A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces

Open Access

Original research article

Author(s):

Alemayehu Gebre, Kidane Koyas, Aynalem Girma

Department of Mathematics, Jimma University, Jimma, Ethiopia

Advances in the Theory of Nonlinear Analysis and its Applications 4 (1), 1-13.

Received: June 6, 2019

Accepted: November 12, 2019

Published: November 18, 2019

Abstract

In this paper, we introduce generalized weakly contractive mappings in the setting of multiplicative metric spaces. Furthermore, we establish a common fixed point result and prove the existence and uniqueness of a common fixed point. Finally, we provide an example in support of our main findings.

Keywords: Generalized weakly contractive mappings; Multiplicative metric space; Common fixed points.

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APA Style

Koyas, K., Gebre, A., & Kassaye, A. (2020). A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces. Advances in the Theory of Nonlinear Analysis and its Application , 4 (1), 1-13.