Some fixed point results of generalized -contractive mappings in ordered b-metric spaces
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Published on: August 30, 2013
Belay Mitiku1, Kalyani Karusala2, Seshagiri Rao Namana1
1Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, Ethiopia.
Objectives:
The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results.
Result:
The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.
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