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In this paper, we introduce a new class of resolvent operator, the η-proximal operator, and discuss some of its properties. We consider a new generalized variational-like inclusion problem involving relaxed monotone operators in Hilbert space and construct a new iterative algorithm for proving the existence of the solutions of our problem. Our results improve and generalize many corresponding results in the recent literature.

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This page is a summary of: Generalized variational-like inclusion involving relaxed monotone operators, Advances in Pure and Applied Mathematics, January 2017, De Gruyter,
DOI: 10.1515/apam-2015-0073.
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