SPLIT EQUALITY FIXED POINT PROBLEM FOR $\alpha$-DEMICONTRACTIVE MAPPINGS IN HILBERT SPACES

A. C. ONAH, P. U. NWOKORO

Abstract


In this paper, we study the split equality fixed
point problem for $\alpha$- demicontractive mappings in the frame-
work of infinite dimensional real Hilbert spaces. The study
is a continuation of a recent study of a new iterative algo-
rithm by Zhaoli Ma et al [11] in which they proved weak
and strong convergence theorems of the new algorithm for
strictly-pseudocontractive mappings. As an extension of their
work, we extend the class of mappings to $\alpha$ -demicontractive
mappings which is more general than the class of strictly-
pseudocontractive mappings with nonempty fixed point set. The
results presented in this paper extend and complement many related papers in literature.

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