Alofi, Abdulaziz Saleem MoslemAl-Mazrooei, Abdullah EqalLeyew, Bahru TsegayeAbbas, Mujahid2017-10-072017-10-072017Alofi, A.S.M., Al-Mazrooei, A.E., Leyew, B.T. & Abbas, M. 2017, 'Common fixed points of alpha-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space', Journal of Nonlinear Sciences and Applications, vol. 10, pp. 3456-3476.2008-1898 (print)2008-1901 (online)10.22436/jnsa.010.07.10http://hdl.handle.net/2263/62598In this paper, we introduce the concept of -dominated multivalued mappings and establish the existence of common fixed points of such mappings on a closed ball contained in left/right K-sequentially complete dislocated quasi b-metric spaces. These results improve, generalize, extend, unify, and complement various comparable results in the existing literature. Our results not only extend some primary results to left/right K-sequentially dislocated quasi b-metric spaces but also restrict the contractive conditions on a closed ball only. Some examples are presented to support the results proved herein. Finally as an application, we obtain some common fixed point results for single-valued mappings by an application of the corresponding results for multivalued mappings satisfying the contractive conditions more general than Banach type and Kannan type contractive conditions on closed balls in a left K-sequentially complete dislocated quasi b-metric space endowed with an arbitrary binary relation.en© 2017 All rights reserved.K-Sequentially completeDislocated quasi b-metric spaces-Dominated multivalued mappingClosed ballCommon fixed pointArticle