Abstract.We generalize a result of Feng and Liu, on multi-valued contractive mappings, for studying the relationship between fixed point sets and homotopy fixed point sets. The presented results are ...

In this paper, we improve Caristi-Jachymski-SteinJr and Banach-Caristi type fixed point theorems by relaxing the strong continuity assumption of the mapping with some weaker continuity notions. As an ...

Ever seen the little ‘You Are Here’ dot on a map of the airport, or the mall, or any other structure? That’s a demonstration of the Brouwer Fixed-Point Theorem. Violently shaken martini shakers and ...