Some fixed points in complete extended b-metric spaces for single-valued and multi-valued mappings

AIMS Mathematics 2026 Open access

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Authors: Doha Adel Abulhamil
DOI: 10.3934/math.2026371
Cited by: 1
References: 17

Abstract

In this paper, I prove the existence and uniqueness of fixed points in complete extended $ b $-metric spaces for Kannan and Chatterjea contractions in a single-valued setting. We also prove the existence of fixed points in complete extended $ b $-metric spaces for the existence of fixed points in complete extended $ b $-metric spaces for Nadler and Kannan-type contractions in a multi-valued setting.

Fields of Study & Subjects

Fixed Point Theorems Analysis Optimization and Variational Analysis Fuzzy and Soft Set Theory

Publication details

Journal / source
AIMS Mathematics
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
11
Issue
4
Pages
8988–9007
Publication date
1 January 2026