Fixed point results in double controlled quasi metric type spaces

Abstract

Abdeljawad et.al (Mathematics, 6(12), 320, 2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended $ b $-metric spaces. In this paper, we introduce double controlled quasi metric type spaces and obtain common fixed points of multivalued mappings satisfying rational type, Reich type and Kannan type contractions in double controlled quasi metric type spaces. Some concrete examples are also provided to illustrate the superiority of our results over other existing results.