Results 1 to 10 of about 43,910 (259)

Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems [PDF]

open access: yesJournal of Inequalities and Applications, 2017
Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with γ > 0 $\gamma>0$ .
Hui Huang, Jixian Ning
doaj   +2 more sources

Generalized convex set-valued maps

open access: yesJournal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicolae Popovici
exaly   +3 more sources

Convexity for set-valued maps

open access: yesApplied Mathematics Letters, 1996
The author presents several definitions of convex and quasiconvex set-valued maps and gives some relationships between them.
exaly   +3 more sources

Approximate Convexity for Set-Valued Maps [PDF]

open access: yesMathematics Interdisciplinary Research, 2023
‎In this paper‎, ‎we extend the notion of approximate convexity to set-valued maps and obtain some relations between approximate convexity and approximate monotonicity of their normal subdifferential‎.
Zohreh Kefayati, Morteza Oveisiha
doaj   +1 more source

On Fixed Points of Soft Set-Valued Maps

open access: yesFuzzy Optimization and Modeling, 2021
Conventional mathematical tools which require all inferences to be exact, are not always sufficient to handle imprecisions in a wide variety of practical fields. Thus, among various developments in fuzzy mathematics, enormous efforts have been in process
Mohammed Shehu Shagari   +2 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 −
Dontchev, A. L., Hager, W. W.
openaire   +1 more source

Using ρ-cone arcwise connectedness on parametric set-valued optimization problems

open access: yesJournal of Inequalities and Applications, 2022
Within the inquiry about work, we explore a parametric set-valued optimization problem, where the objective as well as constraint maps are set-valued.
Koushik Das, Mohammad Esmael Samei
doaj   +1 more source

On Fuzzy Soft Set-Valued Maps with Application

open access: yesJournal of Nigerian Society of Physical Sciences, 2020
Soft set and fuzzy soft set theories are proposed as mathematical tools for dealing with uncertainties. There has been tremendous progress concerning the extensions of these theories from different point of views of researchers so as to accommodate more ...
Shehu Shagari Mohammed
doaj   +1 more source

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

open access: yesMathematics 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

Stable approximations of set-valued maps [PDF]

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1988
The celebrated Lax’ principle “stability and consistency implies convergence” is adapted to the case of nonlinear equation and even inclusions (multivalued equations) through a convenient concept of stability. It requires the definition of “contingent derivative” of single or set-valued maps and states that a family of maps is stable if and only if the
Aubin, J.-P., Wets, R.J.-B.
openaire   +2 more sources

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