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Fixed point theorems in symmetric spaces and applications to probabilistic spaces

✍ Scribed by Yan Shen; Min Lu

Book ID
108216424
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
435 KB
Volume
72
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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DeΓΏnitions 2-5. Let (X; d) be a symmetric space. (2) (X; d) is S-complete if for every d-Cauchy sequence {x n }, there exists x in X with lim d(x n ; x) = 0. (3) (X; d) is d-Cauchy complete if for every d-Cauchy sequence {x n }, there exists x in X with lim x n = x with respect to t(d). DeΓΏnition

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Several results concerning generalized probabilistic spaces, fixed points of mappings on topological spaces are obtained and applied to yield some new theorems on fixed points for mappings on generalized probabilistic metric spaces.