Article ID: MTJPAM-D-21-00017

Title: Nadler’s Fixed Point Theorem for Set-Valued Mappings in b-Metric Spaces


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00017; Volume 4 / Issue 3 / Year 2022 (Special Issue), Pages 131-138

Document Type: Research Paper

Author(s): Stefan Czerwik a

aInstitute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Received: 23 January 2021, Accepted: 7 February 2021, Published: 18 April 2022.

Corresponding Author: Stefan Czerwik (Email address: steczerw@gmail.com)

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Abstract

In the paper we present the fixed point theorem for set-valued contraction mappings in generalized b-metric spaces, which generalizes the famous Nadler’s fixed point theorem for such mappings in metric spaces. Also some local fixed point theorems for such multi-valued mappings are presented.

Keywords: Metric space, b-metric space, Generalized b-metric space, Fixed point

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