References
- Allali , K and Amahroq , T . 1997 . Second order approximations and primal and dual necessary optimality conditions . Optimization , 3 : 229 – 246 .
- Amahroq , T and Gadhi , N . 2001 . On the regularity condition for vector programming problems . Journal of Global Optimization , 21 : 435 – 443 .
- Amahroq , T and Taa , A . 1997 . On Lagrange-Kuhn-Tucker multipliers for multiobjective optimization problems . Optimization , 41 : 159 – 172 .
- Censor , T . 1977 . Pareto optimality in multiobjective problems . Applied Mathematics and Optimization , 4 : 41 – 59 .
- Ciligot-Travain , M . 1994 . On Lagrange–Kuhn–Tucker multipliers for Pareto optimization problem . Numerical Functional Analysis and Optimization , 15 : 689 – 693 .
- Clarke , FH . 1983 . Optimization and Nonsmooth Analysis , New York : Wiley-Interscience .
- Craven , BD , Ralph , D and Glover , BM . 1995 . Small convex-valued subdifferentials in mathematical programming . Optimization , 32 : 1 – 21 .
- Demyanov , VF and Jeyakumar , V . 1997 . Hunting for a smaller convex subdifferential . Journal of Global Optimization , 10 : 305 – 326 .
- Giorgi , G and Guerraggio , A . 1988 . The notion of invexity in vector optimization: smooth and nonsmooth case , Eds , Edited by: Crouzeix , JP , Martinez-Legaz , JE and Volle , M . 389 – 405 . Dordrecht, Holland : Kluwer Academic Publishers . Generalized Convexity Generalized Monotonicity Recent Results
- Hiriart-Urruty , J.B . 1979 . Tangent cones, generalized gradients and mathematical programming in Banach spaces . Mathematical Operational Research , 4 : 79 – 97 .
- Hiriart-Urruty , JB and Lemaréchal , C . 1993 . Convex Analysis and Minimization Algorithms I , Berlin, Germany : Springer Verlag .
- Jeyakumar , V and Luc , DT . 1988 . Approximate Jacobian matrices for continuous maps and C1-Optimization . SIAM Journal on Control and Optimization , 36 : 1815 – 1832 .
- Jeyakumar , V and Luc , DT . 1999 . Nonsmooth calculus, minimality, and monotonicity of convexificators . Journal of Optimization Theory and Applications , 101 : 599 – 621 .
- Jeyakumar , V , Luc , DT and Schaible , S . 1998 . Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians . Journal of Convex Analysis , 5 : 119 – 132 .
- Jourani , A and Thibault , L . 1988 . Approximations and metric regularity in mathematical programming in Banach spaces . Mathematics of Operations Research. , 18 : 73 – 96 .
- Kim , MH and Lee , GM . 2001 . On duality theorems for nonsmooth Lipschitz optimization problems . Journal of Optimization Theory and Application , 110 : 669 – 675 .
- Liang , ZA , Huang , HX and Pardalos , PM . 2001 . Optimality conditions and duality for a class of nonlinear fractional programming problems . Journal of Optimization Theory and Applications , 110 : 611 – 619 .
- Lin , JG . 1976 . Maximal vectors and multiobjective optimization . Journal of Optimization Theory and Application , 18 : 41 – 64 .
- Minami , H . 1983 . Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on Banach space . Journal of Optimization Theory and Application , 41 : 451 – 461 .
- Mordukhovich , BS and Shao , Y . 1995 . On nonconvex subdifferential calculus in Banach spaces . Journal of Convex Analysis , 2 : 211 – 228 .
- Penot , JP . 1988 . On the mean-value theorem . Optimization , 19 : 147 – 156 .
- Schaible , S . 1995 . “ Handbook of Global Optimization ” . In Fractional programming , Eds , Edited by: Horst , R and Pardalos , PM . 495 – 608 . Dordrecht, Netherlands : Kluwer Academic Publishers .
- Treiman , JS . 1995 . The linear nonconvex generalized gradient and Lagrange multipliers . SIAM Journal on Optimization , 5 : 670 – 680 .