Fixed point theorems in metric spaces and probabilistic metric spaces

DOI10.1155/S0161171296000348zbMath0843.47033OpenAlexW1978051262MaRDI QIDQ1912317

Keun Saeng Park, Yeol Je Cho, Shi Sheng Zhang

Publication date: 6 May 1996

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47469

zbMATH Keywords

Ekeland's variational principlecommon fixed point theoremsprobabilistic metric spacesCaristi's fixed point theoremcompatible mappings of type (A)

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Operator theory in probabilistic metric linear spaces (47S50)

Related Items (7)

Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces ⋮ Fixed point and best proximity point theorems for contractions in new class of probabilistic metric spaces ⋮ Weak and strong convergence theorems of fixed points for nonexpansive mappings and strongly pseudocontractive mappings in a new class of probabilistic normed spaces ⋮ Some common fixed points for \(\mathcal{JHR}\)-operator pairs in non-Archimedean Menger \(PM\)-spaces with application ⋮ Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces ⋮ On \(\varphi\)-contractions in probabilistic and fuzzy metric spaces ⋮ Probabilistic \(G\)-contractions

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