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On Ergodic and Inverse Shadowing Properties of Set-Valued Mapping [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]

F1000Research
This paper examines the correlation between the inverse shadowing property and the ergodic shadowing property for set-valued mappings. First, we present appropriate definitions of inverse shadowing and ergodic shadowing properties within the context of ...
Farah Wattan Kamil, Iftichar M.T. AL-Shara'a   +1 more
doaj   +2 more sources

A minimization theorem for a set-valued mapping

Applied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S J Li
exaly   +2 more sources

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

Stability for a Class of Differential Set-Valued Inverse Variational Inequalities in Finite Dimensional Spaces

Axioms, 2022
In this paper, we introduce and study a new class of differential set-valued inverse variational inequalities in finite dimensional spaces. By applying a result on differential inclusions involving an upper semicontinuous set-valued mapping with closed ...
Xinyue Zhu, Wei Li, Xueping Luo
doaj   +1 more source

Several Theorems on Single and Set-Valued Prešić Type Mappings

Mathematics, 2020
In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings ...
Seher Sultan Yeşilkaya, Cafer Aydın
doaj   +1 more source

Roughness in Membership Continuous Function

مجلة المختار للعلوم, 2021
In this paper, we introduce the new definition of rough membership function using continuous function and we discuss several concepts and properties of rough continuous set value functions as new results on rough continuous function and membership ...
Faraj.A. Abdunani, Ahmed.A. Shletiet
doaj   +1 more source

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

Proceedings 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

Approximate Solutions of a Fixed-Point Problem with an Algorithm Based on Unions of Nonexpansive Mappings

Mathematics, 2023
In this paper, we study a fixed-point problem with a set-valued mapping by using an algorithm based on unions of nonexpansive mappings. We show that an approximate solution is reached after a finite number of iterations in the presence of computational ...
Alexander J. Zaslavski
doaj   +1 more source

Generalized convex set-valued maps

Journal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benoist, Joël, Popovici, Nicolae
openaire   +2 more sources

S-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems

Journal of Inequalities and Applications, 2021
In this paper, we deal with the sensitivity analysis in vector equilibrium problems by using the S-derivative of a set-valued mapping. We first investigate the S-derivative on a kind of set-valued gap function for the vector equilibrium problems.
Xicai Deng, Wei Zhao
doaj   +1 more source