Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (1): 165-171.

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Characterizations of DICR Functions and Applications to Optimization Problems

Shigui Ma,Jun Li*()   

  1. Department of Mathematics and Information, China West Normal University, Sichuan Nanchong 637009
  • Received:2017-09-20 Online:2019-02-26 Published:2019-03-12
  • Contact: Jun Li E-mail:junli@cwnu.edu.cn; junli1026@163.com
  • Supported by:
    the NSFC(11371015);the NSFC(11871059);the Innovation Team of Department of Education of Sichuan Province(16TD0019);the Meritocracy Research Funds of China West Normal University(17YC379)

Abstract:

In this paper, we study DICR functions in topological vector spaces. We introduce support sets and subdifferential of DICR functions, discuss the relations between support sets and subdifferential. We also investigate maximal elements of the set involving strictly DICR functions and present necessary and sufficient conditions for the global minimum of the difference of two strictly DICR functions.

Key words: DICR functions, Support set, Subdifferential, Maximal elements, Global minimum

CLC Number: 

  • O221
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