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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 146

Volume : 17 , Issue : 1
DOI:
Author :
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)

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.

A.M.S. subject classification

47H10, 54H25, 37C25.

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