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Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators

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In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods. Under some… Click to show full abstract

In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods. Under some suitable conditions, we prove strong convergence theorems of such sequences to the solution of the sum of an inverse-strongly monotone and a maximal monotone operator. Finally, we present a numerical result of our algorithm which is defined by the hybrid method.

Keywords: two monotone; shrinking projection; monotone operators; monotone; projection methods

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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