Ohlin-Type Theorem for Convex Set-Valued Maps
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DOI: 10.1007/s00025-020-01292-3
Abstract: A counterpart of the Ohlin theorem for convex set-valued maps is proved. An application of this result to obtain some inclusions related to convex set-valued maps in an alternative unified way is presented. In particular… read more here.
Keywords: valued maps; set valued; theorem convex; convex set ... See more keywords
On lattice-valued maps stemming from the notion of optimal average
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0719-1
Abstract: The main purpose of this paper is to study certain lattice-valued maps through associated functional equations and inequalities. We deal with morphisms between an algebraic structure and an ordered structure. Next, we solve a separation… read more here.
Keywords: optimal average; notion optimal; valued maps; lattice valued ... See more keywords
On Set Containment Characterizations for Sets Described by Set-Valued Maps with Applications
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DOI: 10.1007/s10957-019-01605-9
Abstract: In this paper, dual characterizations of the containment of two sets involving convex set-valued maps are investigated. These results are expressed in terms of the epigraph of a conjugate function of infima associated with corresponding… read more here.
Keywords: containment characterizations; set containment; characterizations sets; valued maps ... See more keywords
Metric Regularity and Lyusternik-Graves Theorem via Approximate Fixed Points of Set-Valued Maps in Noncomplete Metric Spaces
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DOI: 10.1007/s11228-020-00553-1
Abstract: This paper considers global metric regularity and approximate fixed points of set-valued mappings. We establish a very general Theorem extending to noncomplete metric spaces a recent result by A.L. Dontchev and R.T. Rockafellar on sharp… read more here.
Keywords: valued maps; set valued; regularity; points set ... See more keywords
The 2-sphere is Wecken for n-valued maps
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DOI: 10.1007/s11784-019-0691-1
Abstract: We prove the theorem of the title. Every n-valued map $$\phi :S^2 \multimap S^2$$ϕ:S2⊸S2 of the 2-sphere has the Wecken property for n-valued maps, that is, it is n-valued homotopic to a map with $$N(\phi… read more here.
Keywords: valued maps; sphere wecken; wecken valued;
A method of returning vector-valued maps to real-valued functions on monotone operators
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DOI: 10.1016/j.topol.2018.07.004
Abstract: Abstract Let Y be an ordered topological vector space with a positive interior point e. Motivated by the Minkowski functional p e , we introduce the function q e on the interior int Y Y… read more here.
Keywords: vector; method returning; valued maps; monotone ... See more keywords
An alternative theorem for set-valued maps via set relations and its application to robustness of feasible sets
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DOI: 10.1080/02331934.2018.1426582
Abstract: Abstract This paper contains a generalized Gordan-type alternative theorem for set-valued maps which characterizes set relations without any convexity assumptions using certain evaluation functions. As a direct consequence and as a good example, we discuss… read more here.
Keywords: theorem set; valued maps; alternative theorem; set valued ... See more keywords