COMMON FIXED POINTS OF A PAIR OF SUZUKI $\mathcal{Z}$-CONTRACTION TYPE MAPS IN $b$-METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 117

Volume : 17 , Issue : 1
DOI:
Author :
G. V. R. Babu (Department of Mathematics, Andhra University, Visakhapatnam - 530003, Andhra Pradesh, INDIA)
D. Ratna Babu (Department of Mathematics, PSCMRCET, Vijayawada - 520001, Andhra Pradesh, INDIA)

Abstract

In this paper, we introduce Suzuki $\mathcal{Z}$-contraction type (I) maps, Suzuki $\mathcal{Z}$-contraction type (II) maps, for a pair of selfmaps in $b$-metric spaces and prove the existence and uniqueness of common fixed points. We draw some corollaries to our results and provide examples in support of our results.

Keywords and Phrases

Common fixed point, $b$-metric space, $b$-continuous, Suzuki $\mathcal{Z}$-contraction type maps.

A.M.S. subject classification

47H10, 54H25.

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