论文信息 - General Wiener-Hopf equation technique for nonexpansive mappings and general variational inequalities in Hilbert spaces

General Wiener-Hopf equation technique for nonexpansive mappings and general variational inequalities in Hilbert spaces

Abstract In this paper, we show the general variational inequality problems are equivalent to solving the general Wiener–Hopf equations. By using the equivalence, we establish a general iterative algorithm for finding the solution of general variational inequalities, general Wiener–Hopf and the fixed point of nonexpansive mappings. Our results extend and improve the recent corresponding results announced by many others.

Muhammad Aslam Noor | Xiaolong Qin | M. Noor | X. Qin

[1] M. Noor,et al. Wiener–Hopf Equations Technique for Quasimonotone Variational Inequalities , 1999 .

[2] Frank-Olme Speck,et al. General Wiener-Hopf factorization methods , 1985 .

[3] Muhammad Aslam Noor,et al. Some developments in general variational inequalities , 2004, Appl. Math. Comput..

[4] Peter Shi,et al. Equivalence of variational inequalities with Wiener-Hopf equations , 1991 .

[5] Muhammad Aslam Noor,et al. Wiener-hopf equations and variational inequalities , 1993 .

[6] Muhammad Aslam Noor,et al. Some new projection methods for variational inequalities , 2003, Appl. Math. Comput..

[7] Muhammad Aslam Noor,et al. Sensitivity Analysis for Quasi-Variational Inequalities , 1997 .

[8] Muhammad Aslam Noor,et al. GENERAL VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGS , 2007 .

[9] Xinlong Weng,et al. Fixed point iteration for local strictly pseudo-contractive mapping , 1991 .

[10] M. Noor. General variational inequalities , 1988 .