Open AccessNew Approach to Find Fixed Point in Extended b-metric Space
Author(s) -
Surjeet Singh Chauhan Gonder,
Kanika Rana
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2089/1/012042
Subject(s) - fixed point , fixed point theorem , metric space , point (geometry) , metric (unit) , mathematics , computer science , operator (biology) , graphics , space (punctuation) , discrete mathematics , pure mathematics , mathematical analysis , computer graphics (images) , geometry , biochemistry , operating system , operations management , chemistry , repressor , transcription factor , economics , gene
A fixed point for a suitable map or operator is identical to the presence of a solution to a theoretical or real-world problem. As a result, fixed points are crucial in many fields of mathematics, science, and engineering. In this paper, we establish new fixed point results on self-mappings in setting of extended b-metric space which can be extended further to give application in real world such as in image processing, computer graphics, Nash equilibrium and many more. Our results extends the corresponding results of Mukheimer et. al. [Aimal Mukheimer, Nabil Mlaiki, Kamal Abodayeh, Wasfi Shantanawi, Non Linear Analysis: Modeling and Control, 24(6), 870-883, 2019.] and Kamran et. al. [Tayyab Kamran, Maria Samreen, Qurrat UL Ain, Mathematics, 5(19), 2017, 7 pages.]. Examples are also mentioned to check the authenticity of our results. A solution to Fredholm integral equation is also demonstrated as an application.