A Strong Convergence Theorem under a New Shrinking Projection Method for Finite Families of Nonlinear Mappings in a Hilbert Space

Wataru Takahashi
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Wataru Takahashi: Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan

Mathematics, 2020, vol. 8, issue 3, 1-15

Abstract: In this paper, using a new shrinking projection method, we deal with the strong convergence for finding a common point of the sets of zero points of a maximal monotone mapping, common fixed points of a finite family of demimetric mappings and common zero points of a finite family of inverse strongly monotone mappings in a Hilbert space. Using this result, we get well-known and new strong convergence theorems in a Hilbert space.

Keywords: fixed point; demimetric mapping; inverse strongly monotone mapping; maximal monotone mapping; shrinking projection method; variational inequality problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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