C∗-algebra valued quasi metric spaces and fixed point results with an application

Mohammad Asim; Santosh Kumar; Mohammad Imdad; Reny George

doi:10.4995/agt.2022.16783

C^∗-algebra valued quasi metric spaces and fixed point results with an application

Mohammad Asim
, Santosh Kumar
, Mohammad Imdad
, Reny George

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we introduce the notion of C^∗-algebra valued quasi metric space to generalize the notion of C^∗-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.

Original language	English
Pages (from-to)	287-301
Number of pages	15
Journal	Applied General Topology
Volume	23
Issue number	2
DOIs	https://doi.org/10.4995/agt.2022.16783
State	Published - 3 Oct 2022

Keywords

C-algebra
C-algebra valued quasi metric spaces
fixed point
integral equations

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10.4995/agt.2022.16783

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abstract = "In this paper, we introduce the notion of C∗-algebra valued quasi metric space to generalize the notion of C∗-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.",

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KW - C-algebra valued quasi metric spaces

KW - fixed point

KW - integral equations

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C^∗-algebra valued quasi metric spaces and fixed point results with an application

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Keywords

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