A fixed point theorem is obtained for a monotone self-map in a 0-complete ordered partial metric space under Hardy-Rogers-type contractive condition. This result improves some recently obtained ones, in the sense that weaker conditions are used. An example shows how this result can be used when the corresponding result in standard metric cannot. The second theorem is concerned with two weakly isotone increasing self-mappings in ordered partial metric spaces. A common fixed point result is obtained without any commutativity or compatibility assumptions. MSC: 47H10, 54H25.
No takes yet. Share an insight, caveat, or question.
Nashine et al. (2012) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: