MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
FIXED POINTS OF ALMOST SUZUKI TYPE $\boldsymbol{\mathcal{Z}_s}$-CONTRACTIONS IN S-METRIC SPACES
G. V. R. Babu, P. Durga Sailaja, G. Srichandana

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 Ta\c s, 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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Keywords: $S$-metric space; $\mathcal{Z}$-contraction; simulation function; $\mathcal{Z}_s$-contraction; almost Suzuki type $\mathcal{Z}_s$-contraction.

MSC: 47H10, 54H25

Pages:  130$-$140     

Volume  74 ,  Issue  2 ,  2022