Fixed Point Theory in Bitopological Spaces PDF

Keywords

Fixed Point Theory, topology, continuous functions

Abstract

The relation between any bitopological space and its least upper bound topology is studied. A new type of pairwise continuous functions between bitopological spaces is presented as well. Then, we use the concept of pairwise continuous functions to introduce the concept of pairwise fixed-point property, pairwise retraction functions and pairwise contraction functions between bitopological spaces. We also obtain some generalizations of some well-known results concerning fixed point theory for a single topological space.