Results 21 to 30 of about 608,522 (264)

Set-Valued Robust Mappings and Approximatable Mappings

open access: yesJournal of Mathematical Analysis and Applications, 1994
The second author recently proposed the concept of robustness of sets and functions for weakening the requirement of continuity of the objective functions and constraints in global optimization problems. In this paper the authors propose the concept of lower robustness and of lower approximation for a set-valued mapping and show that any lower ...
Shi, S.Z., Zheng, Q., Zhuang, D.M.
openaire   +1 more source

Rough semi-continuous set-valued maps

open access: yes, 2021
Summary: In this paper, we introduce the concepts of rough semi-continuity and rough continuity of set-valued maps. Then we investigate the question whether these concepts may be characterized differently or not.
AYTAR, Salih, Akcay, Fatma Gecit
openaire   +3 more sources

Attainability property for a probabilistic target in Wasserstein spaces

open access: yes, 2020
In this paper we establish an attainability result for the minimum time function of a control problem in the space of probability measures endowed with Wasserstein distance.
Cavagnari, Giulia, Marigonda, Antonio
core   +1 more source

Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

open access: yesFixed Point Theory and Applications, 2009
A best proximity pair for a set-valued map F:A⊸B with respect to a map g:A→A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex ...
R. P. Agarwal   +3 more
doaj   +1 more source

Fixed points of set-valued maps in locally complete spaces

open access: yesFixed Point Theory and Applications, 2017
We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.
Carlos Bosch   +4 more
doaj   +1 more source

An inverse mapping theorem for set-valued maps [PDF]

open access: yesProceedings of the American Mathematical Society, 1994
We prove that certain Lipschitz properties of the inverse F − 1 {F^{ - 1}} of a set-valued map F are inherited by the map ( f + F ) − 1 {(f + F)^{ - 1}} when f ...
Dontchev, A. L., Hager, W. W.
openaire   +1 more source

On reduction of differential inclusions and Lyapunov stability

open access: yes, 2019
In this paper, locally Lipschitz, regular functions are utilized to identify and remove infeasible directions from set-valued maps that define differential inclusions.
Dixon, Warren E.   +2 more
core   +1 more source

Globally proper efficiency of set-valued optimization and vector variational inequality involving the generalized contingent epiderivative

open access: yesJournal of Inequalities and Applications, 2018
In this paper, firstly, a new property of the cone subpreinvex set-valued map involving the generalized contingent epiderivative is obtained. As an application of this property, a sufficient optimality condition for constrained set-valued optimization ...
Wang Chen, Zhiang Zhou
doaj   +1 more source

On some optimization problems in not necessarily locally convex space [PDF]

open access: yesYugoslav Journal of Operations Research, 2008
In this note, by using O. Hadžić's generalization of a fixed point theorem of Himmelberg, we prove a non - cooperative equilibrium existence theorem in non - compact settings and a generalization of an existence theorem for non - compact infinite ...
Gajić Ljiljana
doaj   +1 more source

Communication and Language Profiles of Children Treated for Posterior Fossa Brain Tumors

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cognitive and language deficits are frequently reported sequelae of posterior fossa brain tumors (PFBT). Typically, delayed onset impedes prompt assessment and early intervention. This has devastating implications for quality of life.
Zara Sved   +4 more
wiley   +1 more source

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