Results 1 to 10 of about 105,849 (264)

Best Proximity Pairs Theorems for Continuous Set-Valued Maps

Fixed Point Theory and Applications, 2008
A best proximity pair for a set-valued map F:A⊸B with respect to a set-valued map G:A⊸A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces.
R. P. Agarwal, D. O'Regan, A. P. Farajzadeh, A. Amini-Harandi   +3 more
doaj   +5 more sources

Fixed set of set valued mappings with set valued domain in terms of start set on a metric space with a graph

Fixed Point Theory and Applications, 2017
In this article, we define the new concept of a fixed set for a set valued map with set valued domain in the setting of metric space endowed with a directed graph. This notion of fixed set is analogous to the notion of a fixed point for a multivalued map
Pradip Debnath, Binayak S Choudhury, Murchana Neog   +2 more
doaj   +2 more sources

Set-Valued Shadow Matching Using Zonotopes for 3D-Map-Aided GNSS Localization

Navigation, 2022
Unlike many urban localization methods that return point-valued estimates, a set-valued representation enables robustness by ensuring that a continuum of possible positions obeys safety constraints.
Sriramya Bhamidipati, Shreyas Kousik, Grace Gao   +2 more
doaj   +1 more source

From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability [PDF]

Journal of Nonsmooth Analysis and Optimization, 2022
We consider a generalized equation governed by a strongly monotone and Lipschitz single-valued mapping and a maximally monotone set-valued mapping in a Hilbert space. We are interested in the sensitivity of solutions w.r.t. perturbations of both mappings.
Gerd Wachsmuth
doaj   +1 more source

Structure of the Fixed Point of Condensing Set-Valued Maps [PDF]

Mathematics Interdisciplinary Research, 2020
In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.
Zeinab Soltani
doaj   +1 more source

Set-valued optimization problems via second-order contingent epiderivative [PDF]

Yugoslav Journal of Operations Research, 2021
In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity
Das Koushik, Nahak Chandal
doaj   +1 more source

On the Borel Classes of Set-Valued Maps of Two Variables

Annales Mathematicae Silesianae, 2020
Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
doaj   +1 more source

On the Existence of Super Efficient Solutions and Optimality Conditions for Set-Valued Vector Optimization Problems

Mathematics, 2022
In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the ...
Lu-Chuan Ceng, Ching-Feng Wen, Yeong-Cheng Liou   +2 more
doaj   +1 more source

Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization

Journal of Inequalities and Applications, 2020
The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem.
Xiaowei Xue
doaj   +1 more source

A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces

Journal of Applied Mathematics, 2012
We first introduce a new notion of the partial and generalized cone subconvexlike set-valued map and give an equivalent characterization of the partial and generalized cone subconvexlike set-valued map in linear spaces.
Zhi-Ang Zhou, Jian-Wen Peng
doaj   +1 more source