Paper Info
Title
On w-compatible mappings and common coupled coincidence point in cone metric spaces.
Abstract
Recently, Abbas et al. [M. Abbas, M.A. Khan, S. Radenović, Common coupled fixed point theorems in cone metric spaces for w-compatible mapping, Applied Mathematics and Computation (2010) doi:10.1016/j.amc.2010.05.042] introduced the concept of w-compatible mappings and obtained results on coupled coincidence point for nonlinear contractive mappings in a cone metric space. In the present paper, we introduce the concept of a common coupled coincidence point of the mappings F,G:X×X→X and f:X→X and we prove some theorems for nonlinear contractive mappings in a cone metric space with a cone having nonempty interior. Our results generalize several well known comparable results in the literature.
Year
DOI
Venue
2012
10.1016/j.aml.2011.10.037
Applied Mathematics Letters
Keywords
Field
DocType
Common fixed point,Coupled coincidence fixed point,Cone metric space,Ordered sets
Ordered set,Common fixed point,Mathematical optimization,Nonlinear system,Mathematical analysis,Coincidence point,Dual cone and polar cone,Metric space,Fixed-point theorem,Mathematics,Computation
Journal
Volume
Issue
ISSN
25
6
0893-9659
Citations 
PageRank 
References 
4
0.43
13
Authors
1
Name
Order
Citations
PageRank
Wasfi A. Shatanawi1345.10