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

#### Abstract

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.

#### Full Text:

PDF#### References

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