(ψ,GF)-CONTRACTION MAPPINGS AND RELATED FIXED POINT RESULTS IN PARTIAL MODULAR METRIC SPACES

(ψ,GF)-CONTRACTION MAPPINGS AND RELATED FIXED POINT RESULTS IN PARTIAL MODULAR METRIC SPACES

S. Narzary, L. Hazarika, D. Da

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Abstract

In this paper, we focus on establishing the existence of fixed points results for (ψ, GF)-contraction mapping in partial modular metric spaces. In support of this result, a suitable example is given. For the application, we demonstrate how these results can be utilized to investigate the existence and uniqueness of solutions for a system of Volterratype integral equation. Moreover, we demonstrate the existence of solutions of fractional differential equations in the framework of partial modular metric spaces.

Keywords

Partial modular metric space, (ψ, F)-contraction mappings, Volterra integral equations, fractional differential equations.