Solving a nonlinear integral equation via orthogonal metric space

Abstract

<abstract><p>We propose the concept of orthogonally triangular $ \alpha $-admissible mapping and demonstrate some fixed point theorems for self-mappings in orthogonal complete metric spaces. Some of the well-known outcomes in the literature are generalized and expanded by our results. An instance to help our outcome is presented. We also explore applications of our key results.</p></abstract>