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Common fixed point theorems and variational principle in generating spaces of quasi-metric family

✍ Scribed by J.S. Jung; S.S. Chang; Y.J. Cho; B.S. Lee; S.M. Kang

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 741 KB
Volume: 102
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00133-4

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✦ Synopsis

In this paper, we introduce the concept of order relation in generating spaces of quasi-metric family and establish common fixed point theorems for set-valued mappings in this spaces. As consequences, we also give the variational principle, fixed point theorems for single-valued and set-valued mappings and equivalence between them in complete generating spaces of quasi-metric family. Some applications of these results to fuzzy metric spaces in sense of Kaleva and Seikkala (1984) and probabilistic metric spaces are presented.

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