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Multiple objective fractional programming involving semilocally type I-preinvex and related functions |
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| Authors: | SK Mishra SY Wang KK Lai |
| Institution: | a Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar 263 145, India b Institute of Systems Sciences, Academy of Mathematics, Chinese Academy of Sciences, Beijing 100080, China c Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Hong Kong d College of Business Administration, Hunan University, Changshu, China |
| Abstract: | Sufficient optimality conditions are obtained for a nonlinear multiple objective fractional programming problem involving η-semidifferentiable type I-preinvex and related functions. Furthermore, a general dual is formulated and duality results are proved under the assumptions of generalized semilocally type I-preinvex and related functions. Our result generalize the results of Preda V. Preda, Optimality and duality in fractional multiple objective programming involving semilocally preinvex and related functions, J. Math. Anal. Appl. 288 (2003) 365–382] and Stancu-Minasian I.M. Stancu-Minasian, Optimality and duality in fractional programming involving semilocally preinvex and related functions, J. Inform. Optim. Sci. 23 (2002) 185–201]. |
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