$\omega $-INTERPOLATIVE \'{C}IRI\'{C}-REICH-RUS TYPE CONTRACTIONS IN $M$-METRIC SPACE

M. Pitchaimani; K. Saravanan

M. Pitchaimani Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai - 600005, INDIA

K. Saravanan Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai - 600005, INDIA

Volume 17, Issue 1 Pages 397-408 April 30, 2021 254 downloads

Article overview

Abstract

In this paper, we generalize the concept of $\omega$-interpolative \'{C}iri\'{c}-Reich-Rus Type Contractions in the framework of $M$-metric spaces, to find the fixed points and proved some fixed points results for such mappings. Moreover an illustration is provided to support our applicability of obtained results.

Keywords and Phrases

$\omega$-interpolative \'{C}iri\'{c}-Reich-Rus Type contraction$M$-metric space$\omega$-orbital.

AMS Subject Classification

47H10, 54H25, 37C25.

Reference information

How to Cite

M. Pitchaimani, K. Saravanan (2021). $\omega $-INTERPOLATIVE \'{C}IRI\'{C}-REICH-RUS TYPE CONTRACTIONS IN $M$-METRIC SPACE. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 397-408.

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