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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 83 - 102 (20page)
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The main purpose of this paper is to introduce a pair new class of primal and dual problem associated with an operator. We prove the sufficient optimality theorem, weak duality theorem and strong duality theorem for these problems. The equivalence between the generalized op- timization problems and the generalized variational inequality problems is studied in ordered topological vector space modeled in Hilbert spaces. We introduce the concept of partial differential associated (PDA)-operator, P DA- vector function and P DA-antisymmetric function to show the exis- tence of a new class of function called, (Tη;ξθ)-invex functions. We discuss first and second kind of (Tη;ξθ)-invex functions and establish their exis- tence theorems in ordered topological vector spaces.
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참고문헌 (19)
참고문헌 신청
A. Behera / 2006 / Variational Inequality Problems in H-spaces / International Journal of Mathematics and Mathematical Sciences : 1 ~ 18
A. Ben-Israel / 1986 / What is Invexity / J. Austral. Math. Soc., Ser. B 28 : 1 ~ 9
B. D. Craven / 1981 / Duality for generalized convex fractional programs in generalized concavity in optimization and economics / Academic Press : 473 ~ 489
B. D. Craven / 1985 / Invex Functions and Duality / J. Austral. Math. Soc., Ser. A 39 : 1 ~ 20
B. D. Craven / 1986 / A note on nondi erentiable symmetric duality / J. Austral. Math. Soc., Ser. B 28 : 30 ~ 35
A. Ben-Israel / 1986 / What is Invexity / J. Austral. Math. Soc., Ser. B 28 : 1 ~ 9
B. D. Craven / 1981 / Duality for generalized convex fractional programs in generalized concavity in optimization and economics / Academic Press : 473 ~ 489
B. D. Craven / 1985 / Invex Functions and Duality / J. Austral. Math. Soc., Ser. A 39 : 1 ~ 20
B. D. Craven / 1986 / A note on nondi erentiable symmetric duality / J. Austral. Math. Soc., Ser. B 28 : 30 ~ 35
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