• CONTROLLABILITY OF NONLINEAR SYSTEMS IN UNIFORMLY CONVEX BANACH SPACE USING KIRK FIXED POINT THEOREM

NASEIF J. AL-JAWARI, ABDULRHMAN H. NJEM*

Abstract


In this paper, sufficient conditions for controllability of nonlinear system in  uniformly convex Banach spaces are established. The results are obtained by using strongly continuous semigroup theory and some techniques of nonlinear functional  analysis, such as, Kirk fixed point theorem. Moreover example is provided to illustrate the theory.

Keywords


Controllability, Uniformly convex Banach space, Semigroup theory, Kirk fixed point theorem.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2021 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter