*Correspondence: [email protected] 1College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, P.R. China Abstract In this paper, we propose an iteration method for finding a split common fixed point of asymptotically nonexpansive semigroups in the setting of two Banach spaces, and we obtain some weak and strong convergence theorems of the itera...

Throughout this paper, we always assume that H is a real Hilbert space with inner product ⟨⋅, ⋅⟩ and norm ‖ ⋅ ‖. Let I denote the identity operator onH. LetH 1 andH 2 be two real Hilbert spaces and letA : H 1 → H 2 be a bounded linear operator. Given closed convex subsets C and Q of H 1 and H 2 , respectively. The split feasibility problem (SFP) (Censor and Elfving 1994 [1]), modeling phase ret...

Abstract The purpose of this paper is to propose a new inertial self-adaptive algorithm for generalized split system common fixed point problems finite family averaged mappings in the framework Hilbert spaces. weak convergence theorem proposed method given and its theoretical application solving several presented. behavior efficiency illustrated by some numerical tests.

The purpose of this paper is to propose an algorithm for solving the split common fixed point problems for total asymptotically strictly pseudocontractive mappings in infinite-dimensional Hilbert spaces. The results presented in the paper improve and extend some recent results of Moudafi 2011 and 2010 , Xu 2010 and 2006 , Censor and Segal 2009 , Censor et al. 2005 , Masad and Reich 2007 , Censo...

The multiple-set split feasibility problem requires finding a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space. It can be amodel for many inverse problemswhere constraints are imposed on the solutions in the domain of a linear operator as well as in the operat...