In this paper, we provide coincidence point and fixed point theorems satisfying an implicit relation, which extends and generalizes the result of Gregori and Sapena, for set-valued mappings in complete partially ordered fuzzy metric spaces. Also we prove a fixed point theorem for set-valued mappings on complete partially ordered fuzzy metric spaces which generalizes results of Mihet and Tirado.
Sadeghi, Z., Vaezpour, S.M., Park, C., Saadati, R., Vetro C (2014). Set-valued mappings in partially ordered fuzzy metric spaces. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014, 1-17 [10.1186/1029-242X-2014-157].
Set-valued mappings in partially ordered fuzzy metric spaces
VETRO, Calogero
2014-01-01
Abstract
In this paper, we provide coincidence point and fixed point theorems satisfying an implicit relation, which extends and generalizes the result of Gregori and Sapena, for set-valued mappings in complete partially ordered fuzzy metric spaces. Also we prove a fixed point theorem for set-valued mappings on complete partially ordered fuzzy metric spaces which generalizes results of Mihet and Tirado.
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