Title
Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces.
Abstract
We establish coupled fixed point theorems for mixed monotone mappings satisfying nonlinear contraction involving two altering distance functions in ordered partial metric spaces. Presented theorems extend and generalize the results of Bhaskar and Lakshmikantham [T.G. Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006) 1379–1393] and Harjani et al. [J. Harjani, B. López and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749–1760].
Year
DOI
Venue
2012
10.1016/j.mcm.2011.08.042
Mathematical and Computer Modelling
Keywords
Field
DocType
Coupled fixed point,Mixed monotone property,Partial metric space,Ordered set
Ordered set,Discrete mathematics,Nonlinear system,Mathematical analysis,Integral equation,Operator (computer programming),Metric space,Monotone polygon,Mathematics,Fixed-point theorem
Journal
Volume
Issue
ISSN
55
3
0895-7177
Citations 
PageRank 
References 
8
0.63
15
Authors
3
Name
Order
Citations
PageRank
Wasfi A. Shatanawi1345.10
Bessem Samet28219.90
Mujahid Abbas312529.50