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Article Name : | | A STUDY ON INTEGRATING PERMANENT POINTS OF CONTRACTILE TYPE IN METRIC SPACES: INSIGHTS FROM INDIAN MATHEMATICAL RESEARCH | Author Name : | | Vishvanath Reddy & Dr. Sandeep Kumar | Publisher : | | Ashok Yakkaldevi | Article Series No. : | | ROR-15729 | Article : | |  | Author Profile | Abstract : | | In order to bridge the gap between advanced ideas in fixed-point theory and the structural analysis of metric spaces, this study investigates the integration of permanent points of contractile type in metric spaces. The study investigates the circumstances in which permanent points exist and maintain their invariance by concentrating on contractile mappings and their behavior in generalized contexts. | Keywords : | | - enduring points,,mappings of contractiles,
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