Browsing by Author "Gupta, Neetu"

Now showing 1 - 3 of 3

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.