Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations

Abstract

This paper deals with the fixed-point findings under relational strict almost (ϕ,ψ)-contraction. Our findings complement and strengthen prevailing results. In the course of the procedure, we also derive a related fixed point theorem for strict almost (ϕ,ψ)-contraction. We provide several illustrative examples to support the validity of our outcomes. We also argue about the possibility of a unique solution of a nonlinear Fredholm integral equation via our outcomes.

Keywords

• fixed points
• binary relation
• nonlinear Fredholm integral equations