- Proceedings of International Mathematical Sciences
- Vol: 2 Issue: 1
- Common fixed points of Geraghty-Suzuki type contraction maps in b-metric spaces
Common fixed points of Geraghty-Suzuki type contraction maps in b-metric spaces
Authors : Dasari Ratna Babu
Pages : 26-47
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Publication Date : 2020-06-30
Article Type : Research
Abstract :In this paper, we prove the existence and uniqueness of common fixed points for two pairs of selfmaps satisfying a Geraghty-Suzuki type contraction condition in which one pair is compatible, b-continous and the another one is weakly compatible in complete b-metric spaces. Further, we prove the same with different hypotheses on two pairs of selfmaps which satisfy b-(E.A)-property. We draw some corollaries from our results and provide examples in support of our resultsKeywords : Common fixed points, b-metric space, weakly compatible maps, b-(E.A)-property