Also in Section 2 we consider a class of maps which contain the Kakutani maps.
A class of maps (f:Xto X) is denoted by (C X)).
Given a class of maps, denotes the set of maps (nonempty subsets of ) belonging to, and the set of finite compositions of maps in.
Also Karapinar et al. [42] proved a fixed point theorem on a metric space for a class of maps that satisfy the Ćirić-type contractive condition.
The procedure of formally inverting a class of maps in a category is known as localization, and it is rather non-trivial.
In this article, we obtain some fixed and common fixed point theorems for a class of maps on normed Boolean vector spaces satisfying the property (E.A) without using continuity.
This suggestion was also due to the fact that it has not been established that if a multivalued map S belongs to a class of maps, then (P_{S}) necessarily belongs to the same class of maps and that the fixed point set of S need not be strict.
A class of maps is defined by the following properties: (i) contains the class of single-valued continuous functions; (ii)each is upper semicontinuous and compact valued; (iii)for any polytope, has a fixed point, where the intermediate spaces of composites are suitably chosen for each.
We will give such a class of maps in the following lemma.
At the plus ends, a class of MAPs termed the plus end tip tracking proteins (+TIPs) (Galjart, 2010) constitute the key players of the microtubule dynamics characterized by four parameters – velocities of growth and shrinkage, and frequencies of catastrophe and rescue, Vg, Vs, Fcat, Fres, respectively (Walker et al., 1988).
