{"paper":{"title":"Relations Between partial Metric Spaces and M-Metric Spaces, Caristi Kirk's Theorem in $M-$Metric Type Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"K. Abodayeh, N. Mlaiki, T. Abdeljawad, W.Shatanawi","submitted_at":"2015-12-21T13:06:18Z","abstract_excerpt":"Very recently, Mehadi et al [M. Asadi, E. Karap{\\i}nar, and P. Salimi, New extension of partial metric spaces with some fixed-point results on $M-$metric spaces] extended the partial metric spaces to the notion of $M-$metric spaces. In this article, we study some relations between partial metric spaces and $M-$metric spaces. Also, we generalize Caristi Kirki's Theorem from partial metric spaces to $M-$metric spaces, where we corrected some gaps in the proof of the main Theorem in E. Karap\\i nar [E. Karap\\i nar, Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces, Fixed Point The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06611","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}