A modified predictor-corrector algorithm for solving nonconvex generalized variational inequality

Computers and Mathematics with Applications

Volumn 54, Issue 3, 2007, Pages 319-325

  Pang, Li Ping ^a   Shen, Jie ^b   Song, He Shan ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b LIAONING NORMAL UNIVERSITY   (China)

Author keywords

Convergence; Iterative methods; Nonconvex set; Partially relaxed strong monotonicity; Variational inequality

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

NONCONVEX SET; PARTIALLY RELAXED STRONG MONOTONICITY; VARIATIONAL INEQUALITY;

ALGORITHMS;

EID: 34250895019     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.07.010     Document Type: Article

References (8)

1. Bounkhel M., Tadj L., and Hamdi A. Iterative schemes to solve nonconvex variational problems. Journal of Optimization Theory and Applications 38 (1982) 363-383
2. Fang S.C., and Peterson E.L. Generalized variational inequalities. Journal of Optimization Theory and Application 38 (1982) 363-383
3. Glowinski R., Lions J.L., and Tremolieres R. Numerical Analysis of Variational Inequalities (1981), North-Holland, Amsterdam, Holland
4. Noor M.A. Generalized set-valued variational inequalities. Le Matematiche (Catania) 52 (1997) 3-24
5. Noor M.A. Some predictor-corrector algorithms for multivalued variational inequalities. Journal of Optimization Theory and Applications 106 3 (2001) 659-671
6. Noor M.A. Iterative schemes for nonconvex variational inequalities. Journal of Optimization Theory and Applications 121 2 (2004) 385-395
7. Rockafellar R.T., and Wets R.J.B. Variational Analysis (1998), Springer, Berlin
8. Stampacchia G. Formes bilinéaires coercitives sur les ensembles convexs. Comptes Rendus de 1'Académie des Sciences, Paris 258 (1964) 4413-4416