The purpose of this paper is to propose a method for approximating the solution split common fixed point problem involving \(\lambda\)-strict quasi-\(G_f\)-pseudocontractive mappings in setting two Banach spaces using \(G_f(.,.)\) functional. We prove that proposed converges strongly problem. In addition, we provide some applications our and numerical results demonstrate applicability method.

in this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regularasymptotically nonexpansive mappings in a real reflexive banach space with a uniformly g$hat{a}$teaux differentiable norm. our result is applicable in $l_{p}(ell_{p})$ spaces,$1 < p

We study the convergence of Ishikawa iteration process for the class of asymptotically κ-strict pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Weak convergence theorem is established. We also obtain a strong convergence theorem by using hybrid projection for this iteration process. Our results improve and extend the corresponding results announced by...