Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

Multidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem

In this article, a new multidirectional monotone hybrid iteration algorithm for finding a solution to the split common fixed point problem is presented for two countable families of quasi-nonexpansive mappings in Banach spaces. Strong convergence theorems are proved. The application of the result is to consider the split common null point problem of maximal monotone operators in Banach spaces. ...

Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem

Weak and Strong Convergence of Algorithms for the Split Common Null Point Problem

We introduce and study the Split Common Null Point Problem (SCNPP) for set-valued maximal monotone mappings in Hilbert space. This problem generalizes our Split Variational Inequality Problem (SVIP) [Y. Censor, A. Gibali and S. Reich, Algorithms for the split variational inequality problem, Numerical Algorithms, accepted for publication, DOI 10.1007/s11075-011-9490-5]. The SCNPP with only two s...

Strong convergence theorem for solving split equality fixed point problem which does not involve the prior knowledge of operator norms

‎Our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove a strong convergence theorem for approximating a solution of split equality fixed point problem for quasi-nonexpansive mappings in a real Hilbert space‎. ‎So many have used algorithms involving the operator norm for solving split equality fixed point problem‎, ‎...

Strong Convergence Theorems for the Split Common Fixed Point Problem for Countable Family of Nonexpansive Operators