FIXED POINTS OF ALMOST SUZUKI TYPE $\boldsymbol{\mathcal{Z}_s}$-CONTRACTIONS IN S-METRIC SPACES

Authors

  • G. V. R. Babu Department of Mathematics, Andhra University, Visakhapatnam-530 003, India Author
  • P. Durga Sailaja Department of Mathematics, Lendi Institute of Engineering and Technology, Vizianagaram-535 005, India Author
  • G. Srichandana Department of Mathematics, Satya Institute of Technology and Management, Vizianagaram-535 002, India Author

Keywords:

$S$-metric space, $\mathcal{Z}$-contraction, simulation function, $\mathcal{Z}_s$-contraction, almost Suzuki type $\mathcal{Z}_s$-contraction

Subjects:

47H10, 54H25

Abstract

In this paper, we introduce almost Suzuki type $\mathcal{Z}_s$-contractions and prove the existence and uniqueness of fixed points of such mappings in complete $S$-metric spaces. Our results generalize Theorem 1 from [N. Mlaiki, N. Y\i lmaz Özgür, Nihal Taş, Mathematics, 7 (583) 2019, 12 pages] and Theorem 3.1 from [S. Sedghi, N. Shobe, A. Aliouche, Mat. Vesnik, 64 (3) (2012), 258-266]. We give illustrative examples in support of our result.

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Published

2022-04-15

Issue

Vol. 74 No. 2 (2022): Vol. 74, Issue 2

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.