Next Article in Journal
Decomposition and Arrow-Like Aggregation of Fuzzy Preferences
Previous Article in Journal
Some Fractional Dynamic Inequalities of Hardy’s Type via Conformable Calculus
Previous Article in Special Issue
Existence of a Unique Fixed Point for Nonlinear Contractive Mappings
Open AccessArticle

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

by Wataru Takahashi 1,2,3
1
Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan
2
Keio Research and Education Center for Natural Sciences, Keio University, Kouhoku-ku, Yokohama 223-8521, Japan
3
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Tokyo 152-8552, Japan
Mathematics 2020, 8(3), 435; https://doi.org/10.3390/math8030435
Received: 2 January 2020 / Accepted: 8 March 2020 / Published: 17 March 2020
(This article belongs to the Special Issue Variational Inequality)
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. View Full-Text
Keywords: fixed point; demimetric mapping; inverse strongly monotone mapping; maximal monotone mapping; shrinking projection method; variational inequality problem fixed point; demimetric mapping; inverse strongly monotone mapping; maximal monotone mapping; shrinking projection method; variational inequality problem
MDPI and ACS Style

Takahashi, W. A Strong Convergence Theorem under a New Shrinking Projection Method for Finite Families of Nonlinear Mappings in a Hilbert Space. Mathematics 2020, 8, 435.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop