Weak Partial b-Metric Spaces and Nadler’s Theorem
Govt. Degree College for Women Malakwal, Malakwal, Mandi Bahuaddin 50400, Pakistan
Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan
Center of Excellence in Theoretical and Computational Science (TaCS-CoE) and KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Mathematics, Usak University, Usak 64000, Turkey
Author to whom correspondence should be addressed.
Received: 4 March 2019 / Revised: 29 March 2019 / Accepted: 1 April 2019 / Published: 5 April 2019
PDF [366 KB, uploaded 5 April 2019]
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.
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MDPI and ACS Style
Kanwal, T.; Hussain, A.; Kumam, P.; Savas, E. Weak Partial b-Metric Spaces and Nadler’s Theorem. Mathematics 2019, 7, 332.
Kanwal T, Hussain A, Kumam P, Savas E. Weak Partial b-Metric Spaces and Nadler’s Theorem. Mathematics. 2019; 7(4):332.
Kanwal, Tanzeela; Hussain, Azhar; Kumam, Poom; Savas, Ekrem. 2019. "Weak Partial b-Metric Spaces and Nadler’s Theorem." Mathematics 7, no. 4: 332.
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