Fixed points of Suzuki Z-contraction type maps in b-metric spaces

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Original research article

Author(s):

Gutti Venkata Ravindranadh Babu^a, Dasari Ratna Babu^b

^aDepartment of Mathematics, Andhra University, Visakhapatnam – 530 003, India
^bPresent address: Department of Mathematics, Andhra University, Visakhapatnam – 530 003, India.
Permanent address: Department of Mathematics, PSCMR College of Engineering and Technology (PSCMRCET), Vijayawada – 520 001, India

Advances in the Theory of Nonlinear Analysis and its Applications 4(1), 14-28.

Received: October 11, 2019

Accepted: November 11, 2019

Published: November 18, 2019

Abstract

In this paper, we introduce Suzuki 𝒵-contraction type (I) maps and Suzuki 𝒵-contraction type (II) maps for a single self-map and prove the existence and uniqueness of fixed points. Our results extend and generalize the results of Kumam, Gopal, and Budhia, as well as Padcharoen, Kumam, Saipara, and Chaipunya, from metric space settings to b-metric spaces. We also provide examples in support of our results.

Keywords: Fixed points; b-metric space; b-continuous; Suzuki 𝒵-contraction type maps.

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APA Style

Babu, D. R., & Babu, G. V. R. (2020). Fixed points of Suzuki Z-contraction type maps in b-metric spaces. Advances in the Theory of Nonlinear Analysis and its Application, 4(1), 14-28.