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HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX MULTIOBJECTIVE FRACTIONAL SEMI-INFINITE PROGRAMMING WITH SUPPORT FUNCTIONS
kalpana shukla
Keywords:semi-infinite multiobjectivefractional programming;support function;Mond Weir dual;Schaible type dual; higher order (phi,rho,alpha)-type I functions.
Abstract:
      In the paper, a new class of multiobjective fractional semi-infinite programming problems with support functions in the objective and constraint functions is considered. For such vector optimization problems, higher order dual problems in the sense of Mond-Weir and Schaible are defined. Then, various duality results between the considered multiobjective fractional semi-infinite programming problem and its higher order dual problems mentioned above are established under assumptions that the involved functions are higher order (phi,rho,alpha)-type I functions.