Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction

Youssef Errai, El Miloudi Marhrani, Mohamed Aamri and Naeem Saleem

Journal of Mathematics, 2021, vol. 2021, 1-12

Abstract: In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of g-interpolative Hardy–Rogers type contractions in b-metric spaces to prove the existence of the coincidence point. Lastly, we add a third concept, interpolative weakly contractive mapping type, Ćirić–Reich–Rus, to show the existence of fixed points. These results are a generalization of previous results, which we have reinforced with examples.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9992783

DOI: 10.1155/2021/9992783

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