A fixed point result of weakly contractive operators in generalized metric spaces

AIMS Mathematics

article

Mohammed Shehu Shagari¹  Faryad Ali²  Trad Alotaibi³  Shazia Kanwal⁴  Akbar Azam⁵ 

[1] Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University;Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University;Department of Mathematics and Statistics, Taif University;Department of Mathematics, Government College University, Faisalabad;Department of Mathematics, Grand Asian University

关键词: fixed point;    generalized metric space;    modular space;    weakly contractive;   

DOI  :  10.3934/math.2022969

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this note, by using basic properties of the recently introduced concepts of generalized metric spaces, new conditions for the existence of a fixed point for weakly type contractive operator which sends a closed subset into the ambient space under consideration are examined. Our obtained result extends and unifies its corresponding ideas in metric and modular spaces. A comparative non-trivial example is provided to show the novelty and preeminence of our proposed notion.

【 授权许可】

CC BY