Browsing Pure and Applied Mathematics by Issue Date
Now showing items 41-54 of 54
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Algorithms for Approximating fixed Points of Multivalued Quasi-Nonexpansive Mappings in Banach Spaces
(AUST, 2019-06-14)Let E be a strictly convex real Banach space and let D ⊆ E be a non-empty closed convex subset of E. Let {T}i∈I be a finite family of quasi-nonexpansive multivalued map which are continuous with respect to the Hausdorff ...
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Attractive Point Approximations of further 2-Generalized Hybrid Mapping in Hyperbolic Space
(AUST, 2019-06-20)In this research work, we propose a viscosity type iterative scheme and showed that the scheme converges strongly to the attractive point of further 2-generalized hybrid mapping in hyperbolic spaces. The result presented ...
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Integration in Lattice Spaces
(2019-06-22)The goal of this thesis is to extend the notion of integration with respect to a measure to Lattice spaces. To do so the paper is first summarizing the notion of integration with respect to a measure on R. Then, a construction ...
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Foundation of Stochastic Modeling and Applications
(2019-06-22)This thesis presents an overview on the theory of stopping times, martingales and Brownian motion which are the foundations of stochastic modeling. We started with a detailed study of discrete stopping times and their ...
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Loss Function in Acturial Science and Estimation
(2019-06-23)The non-life insurance pricing consists of establishing a premium or a tariff paid by the insured to the insurance company in exchange for the risk transfer. A key factor in doing that is properly estimating the distribution ...
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LaSalle Invariance Principle for Ordinary Differential Equations and Applications
(2019-06-23)The most popular method for studying stability of nonlinear systems is introduced by a Russian Mathematician named Alexander Mikhailovich Lyapunov. His work ”The General Problem of Motion Stability ” published in 1892 ...
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Variational Inequality in Hilbert Spaces and their Applications
(2019-06-23)The study of variational inequalities frequently deals with a mapping F from a vector 0 space X or a convex subset of X into its dual X . Let H be a real Hilbert space and a(u, v) be a real bilinear form on H. Assume that ...
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Sobolev Spaces, Embedding Theorems and Applications to PDEs
(2019-06-25)
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Bochner Integration in Banach spaces and integration in R k and `1
(AUST, 2021-05-10)
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A Strong Convergence for the sum of three Monotone Operators in a Real Banach Space
(AUST, 2021-07-09)Let E be a real 2-uniformly convex Banach space with topological dual E∗. We established strong convergence for the class of variational inclusion for the sum of three monotone operators. More over, we give a variant of ...
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Single-Step Algorithm for Variational Inequality Problems in Banach Spaces
(AUST, 2021-07-10)In this work, we propose a one-step algorithm for solving variational inequality problems in a 2-uniformly con vex Banach space. Weak convergence of the scheme to a solution of variational inequality is established under ...
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Modified Forward-Backward Splitting Method Without Cocoercivity for the sum of two Monotone Operators in Banach Spaces
(AUST, 2021-07-10)In this thesis, we present an algorithm for solving a variation inclusion problem of sum of two monotone operators in real Banach spaces which uses variable step sizes that are updated over each iteration by some cheap ...
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Co−Semigroups of Contradiction on Banach Spaces and Applications
(AUST, 2023-03-17)Let X be a Banach space and A : D(A) ⊂ X −→ X be an unbounded linear operator on X. We study the concept of C0−semigroup of contraction on arbitrary Banach space X and give the two characterizations of A called infinitesimal ...