Multivalued mappings

DOI10.1007/BF01305758zbMath0529.54013OpenAlexW4211246006MaRDI QIDQ787518

A. D. Myshkis, Yu. G. Borisovich, Boris Danilovich Gel'man, Valerii V. Obukhovskij

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01305758

zbMATH Keywords

bibliographyintegrationmeasurabilityoperationsBanach's contraction principleselectorsapproximation differentiabilityapproximative and homological methodsset-valued maps on continua and partially ordered setstypes of continuity

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Continuous maps (54C05) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

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• The Graph of the Walras Correspondence
• Matrix differential equations
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• Positive definite functions and coincidences
• Products of group-valued measures
• Some Fixed Point Theorems for Condensing Multifunctions in Locally Convex Spaces
• Relations between generalized solutions of ordinary differential equations
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• Periodic Solutions of Generalized Differential Equations
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• A selection theorem for Boolean correspondences.
• A Relaxed Picard Iteration Process for Set-Valued Operators of the Monotone Type
• Connected and Connectivity Multifunctions
• On a metrization of the hyperspace of a metric space
• C(X) is not Necessarily a Retract of 2 x
• On conditions on right hand sides of differential relations
• On a class of multi-valued vector fields in Banach spaces
• A Remark on the Direct Method of the Calculus of Variations
• Monotone operators and dentability
• Multivalued convexity and optimization: A unified approach to inequality and equality constraints
• Existence theorem for functional-differential contingent equations
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Some random fixed point theorems for strict contractions and nonexpansive mappings
• Measurable selection theorems and their application to problems of guaranteed performance
• Properties of convex sets with application to differential theory of multivalued functions
• An Existence Result for a Nonlinear Volterra Integral Equation in a Hilbert Space
• A Selection Theorem for Multifunctions
• Representation theorems for multifunctions and analytic sets
• On Fixed Points of Nonexpansive Set-Valued Mappings
• A near-selection theorem
• Asymptotic properties of sequences iteratively generated by point-to-set maps
• Leray-Schauder Principles for Condensing Multi-Valued Mappings in Topological Linear Spaces
• A theorem of Borsuk-Ulam type for multifunctions
• Monotone Invariant Solutions to Differential Inclusions
• Kneser's theorem for multivalued differential delay equations
• A Functional Analytic Proof of a Selection Lemma
• Optimal Control and the True Hamiltonian
• ON THE DIFFERENT DEFINITIONS OF THE LOWER SEMICONTINUITY, UPPER SEMICONTINUITY, UPPER SEMICOMPACITY, CLOSITY AND CONTINUTIY OF THE POINT-TO-SET MAPS
• A restart algorithm for computing fixed points without an extra dimension
• Weak Convergence of Set-Valued Functions and Control
• Continuous Dependence of Fixed Point Sets
• Generalized differential equations satisfying Carathéodory type conditions
• A degree for nonacyclic multiple-valued transformations
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