Results 1 to 10 of about 3,373 (227)
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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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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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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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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Axioms, 2023 This work aims to develop a new class of accretive mappings and investigate its associated class of proximal mappings. This new class of accretive mappings is known as generalized (Hk,φ)-η-accretive mappings.
Sanjeev Gupta, Nifeen Hussain Altaweel
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Set-valued orthogonality and nearness
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 The theory of set-valued mappings has grown with the development of modern variational analysis. It is a key in convex and non-smooth analysis, in game theory, in mathematical economics and in control theory.
Annamaria Barbagallo +2 more
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Physical Review Research, 2022 Efficient methods for loading given classical data into quantum circuits are essential for various quantum algorithms. In this paper, we propose an algorithm called Approximate Amplitude Encoding that can effectively load all the components of a given ...
Kouhei Nakaji +8 more
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