journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1462 The convergence of new iterations by resolvent ZA-Jungck mappings Mohsen Alaa Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq Maibed Zena Hussein Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq 26 4 579 584 15 06 2023

In this paper, new iterations with different steps such as resolvent Jungck ZSY, resolvent Jungck Modified Mann Z-, resolvent Jungck Petrusel, and the resolvent Jungck Ishikawa iterations are introduced. Also, the convergence and speediness of it are studied and shown that the resolvent Jungck ZSY- iteration scheme is faster than that of resolvent Jungck Modified Mann Z- iteration scheme. On the other hand, the resolvent Jungck ZSY- iteration is faster than the resolvent Jungck Picard iteration. 

 Banach space Iteration methods Resolvene-Jungck mapping access open retracted no