Title | ||
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Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces. |
Abstract | ||
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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 |
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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. Shatanawi | 1 | 34 | 5.10 |
Bessem Samet | 2 | 82 | 19.90 |
Mujahid Abbas | 3 | 125 | 29.50 |