Interpolative Reich–Rus–?iri? and Hardy–Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results

Vishnu Narayan Mishra, Luis Manuel Sánchez Ruiz, Pragati Gautam and Swapnil Verma
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Vishnu Narayan Mishra: Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484887, India
Luis Manuel Sánchez Ruiz: ETSID-Departamento de Matematica Aplicada & CITG, Universitat Politecnica de Valencia, E-46022 Valencia, Spain
Pragati Gautam: Department of Mathematics, Kamala Nehru College (University of Delhi), August Kranti Marg, New Delhi 110049, India
Swapnil Verma: Department of Mathematics, Kamala Nehru College (University of Delhi), August Kranti Marg, New Delhi 110049, India

Mathematics, 2020, vol. 8, issue 9, 1-11

Abstract: The aim of this paper was to obtain common fixed point results by using an interpolative contraction condition given by Karapinar in the setting of complete metric space. Here in this paper, we have redefined the Reich–Rus–?iri? type contraction and Hardy–Rogers type contraction in the framework of quasi-partial b-metric space and proved the corresponding common fixed point theorem by adopting the notion of interpolation. The results are further validated with the application based on them.

Keywords: quasi-partial b-metric space; common fixed point; interpolation; Reich–Rus–?iri? contraction; Hardy–Rogers contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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