The Australian Journal of Mathematical Analysis and Applications
In this paper, we introduce para-chaotic tuples of operators and we give some relations between para-chaoticity and Hypercyclicity Criterion for a tuple of operators.
On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋∶=𝐶([𝑎,𝑏],ℝ𝑛). Later on, we give some examples of applications of this type of results.
On a Local Stability of the Jensen Functional Equation
The problem of s tab i l i t y of Cauohy's femotional equation on a r e s t r i c t domain D in R has a positive answer [ 5 ] . In this paper -we shal l show that CauOhy's functional equation and Jensen's funotional equation on a res t r io t domain D being some subset of ft" are stable . Moreover, we shal l use a suoh type result to give a positive answer to a problem of K. Nikodem ( [ 3 ] , [4]) . Let (X, ||*||) be a real Banach space and let D be a subset of X. We say that a function f i D — X i s ¿-addit ive (t3>0 i s f ixed) in D i f f