On Some <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>w</mi> <mo>−</mo> </math>Interpolative Contractions of Suzuki-Type Mappings in Quasi-Partial b-Metric Space-Reference-Cited by-同舟云学术

On Some $w -$ Interpolative Contractions of Suzuki-Type Mappings in Quasi-Partial b-Metric Space

Published:2022-04-13 Issue: Volume:2022 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Gautam Pragati¹^ORCID,Kumar Santosh²^ORCID,Verma Swapnil¹^ORCID,Gulati Soumya¹^ORCID

Affiliation:

1. Department of Mathematics, Kamala Nehru College, Delhi University, August Kranti Marg, New Delhi 110049, India

2. Department of Mathematics, College of Natural and Applied Sciences, University of Dar Es Salaam, Dar Es Salaam, Tanzania

Abstract

In this paper, our focus is to acquaint with the Suzuki-type mappings to establish some fixed point results using the new w-interpolative approach. We present some results for interpolative contraction operators via the w-admissible maps which satisfy the Kannan, Ćirić–Reich–Rus, and Hardy–Rogers contractions in quasi-partial b-metric space. Further, the outcomes so obtained are affirmed with relevant examples.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/9158199.pdf

Reference24 articles.

1. Sur quelques points du calcul fonctionnel;M. Fréchet;Rendiconti del Circolo Matematico di Palermo,1906

2. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

3. Generalizations of caristi kirk’s theorem on partial metric spaces;E. Karapinar;Fixed Point Theory and Applications,2011

4. Contraction mappings in b-metric spaces;S. Czerwik;Acta Mathematica et Informatica Universitatis Ostraviensis,2011

5. Topological structure of quasi-partial b-metric spaces;P. Gautam;International Journal of Pure and Applied Mathematics,2016

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