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Citation - WoS: 35
Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions
(Univ Miskolc inst Math, 2013) Karapinar, Erdal; Shatanawi, Wasfi; Tas, Kenan
We establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result.
Citation - WoS: 5
Citation - Scopus: 9
On Weakly (c, Ψ, Φ)-Contractive Mappings in Ordered Partial Metric Spaces
(Hindawi Publishing Corporation, 2012) Karapinar, Erdal; Shatanawi, Wasfi
We introduce the notion of weakly (C, psi, phi)-contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.