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

Youssef Errai | Zendy; El Miloudi Marhrani | Zendy; Mohamed Aamri | Zendy

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

Author(s) -

Youssef Errai,

El Miloudi Marhrani,

Mohamed Aamri

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/9992783

Subject(s) - mathematics , metric space , contraction (grammar) , type (biology) , generalization , fixed point , completeness (order theory) , hardy space , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , medicine , ecology , biology

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.

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