1. Some Optimality and Duality Results for an Efficient Solution of Multiobjective Nonlinear Fractional Programming Problem.
- Author
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Bhatnagar, Paras and Rajan, Sanjeev
- Subjects
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NONLINEAR programming , *PRODUCTION scheduling , *CONVEX domains , *VECTOR analysis , *DYNAMIC programming - Abstract
Kaul and Kaur [7] obtained necessary optimality conditions for a non-linear programming problem by taking the objective and constraint functions to be semilocally convex and their right differentials at a point to be lower semi-continuous. Suneja and Gupta [12] established the necessary optimality conditions without assuming the semilocal convexity of the objective and constraint functions but their right differentials at the optimal point to be convex. Suneja and Gupta [13] established necessary optimality conditions for an efficient solution of a multiobjective non-linear programming problem by taking the right differentials of the objective functions and constraint functions at the efficient point to be convex. In this paper we obtain some results for a properly efficient solution of a multiobjective non-linear fractional programming problem involving semilocally convex and related functions by assuming generalized Slater type constraint qualification. [ABSTRACT FROM AUTHOR]
- Published
- 2012