\(L^0\)-convex compactness and random normal structure in \(L^0(\mathcal{F}, B)\)
DOI10.1007/S10473-020-0211-9zbMath1499.46009arXiv1904.03607OpenAlexW3016452901MaRDI QIDQ2153149
Publication date: 1 July 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.03607
fixed point theorem\(L^0\)-convex compactnesscomplete random normed modulesrandom nonexpansive operatorsrandom normal structure
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10) Stochastic integrals (60H05) Topological linear spaces and related structures (46A99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An \(L^0(\mathcal F,\mathbb R)\)-valued function's intermediate value theorem and its applications to random uniform convexity
- The relations among the three kinds of conditional risk measures
- The James theorem in complete random normed modules
- Permanence properties of normal structure
- Relations between some basic results derived from two kinds of topologies for a random locally convex module
- Random strict convexity and random uniform convexity in random normed modules
- Normal structure in Bochner \(L^ p\)-spaces
- Random integral equations
- Radon-Nikodým property of conjugate Banach spaces and \(w^*\)-equivalence theorems of \(w^*-\mu\)-measurable functions
- Extension theorems of continuous random linear operators on random domains
- Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations
- On some basic theorems of continuous module homomorphisms between random normed modules
- The relation of Banach--Alaoglu theorem and Banach--Bourbaki--Kakutani--Šmulian theorem in complete random normed modules to stratification structure
- Some Random Fixed Point Theorems for Condensing and Nonexpansive Operators
- Random equations
- Reducing random transforms
- Random Approximations and Random Fixed Point Theorems for Non-Self-Maps
- Fixed point theorems in probabilistic analysis
- Survey of Measurable Selection Theorems
- On random convex analysis
- L0-convex compactness and its applications to random convex optimization and random variational inequalities
- Random convex analysis (II): Continuity and subdifferentiability theorems in <italic>L</italic><sup>0</sup>-pre-barreled random locally convex modules
- Random convex analysis (I): Separation and Fenchel-Moreau duality in random locally convex modules
- Zum Prinzip der kontraktiven Abbildung
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Weakly Compact Sets
- A Fixed Point Theorem for Mappings which do not Increase Distances
This page was built for publication: \(L^0\)-convex compactness and random normal structure in \(L^0(\mathcal{F}, B)\)