Fixed Point Theory for Study the Controllability of Boundary Control Problems in Reflexive Banach Spaces
Controllability
Reflexive Banach Space
Opial’s condition
Normal Structure
Semigroup Theory
In this paper, we extend the work of our proplem in uniformly convex Banach spaces using Kirk fixed point theorem. Thus the existence and sufficient conditions for the controllability to general formulation of nonlinear boundary control problems in reflexive Banach spaces are introduced. The results are obtained by using fixed point theorem that deals with nonexpanisive mapping defined on a set has normal structure and strongly continuous semigroup theory. An application is given to illustrate the importance of the results.
