Solving integral equations via orthogonal hybrid interpolative RI-type contractions

Abstract

Abstract In this paper, we initiate the fixed point theorems for an orthogonal hybrid interpolative Riech Istrastescus type contractions map on orthogonal b-metric spaces to modify this class proficiently. Also, we provide some examples supporting our main results. Finally, we provide an application to solve the existence and uniqueness of an integral equation with numeric results, which is powerful in a greater way.

Keywords

• Orthogonal b-metric space
• Orthogonal hybrid interpolative Riech Istrastescue type contraction
• Orthogonal π-admissible map
• Fredholm integral equation