A reversible cellular automaton is one whose evolution, and therefore the entire past history of any con guration, can be uniquely deciphered. There are degrees of reversibility, depending upon whether the con gurations considered are arbitrary, periodic, or quiescent at in nity; which are subsidiary to more general questions of injectivity and surjectivity, within a general perspective of the ...

In this paper a new class of mappings, known as locally λ-strongly φ-accretive mappings, where λ and φ have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly φ-accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally λ-stron...

In this paper we begin the study the dynamical behavior of non-uniform cellular automata and compare it to the behavior of “classical” cellular automata. In particular we focus on surjectivity and equicontinuity.

In this paper, we present an example in which the sum of two maximal abstract monotone operators is maximal. Also, we shall show that the necessary condition for Rockafellar’s surjectivity which was obtained in ([19], Theorem 4.3) can be sufficient.