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

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

• CONTROLLABILITY OF NONLINEAR BOUNDARY VALUE CONTROL 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 boundary value control system in uniformly convex Banach spaces are established. The results are obtained by using semigroup theory ''C₀-semigroup'' 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.

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