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Titlebook: Nonlinear Analysis, Geometry and Applications; Proceedings of the T Diaraf Seck,Kinvi Kangni,Mouhamed Moustapha Fall Book 2024 The Editor(s

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Optimal Control on a Mathematical Model of SIR and Application to Covid-19,ability without intervention strategies. Optimal control theory has proven to be a successful tool in understanding ways to curtail the spread of infectious diseases by devising optimal disease intervention strategies. We investigate the impact of distancing, case finding, and case-holding controls.
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A New Fixed Point Theorem for Systems of Inclusion Problems in Banach Spaces,ets of zeros of multivalued accretive operators. We next present a convergence theorem to solutions of systems of equilibrium problems in Banach spaces. The main finding of the paper is new and extends many known results of the literature.
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A Mann Type Iterative Algorithm for Bounded and Strongly Monotone Mappings in Certain Banach Spacesr a given ., let . be generated iteratively by the algorithm: . where . is the normalized duality mapping from . into . and . is a real sequence in . satisfying some suitable conditions. Then it is proved that the sequence . converges strongly to ., the unique zero of .. Our results are applied to t
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Hamilton-Jacobi Equations and Mathematical Morphology in Pseudo-Riemannian Manifolds,r family in the PDEs area with many connections in various science fields, and admit under some assumptions viscosity solutions known as Hopf-Lax-Oleinik (HLO) formulas. Mathematical morphology (MM) is an efficient nonlinear image and data analysis method, which can be formulated as first order HJ P
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On a Nonlinear Dirichlet Eigenvalue Problem,tions. First, we show the existence of a continuous family of eigenvalues and study some properties of the first eigenvalue and the associated eigenfunctions. Then, using Schwarz symmetrization and .-harmonic transplantation techniques, we show two isoperimetric inequalities, one of which is of Fabe
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A Variational Approach to the Eigenvalue Problem for Complex Hessian Operators,ssociated eigenfunction which is .-subharmonic with finite energy for general twisted complex Hessian operators of order .. Under some extra assumption on the twist measure we prove Hölder continuity of the corresponding eigenfunction. Moreover we give applications to the solvability of more general
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