Generalized Univex Functions in Nonsmooth Multiobjective Optimization |
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Authors: | Pallavi Kharbanda Divya Agarwal Deepa Sinha |
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Institution: | 1. Centre for Mathematical Sciences, Banasthali University, Rajasthan, 304022, India 2. Department of Applied Sciences and Humanities, itm University, Gurgaon, 122017, India 3. Department of Mathematics, South Asian University, New Delhi, 110021, India
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Abstract: | In this paper, we have considered a nonsmooth multiobjective optimization problem where the objective and constraint functions involved are directionally differentiable. A new class of generalized functions (d???ρ???η???θ)-type I univex is introduced which generalizes many earlier classes cited in literature. Based upon these generalized functions, we have derived weak, strong, converse and strict converse duality theorems for mixed type multiobjective dual program in order to relate the efficient and weak efficient solutions of primal and dual problem. |
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