Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 177-196 |
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Dhariwal R, Kumar D. On Common Fixed Point Using Expansion Mapping in $C^*$-Algebra Valued Metric Spaces. IJMSI 2026; 21 (2) :177-196
URL: http://ijmsi.ir/article-1-2349-en.html
URL: http://ijmsi.ir/article-1-2349-en.html
Abstract:
In this present manuscript, for four weakly compatible mapping in pairs, an expansion theorems have been developed in $C^*$-algebra valued metric space. We proved the theorem without using the completeness condition of $C^*$-algebra valued metric space by $(E.A.)$ and $(CLR)$ property. The result is an extension and generalization of several metric space results available. To confirm the finding, suitable examples are also discussed.
Keywords: Common fixed points, $(E.A.)$ property, $(CLR)$ property, Weakly compatible maps, $C^*$-algebra valued metric space.
Type of Study: Research paper |
Subject:
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