Topological Algebra and its Applications (Dec 2022)

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

  • Büyükkaya Abdurrahman,
  • Öztürk Mahpeyker

DOI
https://doi.org/10.1515/taa-2022-0127
Journal volume & issue
Vol. 10, no. 1
pp. 196 – 215

Abstract

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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.

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