1. Weak Partial b-Metric Spaces and Nadler's Theorem.
- Author
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Kanwal, Tanzeela, Hussain, Azhar, Kumam, Poom, and Savas, Ekrem
- Subjects
HAUSDORFF spaces ,METRIC spaces ,SPACE ,SET-valued maps ,TOPOLOGY - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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