Weak partial b-metric spaces and Nadler's theorem

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Kanwal T., Hussain A., Kumam P., Savas E.

Publisher: MDPI

Publication year: 2019

Journal: Mathematics (2227-7390)

Volume number: 7

Issue number: 4

ISSN: 2227-7390

eISSN: 2227-7390

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85066441605&doi=10.3390%2fmath7040332&partnerID=40&md5=6f0ace238819bdec57b25e8045009a2f

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this paper is to define the notions of weak partial b-metric spaces and weak partial Hausdorff b-metric spaces along with the topology of weak partial b-metric space. Moreover, we present a generalization of Nadler's theorem by using weak partial Hausdorff b-metric spaces in the context of a weak partial b-metric space. We present a non-trivial example which show the validity of our result and an application to nonlinear Volterra integral inclusion for the applicability purpose. ฉ 2019 by the authors.

Keywords

Nadler's theorem