The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps

Abstract EN

The basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well-known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi-Takahashi type, Berinde-Berinde type, Du type, and other types from the class of self-maps to the class of non-self-maps in the framework of the metric fixed point theory.

We establish some fixed/coincidence point theorems for multivalued non-self-maps in the context of complete metric spaces.