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On nonlinear multiple objective fractional programming involving semilocally type-I univex functions
Authors:S. K. Mishra  J. S. Rautela
Affiliation:(1) Research Institute of Information and System Computation Science, North National University, Yinchuan, 750021, People’s Republic of China;(2) Department of Applied Mathematics, Xidian University, Xi’an, People’s Republic of China
Abstract:
The aim of this paper is to obtain sufficient optimality conditions for a nonlinear multiple objective fractional programming problem involving semilocally type-I univex and related functions. Furthermore, a general dual is formulated and duality results are proved under the assumptions of generalized semilocally type-I univex and related functions. Our results generalize several known results in the literature.
Keywords:Fractional programming  Duality  Sufficient optimality  Convexity  Type-I univexity
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