## Adrian Petruşel, Gabriela Petruşel, On Reich’s strict fixed point theorem for multi-valued operators in complete metric spaces

Full Text: PDF
DOI: 10.23952/jnva.2.2018.1.08
Volume 2, Issue 1, 1 April 2018, Pages 103-112

Abstract. The aim of this paper to present an extended version of Reich’ strict fixed point theorem for multi-valued operators. Under the classical assumptions considered by Simeon Reich in 1972 (i.e., the completeness of the metric space $(X,d)$ and the $\delta$-contraction type condition on a self multi-valued operator on $X$ having nonempty and bounded values) several other conclusions with respect to the strict fixed point problem are presented.