期刊文献+

强伪不变凸性和强伪不变单调性的等价性(英文)

The Equivalence about Strongly Pseudoinvexity and Strongly Invariant Pseudomonotonicity
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摘要 In this paper, the equivalence is established about strongly pseudoinvexity of function and invariant pseudomonotonicity of corresponding gradient map under some suitable conditions. In this paper, the equivalence is established about strongly pseudoinvexity of function and invariant pseudomonotonicity of corresponding gradient map under some suitable conditions.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第4期608-612,共5页 数学季刊(英文版)
基金 Supported by the National Science Foundation of China(10831009) Supported by the Special Fund of Chongqing Key Laboratory(CSTC) Supported by the Education Committee Research Foundation of Chongqing(KJ110625)
关键词 strictly pseudoinvexity strongly pseudoinvexity strictly invariant pseudomonotonicity strongly invariant pseudomonotonicity strictly pseudoinvexity strongly pseudoinvexity strictly invariant pseudomonotonicity strongly invariant pseudomonotonicity
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参考文献10

  • 1MANGASARIAN O L. Nonlinear Programming[M]. New York: McGraw, 1969.
  • 2WEIR T, MOND B. Preinvex functions in multi-objective optimization[J]. Journal of Mathematical Analysis and Applications, 1988, 136: 29-38.
  • 3WEIR T, JEYAKUMAR V. A class of nonconvex functions and mathematical programming[J]. Bulletin of Australian Mathematical Society, 1988, 38: 177-189.
  • 4PINI R. Invexity and generalized convexity[J]. Optimization, 1991, 22: 513-525.
  • 5KARAMARDIAN S, SCHAIBLE S. Seven kinds of monotone maps[J]. Journal of Optimization Theory and Applications, 1990, 66(1): 37-46.
  • 6HADJISAVVAS N, SCHAIBLE S. On strong pseudomonotonicity and (semi)strict quasimonotonicity[J]. Journal of Optimization Theory and Applications, 1993, 79: 139-155.
  • 7RUIZ-GARZON G, OSUNA-GOMEZ R, RUFIAN-LIZANA A. Generalized invex monotonicity[J]. European Journal of Operational Research, 2003, 144: 501-512.
  • 8YANG Xin-min, YANG Xiao-qi, TEO K L. Criteria for generalized invex monotonicities[J]. European Jour- nal of Operational Research, 2005, 164: 115-119.
  • 9MOHAN S R, NEOGY S K. On invex sets and preinvex functions[J]. Journal of Mathematical Analysis and Applications, 1995, 189: 901-908.
  • 10YANG Xin-min, YANG Xiao-qi, TEO K L. Characterizations and applications of prequasi-invex functions[J]. Journal of Optimization Theory and Applications, 2001, 110: 645-668.

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