Abstract

In 1970, Schirmer provided some results about topological properties of the fixed points set of multifunctions. Later, some authors continued this review by providing different conditions. In 2008, 2009 Sintamarian proved some results on absolute retractivity of the common fixed points set of two multivalued operators. In this paper we shall present some new results on absolute retractivity of tripled fixed points set for multifunctions of the form $F:X\times X\times X\rightarrow P_{b,cl}(X)$.

Keywords: absolute retract; tripled fixed points set; multifunction.

MSC: 47H10, 54H25

Pages:  277--286     

Volume  68 ,  Issue  4 ,  2016