Title of article :
Enlargements of Abstract Monotone Operators Determind by Representing Functions
Author/Authors :
Eshaghi Kenari, H. Department of Mathematics and Statics - University of Birjand, Iran , Asadi, A. Department of Mathematics and Statics - University of Birjand, Iran , Miri, MR. Department of Mathematics and Statics - University of Birjand, Iran
Abstract :
In this paper, we study a new enlargement of abstract sub-differential for any IPH function. This nice property, apart from its theoretical importance, gives also the possibility to use the enlargement of abstract sub-differential in finding approximate solutions of inclusions determined by abstract sub-differentials. We define a new enlargement and observe, in the case abstract sub-differential, the relation between this new enlargement and the ε -abstract sub-differential.
Keywords :
Abstract sub-differential , Abstract monotone operator , Enlargement , ε- Abstract sub-differential
Journal title :
International Journal of Industrial Mathematics(IJIM)
