On Fixed Point Convergence Results for a General Class of Nonlinear Mappings with a Supportive Application

In this article, we considered the class of generalized α , β -nonexpansive (GABN) mappings that properly includes all nonexpansive, Suzuki nonexpansive (SN), id="M2"> (GAN), and Reich–Suzuki (RSN) mappings. We used iterative scheme JA for finding fixed points these in a Banach space setting. provided both weak strong convergence results under some mild conditions on mapping, domain, parameters involved our scheme. To support numerically, constructed new example GABN proved converges to its point. Moreover, faster point corresponding other schemes literature. Eventually, carried out an application main outcome solve split feasibility problems (SFPs) setting Thus, were literature improved well-known