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(28 citation statements)

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“…He gave a modified version of Banach's contraction principle, more suitable in this context. Many authors followed his idea and gave their contributions in that sense, see for example [5][6][7]9,10,16,17,24,25,28,32]. Recently, Aydi, Abbas and Vetro [8] introduced the concept of a partial Hausdorff metric and extended the well known Nadler's fixed point theorem to such spaces.…”

confidence: 99%

“…Subsequently, many authors considered the generalizations of this type fixed point theorem; see, for example, [2,3,4,5,6] and the references therein.…”

confidence: 99%

“…He presented a modified version of the Banach contraction principle, more suitable in this context, see also [3,6]. In fact, the partial metric spaces constitute a suitable framework to model several distinguished examples of the theory of computation and also to model metric spaces via domain theory, see [4,5,7,10,11,12,13,16,21,22]. In this direction, Aydi et al [9] introduced the concept of a partial Hausdorff metric and extended Nadler's fixed point theorem in the setting of partial metric spaces.…”

confidence: 99%

“…In fact, the partial metric spaces offer a suitable framework to model several distinguished examples of the theory of computation and also to model metric spaces via domain theory (e.g. [4,5,7,8,18,19,20,21,22,23,24]). In this direction, Aydi et al [1] introduced the concept of a partial Hausdorff metric and extended Nadler's fixed point theorem to the setting of partial metric spaces.…”

confidence: 99%

“…In the last decades, the Banach's theorem [6] has been extensively studied and generalized on many settings, see for example [7,9,10,13,14,15,16,17,20,25,27,32,34,35]. Partial metric space is a generalized metric space introduced by Matthews [19] in which each object does not necessarily have to have a zero distance from itself.…”

confidence: 99%