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Article

An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems

1
School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
2
Center for General Education, China Medical University, Taichung 40402, Taiwan
3
Romanian Academy, Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania
4
Department of Mathematics and Informatics, University “Politehnica” of Bucharest, 060042 Bucharest, Romania
5
Center for General Education, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(1), 61; https://doi.org/10.3390/math7010061
Received: 20 December 2018 / Revised: 4 January 2019 / Accepted: 6 January 2019 / Published: 8 January 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
In this paper, a generalized variational inequality and fixed points problem is presented. An iterative algorithm is introduced for finding a solution of the generalized variational inequalities and fixed point of two quasi-pseudocontractive operators under a nonlinear transformation. Strong convergence of the suggested algorithm is demonstrated. View Full-Text
Keywords: split problems; variational inequalities; pseudocontractive operators; fixed points split problems; variational inequalities; pseudocontractive operators; fixed points
MDPI and ACS Style

Yao, Y.; Postolache, M.; Yao, J.-C. An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems. Mathematics 2019, 7, 61. https://doi.org/10.3390/math7010061

AMA Style

Yao Y, Postolache M, Yao J-C. An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems. Mathematics. 2019; 7(1):61. https://doi.org/10.3390/math7010061

Chicago/Turabian Style

Yao, Yonghong, Mihai Postolache, and Jen-Chih Yao. 2019. "An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems" Mathematics 7, no. 1: 61. https://doi.org/10.3390/math7010061

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