Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
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Namana Seshagiri Rao1, Karusala Kalyani2, Belay Mitiku3
1Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, Ethiopia. seshu.namana@gmail.com.
Objectives:
In this paper we present some fixed point theorems for self mappings satisfying generalized [Formula: see text]-weak contraction condition in partially ordered complete b-metric spaces. The results presented over here generalize and extend some existing results in the literature. Finally, we illustrate two examples to support our results.
Result:
We obtained a unique fixed point of a self mapping satisfying certain contraction condition which is involving an auxiliary function. Also, the results are presented for the existence of a common fixed point and a coincidence point for generalized [Formula: see text]-weak contraction mappings in partially ordered complete b-metric space.
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