A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces

Authors: Thierno M. M. Sow

Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990

Volume: 2020 · Pages: 28 - 39

Published Online: 19 Jun 2020

Abstract: The purpose of this paper is to use a modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces. It is proven that the sequence generated by the proposed iterative algorithm converges strongly to the common solution of the convex minimization and variational inclusion problems.

Keywords: Proximal point algorithms, convex minimization problem, variational inclusion problem, forward-backward splitting method

DOI: 10.2478/ejaam-2020-0003

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