Existence and uniqueness of common fixed point in C∗-algebra valued metric space using E. A. and CLR properties

In this paper, the theorems are given to discussing about two pair of weakly compatible mappings which posses a unique common fixed point of under a certain type of contraction. With the help of E. A. and CLR properties, we also prove a unique common fixed point under certain type contraction for tw...

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Bibliographic Details
Main Authors: Awasthi, A. K., Kumar, Mahesh
Format: Conference Proceeding
Language:English
Subjects:
Fixed points (mathematics)
Metric space
Online Access:Get full text
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Summary:In this paper, the theorems are given to discussing about two pair of weakly compatible mappings which posses a unique common fixed point of under a certain type of contraction. With the help of E. A. and CLR properties, we also prove a unique common fixed point under certain type contraction for two pairs of mappings. The proved results are helpful to extend and generalize the literature’s result. To illustrate our results, some examples are provided in last.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0143865