FIXED POINT THEOREMS FOR $\theta$-EXPANSIONS IN BRANCIARI METRIC SPACES

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 27

Volume : 10 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2022.1001.10
Author :
Priya Shahi (St. Andrew s College of Arts, Science and Commerce, St. Dominic Road, Bandra (W), Mumbai, INDIA)
Vishnu Narayan Mishra (Department of Mathematics, Faculty of Science Indira Gandhi National Tribal University, Amarkantak - 484887, Madhya Pradesh, INDIA)

Abstract

In this paper, we define $\theta$-expansions on Branciari metric spaces by complementing the concept of $\theta$-contractions introduced by Jleli and Samet (J. Inequal. Appl. 2014:38, 2014). Also, we present some new fixed point results for $\theta$-expansion mappings on a Branciari metric space.

Keywords and Phrases

Expansive mapping, metric space, fixed point, $\theta$-contraction.

A.M.S. subject classification

54H25, 47H10, 54E50.

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