General algorithm for variational inequalities

Summary

A general auxiliary principle technique to suggest and analyze a novel and innovative iterative algorithm for solving variational inequalities and optimization problems and the convergence criteria is considered.

Keywords

Variational inequality, Theory of computation, Mathematics, Convergence (economics), Algorithm

References

An introduction to variational inequalities and their applicationsDavid Kinderlehrer, Guido Stampacchia — 1980
Auxiliary problem principle extended to variational inequalitiesGuy Cohen — 1988
Numerical Analysis of Variational InequalitiesRichard S. Falk, R. Glowinski, J. L. Lions — 1981
General nonlinear variational inequalitiesMuhammad Aslam Noor — 1987

Cited by

General Strongly Nonlinear Quasivariational Inequalities with Relaxed Lipschitz and Relaxed Monotone MappingsZ. Liu, J.S. Ume, Shin Min Kang — 2002
On a General Projection Algorithm for Variational InequalitiesLei Zeng — 1998
Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalitiesXie Ping Ding — 2000
Predictor-corrector iterative algorithms for solving generalized mixed variational-like inequalitiesXie Ping Ding — 2004
Three-step iterative algorithms for solving the system of generalized mixed quasi-variational-like inclusionsLu-Chuan Zeng, Sy‐Ming Guu, Jen‐Chih Yao — 2007
Auxiliary problem and algorithm for a generalized mixed equilibrium problemSuhel Ahmad Khan — 2015
The solvability of a class of generalized nonlinear variational inequalities based on an iterative algorithmRajat Verma — 1999
Some aspects of variational inequalitiesMuhammad Aslam Noor, Khalida Inayat Noor, Themistocles M. Rassias — 1993
Inégalités variationnelles non convexesMessaoud Bounkhel, Djalel Bounkhel — 2005
General algorithm of solutions for nonlinear variational inequalities in Banach spaceXie Ping Ding — 1997
Existence and algorithm of solutions for generalized strongly nonlinear mixed variational-like inequalities in Banach spacesXie Ping Ding, Jen‐Chih Yao, Lu-Chuan Zeng — 2008
Predictor-corrector iterative algorithms for solving generalized mixed quasi-variational-like inclusionXie Ping Ding — 2005
Algorithm of Solutions for Mixed Implicit Quasi-Variational Inequalities with Fuzzy MappingsXie Ping Ding — 1999
Existence and algorithm for solving some generalized mixed variational inequalitiesXie Ping Ding, Chun Lin Luo — 1999
A Note on General Algorithm for Variational InequalitiesLu-Chuan Zeng — 1998
Nonconvex functions and variational inequalitiesMuhammad Aslam Noor — 1995
A class of gap functions for variational inequalitiesTorbjörn Larsson, Michael Patriksson — 1994
Algorithms of solutions for completely generalized mixed implicit quasi-variational inclusionsXie Ping Ding — 2004
Existence of Solutions and an Algorithm for Mixed Variational-Like Inequalities in Banach SpacesX. P. Ding — 2005
General algorithm of random solutions for random nonlinear variational inequalities in banach SpacesXie Ping Ding — 1999

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