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A class of nonsmooth fractional multiobjective optimization problems

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Abstract

This paper focuses on the study of optimality conditions and duality in nonsmooth fractional multiobjective optimization problems. Applying some advanced tools of variational analysis and generalized differentiation, we establish necessary optimality conditions for (weakly) efficient solutions of a fractional multiobjective optimization problem involving inequality and equality constraints. Sufficient optimality conditions for such solutions to the considered problem are also obtained by means of (strictly) generalized convex-affine functions. In addition, we address a dual problem to the primal one and examine duality relations between them.

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Acknowledgments

The authors are grateful to the referees for the valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics and Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Ho Chi Minh City, Vietnam

    Thai Doan Chuong

  2. Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Korea

    Do Sang Kim

Authors
  1. Thai Doan Chuong
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  2. Do Sang Kim
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Correspondence to Do Sang Kim.

Additional information

This work was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education Science and Technology (No. 2010-0012780) and by the Vietnam National Foundation for Science and Technology Development (NAFOSTED: No. 101.01-2014.17).

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Chuong, T.D., Kim, D.S. A class of nonsmooth fractional multiobjective optimization problems. Ann Oper Res 244, 367–383 (2016). https://doi.org/10.1007/s10479-016-2130-7

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  • DOI: https://doi.org/10.1007/s10479-016-2130-7

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