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

G. V. R. Babu; P. Durga Sailaja; G. Srichandana

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,

Z

-contraction, simulation function,

Z_{s}

-contraction, almost Suzuki type

Z_{s}

-contraction

Subjects:

47H10, 54H25

Abstract

In this paper, we introduce almost Suzuki type $Z_{s}$ -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.

FIXED POINTS OF ALMOST SUZUKI TYPE $Z_{s}$ -CONTRACTIONS IN S-METRIC SPACES

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FIXED POINTS OF ALMOST SUZUKI TYPE Zs-CONTRACTIONS IN S-METRIC SPACES

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FIXED POINTS OF ALMOST SUZUKI TYPE $Z_{s}$ -CONTRACTIONS IN S-METRIC SPACES