Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (3): 436-443.

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Characterization and Applications of Semi-E-preinvex Functions 

  

  1. 1. College of Science, Shanghai University2. College of Mathematics and Statistics, Chongqing Technology and Business University3. School of Science, Chongqing Jiaotong University4. Academy of Fine Arts, Chongqing Normal University
  • Received:2008-05-08 Online:2010-09-30 Published:2023-05-29
  • About author:QUAN Jing(1975- ), male, native of Chongqing, M.S.D., engages in global optimization theory.
  • Supported by:
     Supported by Key Disciplines of Shanghai Municipality(Operations Research and Cybernetics)(S30104)； Supported by Shanghai Leading Academic Discipline Project(J50101)； Supported by National Science Foundation Project of CQCSTC(2009BB3372)；

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Abstract: A class of sets called E-invex sets and a class of functions called E-preinvex functions, semi-E-preinvex functions and generalized semi-E-preinvex functions are introduced. They are the generalizations of E-convex sets, E-convex functions and semi-E-convex functions respectively, also the generalizations of invex sets and preinvex functions. Furthermore some optimality results of mathematical programming problems involved semi-E-preinvex functions and generalized semi-E-preinvex functions are obtained. 

Key words: E-invex sets, E-preinvex functions, semi-E-preinvex functions

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