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Volume : XIII, Issue : VI, July - 2023

A STUDY OF ZIPPERED FIXED POINTS FOR ASTRINGENT MAPPINGS IN EXTENDED METRIC STRUCTURES

Rekha D/O Basappa Y. Doddamani, Dr. SaruKumari

By : Laxmi Book Publication

Abstract :

This paper introduces and explores the concept of zippered fixed points within the framework of astringent mappings in extended metric structures. Extending classical fixed point theory, we define astringent mappings as a generalization of contractive-type functions that exhibit controlled nonexpansiveness relative to a modified distance function, which we term an extended metric.

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Cite This Article :

Rekha D/O Basappa Y. Doddamani, Dr. SaruKumari(2023). A STUDY OF ZIPPERED FIXED POINTS FOR ASTRINGENT MAPPINGS IN EXTENDED METRIC STRUCTURES. Indian Streams Research Journal, Vol. XIII, Issue. VI, http://isrj.org/UploadedData/11323.pdf

References :

  1. Edelstein, M. (1962). On fixed point theorems for contractive mappings. Proceedings of the American Mathematical Society,
  2. Banach, S. (1922). Sur les opérationsdans les ensembles abstraitsetleur application aux équationsintégrales.

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