Enlargements of Abstract Monotone Operators Determind by Representing Functions
Subject Areas : International Journal of Industrial Mathematicsحسن اسحاقی کناری 1 , امان الله اسدی 2 , محمدرضا میری 3
1 - Department of Mathematics and Statics, University of Birjand, Birjand, Iran.
2 - Department of Mathematics and Statics, University of Birjand, Birjand, Iran.
3 - Department of Mathematics and Statics, University of Birjand, Birjand, Iran.
Keywords: Abstract monotone operator, Enlargement, ε- Abstract sub-differential, Abstract sub-differential,
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.
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