Some random fixed point theorems for strict contractions and nonexpansive mappings

DOI10.1016/0362-546X(78)90009-3zbMath0382.60068OpenAlexW1981510472MaRDI QIDQ4160180

Heinz W. Engl

Publication date: 1978

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(78)90009-3

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stochastic analysis (60H99)

Related Items

Random region function and its applications, On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces, The random version of the Kirzbraun-Valentine extension theorem, Existence of measurable optima in stochastic nonlinear programming and control, Generalized inverses of random linear operators in Banach spaces, A general stochastic fixed-point theorem for continuous random operators on stochastic domains, Stochastic projectional schemes for random linear operator equations of the first and second kinds, A principle of randomization for coincidence points with applications, Convergence of approximate solutions of nonlinear random operator equations with non-unique solutions, Multivalued mappings

Cites Work

• Measurable relations
• Fixed point theorems in probabilistic analysis
• Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain chebyshef-centers
• Sur les multi-applications mesurables
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