ABSTRACT

Chapter 4 studies some common fixed point results using w-distances. Jungck described the interdependence of common fixed points and commuting mappings, and his results allow us to investigate common fixed point theorems for commuting and noncommuting pairs of mappings satisfying contractive conditions. Generalizations of the Jungck's contraction condition have extensively been used to study common fixed points of contractive mappings. The results of this chapter were mainly obtained by Ume and Kim, Ili´c and Rakočević, Abbas, Ili´c and Khan, Mohanta, Kocev and Rakočević.