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In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. Two classes of functions, namely, (h,φ)-pseudoinvex and (h,φ)-quasi-invex, are defined for a vector function. By utilizing these two classes of functions, some dual theorems are established for conditionally properefficient solution in (h,φ)-multiobjective programming problems

journal of applied mathematics

Duality of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>h</mml:mi><mml:mo>,</mml:mo><mml:mi>φ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>-Multiobjective Programming Involving Generalized Invex Functions

Duality of(h,φ)-Multiobjective Programming Involving Generalized Invex Functions