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.
"The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps." Abstr. Appl. Anal. 2013 (SI54) 1 - 9, 2013. https://doi.org/10.1155/2013/938724