Browsing by Author "Jain, Manish"

Now showing 1 - 5 of 5

A Unique Coupled Common Fixed Point Theorem for Symmetric (P,P) -Contractive Mappings in Ordered G -Metric Spaces With Applications
(Hindawi Ltd, 2013) Jain, Manish; Taş, Kenan; Tas, Kenan; 4971
We 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.
Coupled common fixed point results involving (Φ,Ψ)-contractions in ordered generalized metric spaces with application to integral equations
(Springeropen, 2013) Jain, Manish; Taş, Kenan; Tas, Kenan; Gupta, Neetu; 4971
We 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.
Coupled common fixed point results involving a (phi,psi)-contractive condition for mixed g-monotone operators in partially ordered metric spaces
(Springeropen, 2012) Jain, Manish; Taş, Kenan; Tas, Kenan; Kumar, Sanjay; Gupta, Neetu; 4971
In 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.
Coupled fixed point theorems for a pair of weakly compatible maps along with CLRg property in fuzzy metric spaces
(Hindawi Publishing Corporation, 2012) Jain, Manish; Taş, Kenan; Tas, Kenan; Kumar, Sanjay; Gupta, Neetu; 4971
The aim of this paper is to extend the notions of E. A. property and CLRg property for coupled mappings and use these notions to generalize the recent results of Xin-Qi Hu (2011). The main result is supported by a suitable example.
Ordered generalized φ−contraction in ordered fuzzy metric spaces with an application in dynamic programming
(2021) Taş, Kenan; Tomar, Anita; Joshi, Meena; Taş, Kenan; 4971
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.