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

G. V. R. Babu; D. Ratna Babu

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

Volume 17, Issue 1 Pages 325-346 April 30, 2021 222 downloads

Article overview

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$b$-continuousSuzuki $\mathcal{Z}$-contraction type maps.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

G. V. R. Babu, D. Ratna Babu (2021). COMMON FIXED POINTS OF A PAIR OF SUZUKI $\mathcal{Z}$-CONTRACTION TYPE MAPS IN $b$-METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 325-346.

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