Fixed and periodic points of local contraction mappings on probabilistic metric spaces

DOI10.1007/BF01735146zbMath0334.60004OpenAlexW2040949060MaRDI QIDQ4101220

Robert H. Kasriel, G. L. jun. Cain

Publication date: 1976

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01735146

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Uniform structures and generalizations (54E15) Probability theory on algebraic and topological structures (60B99)

Related Items

Coincidence point theorems in probabilistic metric spaces with a convex structure ⋮ Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces ⋮ Common fixed point theorems in Menger spaces ⋮ Common fixed point theorems in probabilistic metric spaces ⋮ Fixed point theorems of local contraction mappings on Menger spaces ⋮ FIXED POINTS OF CONTRACTIVE MAPPINGS ON PROBABILISTIC BANACH SPACES ⋮ Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces ⋮ Fixed point theorems in probabilistic analysis ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multivalued generalizations of probabilistic contractions ⋮ Fixed point theorems for multivalued mappings in some classes of fuzzy metric spaces

Cites Work

• Statistical metric spaces
• The metrization of statistical metric spaces
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• New Method for Expansion and Contraction Maps in Uniform Spaces
• An Extension of Banach's Contraction Principle
• On Fixed and Periodic Points Under Contractive Mappings
• On Contractive Mappings in Uniform Spaces
• Fixed points of contraction mappings on probabilistic metric spaces
• On Mappings Which Do Not Increase Small Distances
• Statistical Metrics
• Fixed point theorems for nonexpansive mappings