Coincidence point theorems and minimization theorems in fuzzy metric spaces
β Scribed by S.S. Chang; Y.J. Cho; B.S. Lee; J.S. Jung; S.M. Kang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 532 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In this paper, some new versions of coincidence point theorems and minimization theorems for single-valued and multi-valued mappings in generating spaces of the quasi-metric family are obtained. As applications, we utilize our main theorems to prove coincidence point theorems, fixed point theorems and minimization theorems for single-valued and multi-valued mappings in fuzzy metric spaces and probabilistic metric spaces.
π SIMILAR VOLUMES
By following the approaches of Kada et al. [13], we define a family of weak quasi-metrics in a generating space of quasimetric family. By using a family of weak quasi-metrics, we prove a Takahashi-type minimization theorem, a generalized Ekeland variational principle and a general Caristi-type fixed
In the present work, we prove a coupled fixed point theorem for contractive mappings in complete fuzzy metric spaces.