Vector optimization with cone semilocally preinvex functions
نویسندگان
چکیده
منابع مشابه
Multiple objective fractional programming involving semilocally type I-preinvex and related functions
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, ...
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We consider a nonlinear fractional programming problem with inequality constraints, where the functions involved are ρ-semilocally b-preinvex, ρ-semilocally explicitly b-preinvex, ρ-semilocally quasi b-preinvex, ρ-semilocally pseudo bpreinvex and ρ-semi-locally strongly pseudo b-preinvex functions. Necessary optimality conditions are obtained in terms of the right derivative of a function along...
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*Correspondence: [email protected] 1Department of Mathematics, Hanshan Normal University, Chaozhou, Guangdong 521041, China Full list of author information is available at the end of the article Abstract With the equivalent relationships between the G-generalized invexities and general invexities on the hand, we present two characterizations for G-preinvexity; we also discuss the relationships...
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Convexity and generalized convexity play a central role in mathematical economics, engineering, and optimization theory. Therefore, the research on convexity and generalized convexity is one of the most important aspects in mathematical programming (see [1–4, 6–11] and the references therein). Weir and Mond [7] and Weir and Jeyakumar [6] introduced the definition of preinvexity for the scalar f...
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ژورنال
عنوان ژورنال: An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
سال: 2013
ISSN: 2146-5703,2146-0957
DOI: 10.11121/ijocta.01.2014.00162