Abstract
In this paper, we have obtained fixed point results for alpha - psi -locally contractive type mappings in a closed ball in left K -sequentially complete and in right K -sequentially complete dislocated quasi metric spaces. Moreover the mappings under consideration are alpha-admissible with respect to eta. We have used conditions weaker than those of Samet et al. [Nonlinear Anal. 75:2154-2165, (2012)]. As an application, we have derived some new fixed point theorems for psi - graphic contractions defined on dislocated quasi metric space endowed with a graph as well as ordered dislocated metric space. Some comparative examples are constructed which illustrate the superiority of our results. In the process we have generalized several well known, recent and classical results from the literature.