Citation - Scopus: 4Perov-Type Contractions(Springer, 2022) Karapınar, E.; Rakočević, V.; Yeşilkaya, S.S.; Cvetković, M.Article Citation - WoS: 10Citation - Scopus: 11Fixed Point Results in Ε-Chainable Complete B-Metric Spaces(House Book Science-casa Cartii Stiinta, 2020) Karapinar, E.; Petrusel, G.; Chifu, C.The purpose of this paper is to present some fixed point results in epsilon-chainable complete b-metric spaces that are inspired from famous result of Edelstein, published in 1961.Article Coupled Fixed Points in Complex Partial Metric Spaces(int Scientific Research Publications, 2022) Khan, M. S.; Singh, Y. Mahendra; Tas, Kenan; Gunaseelan, M.In this paper, we obtain coupled fixed point theorems in complex partial metric spaces under the different contractive conditions. Examples are provided to support our results.Article Citation - Scopus: 3Applications and Common Coupled Fixed Point Results in Ordered Partial Metric Spaces(Springer International Publishing, 2017) Rao, K.; Kishore, G.; Tas, K.; Satyanaraya, S.; Ram Prasad, D.In this paper, we obtain a unique common coupled fixed point theorem by using (ψ, α, β) -contraction in ordered partial metric spaces. We give an application to integral equations as well as homotopy theory. Also we furnish an example which supports our theorem. © 2017, The Author(s).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: 62Citation - Scopus: 82Meir-Keeler Α-Contractive Fixed and Common Fixed Point Theorems(Springer international Publishing Ag, 2013) Abdeljawad, ThabetGeneralized Meir-Keeler alpha-contractive functions and pairs are introduced and their fixed and common fixed point theorems are obtained. Also, the so-called generalized Meir-Keeler alpha-f-contractive maps commuting with f are introduced and their coincidence and common fixed point theorems are investigated. New sufficient conditions different from those in (Samet et al. in Nonlinear Anal. 75:2154-2165, 2012) are used. An application to the coupled fixed point is established as well. An example is given to show that the alpha-Meir-Keeler generalization is real. AMS Subject Classification: 47H10, 54H25.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.