References
- Al-Homidan , S and Ansari , QH . 2010 . Generalized Minty vector variational-like inequalities and vector optimization problems . J. Optim. Theory Appl. , 144 : 1 – 11 .
- Ansari , QH and Yao , JC . 2000 . On nondifferentiable and nonconvex vector optimization problems . J. Optim. Theory Appl. , 106 : 475 – 488 .
- Antczak , T . 2005 . Mean value in invexity analysis . Nonlinear Anal. , 60 : 1473 – 1484 .
- Chen , GY . 1992 . Existence of solutions for a vector variational inequality: An extension of the Haremann-Stampacchia theorem . J. Optim. Theory Appl. , 74 : 445 – 456 .
- Chen , GY , Huang , XX and Yang , XQ . 2005 . Vector Optimization: Set-Valued and Variational Analysis , Berlin, Heidelberg : Springer-Verlag .
- Clarke , FH . 1983 . Optimization and Nonsmooth Analysis , New York : Wiley-Interscience .
- Giannessi , F . 1980 . “ Theorem of alternative, quadratic programs, and complementarity problem ” . In Variational Inequality and Complementarity Problem , Edited by: Cottle , RW , Giannessi , F and Lions , JL . 151 – 186 . Chichester , , UK : John Wiley and Sons .
- Giannessi , F . 1998 . “ On Minty variational principle ” . In New Trends in Mathematical Programming , Edited by: Giannessi , F , Komlósi , S and Tapcsáck , T . 93 – 99 . Dordrechet : Kluwer Academic .
- F. Giannessi (ed.), Vector Variational Inequilities and Vector Equilibria: Mathematical Theories, Kluwer Academic, Dordrechet, 2000.
- Huang , NJ and Fang , YP . 2005 . On vector variational inequalities in reflexive Banach space . J. Global Optim. , 32 : 495 – 505 .
- Jabarootian , T and Zafarani , J . 2006 . Generalized invariant monotonicity and invexity of non-differentiable functions . J. Global Optim. , 36 : 537 – 564 .
- Konnov , IV and Yao , JC . 1997 . On the generalized vector variational inequality problem . J. Math. Anal. Appl. , 206 : 42 – 58 .
- Lee , GM . 2000 . “ On relations between vector variational inequality and vector optimization problem ” . In Progress in Optimization, II: Contributions from Australasia , Edited by: Yang , XQ , Mees , AI , Fisher , ME and Jennings , LS . 167 – 179 . Dordrechet : Kluwer Academic .
- Lee , GM , Kim , DS , Lee , BS and Yen , ND . 1998 . Vector variational inequalities as a tool for studying vector optimization problems . Nonlinear Anal. , 34 : 745 – 765 .
- Mishra , SK and Wang , SY . 2006 . Vector variational-like inequalities and non-smooth vector optimization problems . Nonlinear Anal. , 64 : 1939 – 1945 .
- Mohan , SR and Neogy , SK . 1995 . On invex sets and preinvex functions . J. Math. Anal. Appl. , 189 : 901 – 908 .
- Peng , JW . 2006 . Criteria for generalized invex monotonicities without Condition C . Eur. J. Oper. Res. , 170 : 667 – 671 .
- Peng , JW . 2007 . Generalized vector quasi-variational-like inequalities . Math. Inequal. Appl. , 10 : 417 – 426 .
- Rezaie , M and Zafarani , J . 2009 . Vector optimization and variational-like inequalities . J. Global Optim. , 43 : 47 – 66 .
- Ruiz-Garzón , G , Osuna-Gómez , R and Rufián-Lizana , A . 2004 . Relationships between vector variational-like inequality and optimization problems . Eur. J. Oper. Res. , 157 : 113 – 119 .
- Weir , T and Mond , B . 1988 . Preinvex functions in multiple-objective optimization . J. Math. Anal. Appl. , 136 : 29 – 38 .
- Yang , XQ . 1997 . Vector variational inequality and vector pseudolinear optimization . J. Optim. Theory Appl. , 95 : 729 – 734 .
- Yang , XM and Yang , XQ . 2006 . Vector variational-like inequality with pseudoinvexity . Optimization , 55 : 157 – 170 .
- Yang , XM , Yang , XQ and Teo , KL . 2001 . Characterizations and applications of prequasi-invex function . J. Optim. Theory Appl. , 110 : 645 – 668 .
- Yang , XM , Yang , XQ and Teo , KL . 2004 . Some remarks on the minty vector variational inequality . J. Optim. Theory Appl. , 121 : 193 – 201 .
- Yu , SJ and Yao , JC . 1996 . On vector variational inequalities . J. Optim. Theory Appl. , 89 : 749 – 769 .