Generalized Almost Simulative (<i>Z</i>)over-cap<sub>Ψ*</sub><SUP>Θ</SUP>-Contraction Mappings in Modular <i>b</i>-Metric Spaces


Ozturk M., Golkarmanesh F., Buyukkaya A.

JOURNAL OF MATHEMATICAL EXTENSION, no.2, pp.36-72, 2023 (ESCI) identifier

Abstract

This article aims to characterize a new class of simulation functions by extending the class of Z functions demonstrated by Cho in [16] and, via this novel notion, to establish some common fixed point theorems in modular b-metric spaces. Furthermore, some corollaries have been procured that expand the existing literature. An example and an application to the nonlinear integral equations have been furnished to state the applicability and effectiveness of the outcomes.