Kannan Nonexpansive Mappings on Variable Exponent Function Space of Complex Variables with Some Applications

Abstract

This paper establishes the reality of a fixed point of Kannan’s prequasinorm contraction mapping on the variable exponent function space of complex variables, demonstrating that it satisfies the property (R) and possesses a prequasinormal structure. We have established the presence of a fixed point of Kannan prequasinorm nonexpansive mapping on it and Kannan prequasinorm contraction mapping in the prequasi-Banach operator ideal, created by this function space and$s$-numbers. Finally, we provide some applications for solutions to summable equations and illustrate instances to corroborate our findings.