Some Common Fixed Point Results for 𝒵 E −Contractions in Modular b−Metric Spaces

Author:

Büyükkaya Abdurrahman1,Öztürk Mahpeyker2

Affiliation:

1. Karadeniz Technical University , Department of Mathematics , Trabzon , Turkey

2. Sakarya University , Department of Mathematics , Sakarya , Turkey

Abstract

Abstract The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces. Some of the outcomes have been applied to integral equations, and a new result has been put forward. Furthermore, a novel common fixed point theorem is verified by combining the obtained results with the integral-type contraction condition.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Reference41 articles.

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2. [2] I. A. Bakhtin, The contraction mapping principle in quasi metric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst., 30, 26–37 (1989).

3. [3] S. Czerwik, Contraction mappings in b-metric spaces, Acta. Math. Inform. Univ. Ostrav., 1, 1 (1993).

4. [4] S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces. Atti Semin. Mat. Fis. Univ.Modena, 46, 263-276 (1998).

5. [5] A. Aghajani, M. Abbas, J. R. Roshan, Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces, Math. Slovaca, 64(4), 941–960 (2014).

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