Browsing by Author "Jain, M."

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Citation - WoS: 7
Citation - Scopus: 7
Coupled 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.; 4971; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In 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.
Citation - Scopus: 2
Ordered Generalized Φ−contraction in Ordered Fuzzy Metric Spaces With an Application in Dynamic Programming
(MUK Publications and Distribution, 2021) Jain, M.; Taş, Kenan; Tomar, A.; Joshi, M.; Tas, K.; 4971; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The common fixed point for ordered generalized φ−contraction in the environment of an ordered fuzzy metric space is determined under min-imum possible conditions. A result in ordered metric space is also obtained. The work is supported with a suitable example. Further, as an application, the utility of the present work is shown by solving functional equations in dynamic programming, which are beneficial in mathematical optimization as well as computer programming. © 2021, MUK Publications and Distribution. All rights reserved.