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Open AccessArticle

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

1
School of Mathematical Sciences, Tiangong University, Tianjin 300387, China
2
The Key Laboratory of Intelligent Information and Big Data Processing of NingXia Province, North Minzu University, Yinchuan 750021, China
3
Center for General Education, China Medical University, Taichung 40402, Taiwan
4
Romanian Academy, Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, Bucharest 050711, Romania
5
Department of Mathematics and Informatics, University “Politehnica” of Bucharest, Bucharest 060042, Romania
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1189; https://doi.org/10.3390/math7121189
Received: 3 November 2019 / Revised: 1 December 2019 / Accepted: 2 December 2019 / Published: 4 December 2019
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. View Full-Text
Keywords: pseudomonotone variational inequality; fixed point; pseudocontractive operators; strong convergence pseudomonotone variational inequality; fixed point; pseudocontractive operators; strong convergence
MDPI and ACS Style

Yao, Y.; Postolache, M.; Yao, J.-C. Iterative Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Pseudocontractive Operators. Mathematics 2019, 7, 1189.

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