Iterative Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Pseudocontractive Operators

Yonghong Yao, Mihai Postolache and Jen-Chih Yao
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Yonghong Yao: School of Mathematical Sciences, Tiangong University, Tianjin 300387, China
Mihai Postolache: Center for General Education, China Medical University, Taichung 40402, Taiwan
Jen-Chih Yao: Center for General Education, China Medical University, Taichung 40402, Taiwan

Mathematics, 2019, vol. 7, issue 12, 1-13

Abstract: In this paper, we are interested in the pseudomonotone variational inequalities and fixed point problem of pseudocontractive operators in Hilbert spaces. An iterative algorithm has been constructed for finding a common solution of the pseudomonotone variational inequalities and fixed point of pseudocontractive operators. Strong convergence analysis of the proposed procedure is given. Several related corollaries are included.

Keywords: pseudomonotone variational inequality; fixed point; pseudocontractive operators; strong convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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