Abstract
In this paper, we introduce the structure of extended cone b-metric-like spaces over Banach algebra as a generalization of cone b-metric-like spaces over Banach algebra. In this generalized space we define the notion of generalized Lipschitz mappings in the setup of extended cone b-metric-like spaces over Banach algebra and investigated some fixed point results. We also provide examples to illustrate the results presented herein. Finally, as an application of our main result, we examine the existence and uniqueness of solution for a Fredholm integral equation.
Highlights
Fixed point theory is a well furnished concept and plays a fundamental role in analysis and topology
The purpose of this paper is to present the notion of an extended cone b-metric-like space over Banach algebra and investigate the existence of a fixed point for generalized
We prove some fixed point theorems in the setting of an extended cone b-metriclike space over Banach algebra
Summary
Fixed point theory is a well furnished concept and plays a fundamental role in analysis and topology. It has wide applications in different domains of mathematics such as in the theory of ODEs, PDEs, integral Equations and so forth. Huang and Zhang [2] generalized the concept of metric space and introduced cone metric space. They replaced the set of real numbers to real Banach space. Many articles have discussed the results on cone metric spaces being identical to results on ordinary metric spaces
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
