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Shatanawi, Wasfi; Samet, Bessem; Abbas, Mujahid

Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces. (English) Zbl 1255.54027

Math. Comput. Modelling 55, No. 3-4, 680-687 (2012).
Summary: 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 T. G. Bhaskar and V. Lakshmikantham [Nonlinear Anal., Theory Methods Appl. 65, No. 7, A, 1379–1393 (2006; Zbl 1106.47047)] and J. Harjani, B. López and K. Sadarangani [Nonlinear Anal., Theory Methods Appl. Ser. A, Theory Methods 74, No. 5, 1749-1760 (2011; Zbl 1218.54040)].

Cited in 2 Reviews
Cited in 77 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
54E35 Metric spaces, metrizability

Keywords:

coupled fixed point; mixed monotone property; partial metric space; ordered set

Citations:

Zbl 1106.47047; Zbl 1218.54040
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\textit{W. Shatanawi} et al., Math. Comput. Modelling 55, No. 3--4, 680--687 (2012; Zbl 1255.54027)
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References:

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