The Modified Inertial Iterative Algorithm for Solving Split Variational Inclusion Problem for Multi-Valued Quasi Nonexpansive Mappings with Some Applications

  • Phairatchatniyom, Pawicha; 
  • Kumam, Poom; 
  • Cho, Yeol Je; 
  • Jirakitpuwapat, Wachirapong; 
  • Sitthithakerngkiet, Kanokwan
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초록

Based on the very recent work by Shehu and Agbebaku in Comput. Appl. Math. 2017, we introduce an extension of their iterative algorithm by combining it with inertial extrapolation for solving split inclusion problems and fixed point problems. Under suitable conditions, we prove that the proposed algorithm converges strongly to common elements of the solution set of the split inclusion problems and fixed point problems.

키워드

variational inequality problem; split variational inclusion problem; multi-valued quasi-nonexpasive mappings; Hilbert space; FIXED-POINT PROBLEM; CONVERGENCE THEOREMS; MONOTONE-OPERATORS; MANN
제목
The Modified Inertial Iterative Algorithm for Solving Split Variational Inclusion Problem for Multi-Valued Quasi Nonexpansive Mappings with Some Applications
저자
Phairatchatniyom, Pawicha; Kumam, Poom; Cho, Yeol Je; Jirakitpuwapat, Wachirapong; Sitthithakerngkiet, Kanokwan
DOI
10.3390/math7060560
발행일
2019-06
유형
Article
저널명
MATHEMATICS
권
7
호
6