On dualistic contractive mappingsMuhammad Nazam, Muhammad Arshad, Oscar Valero, Abdullah Shoaib (pp. 186-197)
Abstract.The purpose of the present paper is to continue the study of the xed point theory in dual partial metric spaces. We investigate xed point theorems for Kannan mappings and weakly contractive mappings in dual partial metric spaces. The counterpart theorems provided in the partial metric spaces are retrieved as particular cases of our new results. Moreover, we give some examples to elucidate that the contractive conditions in the statement of our new xed point theorems can not be replaced by those contractive conditions in the statement of the partial metric counterpart xed point theorems.
Keywords:xed point, partial metric, dual partial metric, complete, Kannan mapping, weakly contractive, quasi-metric.