Are fixed point theorems in G-metric spaces an authentic generalization of their classical counterparts?

摘要: Many G-metric fixed point results can be retrieved from classical ones given in the (quasi-)metric framework. Indeed, many G-contractive conditions reduced to a quasi-metric counterpart assumed statement of celebrated results. In this paper, we show that existence points for most part aforesaid is guaranteed by very general result Park, even when condition one which not considered as contractive any result. Moreover, all those cases contractivity raised, uniqueness also derived it. Despite our finding, there are few literature whose cannot counterpart. these cases, however, have seen Park’s applies again analyzed, and techniques become essential yield point, and, even, check self-mapping under study satisfies some requirements Park Therefore, it seems natural encourage researchers field only new direction, i.e., applied.