doi:

DOI: 10.3724/SP.J.1160.2013.00306

Acta Analysis Functionalis Applicata (应用泛函分析学报) 2013/15:4 PP.306-316

Coupled Coincidence Point Theorems for α-ψ-Contractive Type Mappings in G-Metric Spaces


Abstract:
The aim of this article is to obtain some coupled coincidence point results for nonlinear contractive mappings F:X×X→X,which satisfies the mixed-g-monotone property in partially ordered G-metric spaces.The results is obtained in this paper extend the corresponding results in recent literature by weakening the involved contractive condition.

Key words:couple coincidence point,mixed-g-monotone property,(a)-g-admissible

ReleaseDate:2015-04-21 14:22:07



1 Mustafa Z,Sims B. A new approach to generalized metric spaces[J].Journal of Nonlinear and Convex Analysis,2006,(02):289-297.

2 Bhaskar T G,Lakshmikantham V. Fixed point theorems in partially ordered metric spaces and applications[J].Nonlinear Analysis:Theory Methods and Applications,2006.1379-1393.

3 Aydi H,Damjanovic B,Samet B. Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces[J].Mathematical and Computer Modelling,2011.2443-2450.

4 Aydi H,Postolache M,Shatanawi W. Coupled fixed point results for (Ψ,Φ)-weakly contractive mappings in ordered G-metric spaces[J].Computers Mathematics with Applications,2012,(01):298-309.

5 Mustafa Z,Aydi H,Karapinar E. On common fixed points in G-metric spaces using (E.A) property[J].Computers and Mathmatics with Applications,2012,(06):1944-1956.

6 Luong N V,Thuan N X. Coupled fixed point theorems in partially ordered G-metric spaces[J].Mathematical and Computputer Modelling,2012.1601-1609.

7 Guo D J,Lakskmikantham V. Coupled fixed points of nonlinear operators with applications[J].Nonlinear Analysis TMA,1987,(05):623-632.

8 Lakshmikantham V,Ciric Lj B. Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces[J].Nonlinear Analysis:Theory Methods and Applications,2009.4341-4349.

9 Nashine H K,Shatanawi W. Coupled common fixed point theorems for pair of commuting mappings in partially ordered complete metric spaces[J].Computers and Mathmatics with Applications,2011.1984-1993.

10 Samet B. Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces[J].Nonlinear Analysis:Theory Methods and Applications,2010.4508-4517.

11 Nashine H K,Kadelburg Z,Radenovic S. Coupled common fixed point theorems for w*-compatible mappings in ordered cone metric spaces[J].Applied Mathematics and Computation,2012.5422-5432.

12 Samet B,Vetro C,Vetro P. Fixed point theorems for α-Ψ-contractive type mappings[J].Nonlinear Analysis TMA,2012.2154-2165.

13 Mursaleen M,Mohiuddine S A,Agarwal R. Coupled fixed point theorems for α-Ψ-contractive type mappings in partially ordered metric spaces[J].Fixed point Theory and Applications,2012.228.

14 Choudhury B S,Maity P. Coupled fixed point results in generalized metric spaces[J].Mathematical and Computputer Modelling,2011.73-79.

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