Strong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mapping

Fixed point iteration for a countable family of multi-valued strictly pseudo-contractive-type mappings

This paper introduces a new averaged algorithm for finding a common fixed point of a countably infinite family of generalized k-strictly pseudocontractive multi-valued mappings. The new iterative sequence introduced is proved to be an approximating fixed point sequence for common fixed points of a countably infinite family of this class of mappings. Furthermore, under some mild assumptions, str...

Strong convergence of variational inequality problem Over the set of common fixed points of a family of demi-contractive mappings

In this paper, by using the viscosity iterative method and the hybrid steepest-descent method, we present a new algorithm for solving the variational inequality problem. The sequence generated by this algorithm is strong convergence to a common element of the set of common zero points of a finite family of inverse strongly monotone operators and the set of common fixed points of a finite family...

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.

The Split Common Fixed Point Problem for ρ-Strictly Pseudononspreading Mappings

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...

Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings