Solving a nonlinear integral equation via orthogonal metric space

• DOI: 10.3934/math.2022070
• Publication Date: 2021-10-21T10:36:23Z
• Authors: Arul Joseph Gnana...; ; Gunaseelan Mani; Jung Rye Lee; Choonkil Park
• Keywords: orthogonal set; orthogonal continuous; fixed point; QA1-939; orthogonal complete metric space; orthogonal preserving; orthogonally triangular α-admissible; 0101 mathematics; 01 natural sciences; Mathematics

<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 well-known outcomes literature are generalized expanded by our results. An instance to help outcome is presented. We also explore applications key results.</p></abstract>