<i>C</i>*-Algebra Valued Partial <i>b</i>-Metric Spaces and Fixed Point Results with an Application
In this paper, we enlarge the class of <inline-formula><math display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra valued partial metric spaces as well as the class o...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-08-01
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Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/8/8/1381 |
Summary: | In this paper, we enlarge the class of <inline-formula><math display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra valued partial metric spaces as well as the class of <inline-formula><math display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra valued <i>b</i>-metric spaces by introducing the class of <inline-formula><math display="inline"><semantics><msup><mi>C</mi><mo>*</mo></msup></semantics></math></inline-formula>-algebra valued partial <i>b</i>-metric spaces and utilize the same to prove our fixed point results. We furnish an example to highlight the utility of our main result. Finally, we apply our result in order to examine the existence and uniqueness of a solution for the system of Fredholm integral equations. |
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ISSN: | 2227-7390 |