journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-2145 Integral-type contractions and weakly compatible mappings in 2-metric spaces Hemavathy K. Department of Mathematics, Faculty of Engineering and Technology, Vadapalani Campus, No.1, Jawaharlal Nehru Salai, Vadapalani, SRM Institute of Science and Technology, Chennai, Tamil Nadu, 600026, India Thalapathiraj S. Department of Mathematics, Faculty of Engineering and Technology, Vadapalani Campus, No.1, Jawaharlal Nehru Salai, Vadapalani, SRM Institute of Science and Technology, Chennai, Tamil Nadu, 600026, India 28 5 1893 1899 28 08 2025

This research explores f.p theorems by utilizing weakly compatible mappings in 2-m.s, focusing on contractive conditions of the integral type. By broadening the notion of compatibility, the study demonstrates the unique common fixed point for four self-mappings that meet certain rational inequality constraints.

 Fixed point (f. p) 2-metric space (2-m.s) Property (E.A) access open retracted no