Auxiliary Principle Technique for Extended General Variational Inequalities

In this paper, we use the auxiliary principle technique to study the existence of a solution of the extended general variational inequalities, which were introduced and studied by the author. Several special cases are also discussed.

[1]  M. Noor Some algorithms for general monotone mixed variational inequalities , 1999 .

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

[3]  Muhammad Aslam Noor,et al.  Extended general variational inequalities , 2009, Appl. Math. Lett..

[4]  M. Noor New approximation schemes for general variational inequalities , 2000 .

[5]  Muhammad Aslam Noor,et al.  Projection-proximal methods for general variational inequalities , 2006 .

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

[7]  E. Youness E-Convex Sets, E-Convex Functions, and E-Convex Programming , 1999 .

[8]  Muhammad Aslam Noor,et al.  Quasi variational inequalities , 1988 .

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

[10]  Liana Lupşa,et al.  Non-Connected Convexities and Applications , 2002 .

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

[12]  Pekka Neittaanmäki,et al.  Variational and Quasi-Variational Inequalities in Mechanics , 2007 .

[13]  M. Patriksson Nonlinear Programming and Variational Inequality Problems: A Unified Approach , 1998 .

[14]  Muhammad Aslam Noor,et al.  Set-Valued Resolvent Equations and Mixed Variational Inequalities☆ , 1998 .

[15]  R. Glowinski,et al.  Numerical Analysis of Variational Inequalities , 1981 .

[16]  F. Giannessi,et al.  Variational inequalities and network equilibrium problems , 1995 .

[17]  M. Noor,et al.  Some aspects of variational inequalities , 1993 .