Journal of Mathematics, 2021 In this paper, we study a set-valued extended generalized nonlinear mixed variational inequality problem and its generalized resolvent dynamical system. A three-step iterative algorithm is constructed for solving set-valued extended generalized nonlinear
Iqbal Ahmad +3 more
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Stability analysis for set-valued inverse mixed variational inequalities in reflexive Banach spaces
Journal of Inequalities and Applications, 2023 This work is devoted to the analysis for a new class of set-valued inverse mixed variational inequalities (SIMVIs) in reflexive Banach spaces, when both the mapping and the constraint set are perturbed simultaneously by two parameters.
Xiaolin Qu +3 more
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R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization [PDF]
Set-Valued and Variational Analysis, 2021 The presence of Lipschitzian properties for solution mappings associated with nonlinear parametric optimization problems is desirable in the context of, e.g., stability analysis or bilevel optimization.
P. Mehlitz, L. Minchenko
semanticscholar +2 more sources
Convergence Analysis of a Three-Step Iterative Algorithm for Generalized Set-Valued Mixed-Ordered Variational Inclusion Problem [PDF]
Symmetry, 2021 This manuscript aims to study a generalized, set-valued, mixed-ordered, variational inclusion problem involving H(·,·)-compression XOR-αM-non-ordinary difference mapping and relaxed cocoercive mapping in real-ordered Hilbert spaces. The resolvent operator associated with H(·,·)-compression XOR-αM-non-ordinary difference mapping is defined, and some of ...
Praveen Agarwal +3 more
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Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy [PDF]
Set-Valued and Variational Analysis, 2022 In this work we deal with set-valued functions with values in the power set of a separated locally convex space where a nontrivial pointed convex cone induces a partial order relation.
M. D. Fajardo
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On inner calmness*, generalized calculus, and derivatives of the normal cone mapping [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 In this paper, we study continuity and Lipschitzian properties of set-valued mappings, focusing on inner-type conditions. We introduce new notions of inner calmness* and, its relaxation, fuzzy inner calmness*.
Matúš Benko
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Sensitivity Analysis for Nonlinear Set-Valued Variational Equations in Banach Framework [PDF]
Journal of Function Spaces and Applications, 2013 Summary: The main purpose of this paper is to study the sensitivity analysis for nonlinear set-valued variational equations based on \((A, \eta)\)-resolvent operator technique. The obtained results encompass a broad model of results.
A. Farajzadeh, null Salahuddin
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Random Lift of Set Valued Maps and Applications to Multiagent Dynamics
Set-Valued and Variational Analysis, 2023 We introduce an abstract framework for the study of general mean field games and mean field control problems. Given a multiagent system, its macroscopic description is provided by a time-depending probability measure, where at every instant of time the ...
R. Capuani, A. Marigonda, M. Ricciardi
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Journal of Function Spaces, 2021 In this article, we consider and study a system of generalized set-valued variational inequalities involving relaxed cocoercive mappings in Hilbert spaces. Using the projection method and Banach contraction principle, we prove the existence of a solution
M. Akram, Aysha Khan, M. Dilshad
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Contingent derivatives of the set-valued solution map of a noncoercive saddle point problem. A cross-fertilization between variational analysis and inverse problems [PDF]
Journal of Nonlinear and Variational Analysis, 2020 Summary: We focus on the inverse problem of parameter identification in an abstract saddle point problem. Under the assumption that the saddle point problem is solvable, we study the characterizations of the first-order and the second-order contingent derivatives of the set-valued parameter-to-solution map.
Jadamba, Baasansuren +3 more
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