Solution of Nonlinear Fredholm Integral Equations on Almost ${\mathcal{Z}}_{\perp }$-Contraction

Abstract

In this manuscript, we develop an orthogonal to basically Z -contraction and demonstrate various fixed point theorems of nonlinear Fredholm integral equation solutions in such a contraction. By using these ideas of discovering the fixed point theorems, we can also build the application of the Fredholm integral equation.

Fixed Point Results via Orthogonal (α − 𝔶 − 𝔾)-Contraction in Orthogonal Complete Metric Space

“…In 2017, Hussain et al [10] improved and expanded certain fixed point theorems for generalized G-contractive axioms in complete metric space occupation. For further details, see [11][12][13][14][15][16][17][18][19][20].…”