Continuous Optimization Optimality and duality for a multi-objective programming problem involving generalized d-type-I and related n-set functions q

In this paper, we introduce several generalized convexity for a real-valued set function and establish optimality and duality results for a multi-objective programming problem involving generalized d-type-I and related n-set functions. 2005 Elsevier B.V. All rights reserved.

[1]  Vasile Preda,et al.  On optimality and duality for multiobjective programming problems involving generalized d-type-I and related n-set functions , 2003 .

[2]  Vasile Preda,et al.  On Duality for Minmax Generalized B-vex Programming Involving n-set Functions , 2002 .

[3]  Vasile Preda,et al.  Optimality and Wolfe Duality for Multiobjective Programming Problems Involving n-set Functions , 2001 .

[4]  Shashi Kant Mishra On Multiple-Objective Optimization with Generalized Univexity , 1998 .

[5]  Optimality and Duality for Multiobjective Fractional Programming Involving n-Set Functions* , 1998 .

[6]  Davinder Bhatia,et al.  A Note on Fractional Minmax Programs Containingn-Set Functions , 1997 .

[7]  Duality for Multiobjective B-vex Programming Involving n-Set Functions , 1996 .

[8]  Vasile Preda,et al.  On Duality of Multiobjective Fractional Measurable Subset Selection Problems , 1995 .

[9]  R. Kaul,et al.  Optimality criteria and duality in multiple-objective optimization involving generalized invexity , 1994 .

[10]  Lai-Jiu Lin,et al.  On the optimality of differentiable nonconvex n-set functions☆ , 1992 .

[11]  Vaithilingam Jeyakumar,et al.  On generalised convex mathematical programming , 1992, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

[12]  R. N. Mukherjee Generalized convex duality for multiobjective fractional programs , 1991 .

[13]  Y. Ye,et al.  D-Invexity and optimality conditions , 1991 .

[14]  Lai-Jiu Lin,et al.  On the optimality conditions of vector-valued n-set functions☆ , 1991 .

[15]  G. J. Zalmai Optimality conditions and duality for multiobjective measurable subset selection problems , 1991 .

[16]  V. Preda,et al.  Oil minmax programming problems containing n-set functions , 1991 .

[17]  Lai-Jiu Lin Duality theorems of vector-valued n-set functions , 1991 .

[18]  G. J. Zalmai,et al.  Sufficiency criteria and duality for nonlinear programs involving n-set functions , 1990 .

[19]  Lai-Jiu Lin,et al.  Optimality of differentiable, vector-valued n-set functions☆ , 1990 .

[20]  G. J. Zaimai Optimality conditions and duality for constrained measurable subset selection problems with minmax objective functions , 1989 .

[21]  H. W. Corley,et al.  Optimization Theory for n-Set Functions , 1987 .

[22]  Wei-Shen Hsia,et al.  ProperD-solutions of multiobjective programming problems with set functions , 1987 .

[23]  Tan-Yu Lee,et al.  Epigraphs of convex set functions , 1986 .

[24]  Wei-Shen Hsia,et al.  On multiple objective programming problems with set functions , 1985 .

[25]  Robert J. T. Morris,et al.  Optimal constrained selection of a measurable subset , 1979 .

[26]  J. Rosenmüller,et al.  Extreme convex set functions with finite carrier: General theory , 1974, Discret. Math..

[27]  K. Schittkowski,et al.  NONLINEAR PROGRAMMING , 2022 .