Browsing Pure and Applied Mathematics by Title
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Floquet Theory and Applications
(20101205)This project is at the interface between Analysis, Natural Sciences and Modeling Theory. It deals with Floquet Theory (also re ered to as FloquetLyapunov theory) which is the main tool of the theory of periodic ordinary ...

Foundation of Stochastic Modeling and Applications
(20190622)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 ...

A Hybrid Algorithm for Approximating a Common Element of Solutions of a Variational Inequality Problem and a Convex Feasibility Problem
(20171218)In this thesis, a hybrid extragradientlike iteration algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, kLipschitz map and common fixed points of a ...

Integration in Lattice Spaces
(20190622)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 ...

Isoperimetric Variational Techniques and Applications
(20101205)This project is at the interface between Nonlinear Functional Analysis, Convex Analysis and Di erential Equations. It concerns one of the most powerful methods often used to solve optimization problems with constraints; ...

Iterative Methods for Approximation of fixed Points of Certain Multivalued Mappings in Hadamard Spaces
(AUST, 20190609)Let (X,d) be a Hadamard space and let D be its closed convex nonempty set. We studied countable family of multivalued demicontractive mappings {Ti} from D to C B(D) with constants {ki} ⊂ (0,1) and developed an iterative ...

A KrasnoselskiiType Algorithm for Approximating Solutions of Variational Inequality Problems and Convex Feasibility Problems
(20171218)A Krasnoselskiitype algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, kLipschitz map and solutions of a convex feasibility problem involving a countable ...

LaSalle Invariance Principle for Ordinary Differential Equations and Applications
(20190623)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 ...

Loss Function in Acturial Science and Estimation
(20190623)The nonlife 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 ...

Maximal Monotone Operators on Hilbert Spaces and Applications
(201605)Let H be a real Hilbert space and A : D(A) ⊂ H → H be an unbounded, linear, selfadjoint, and maximal monotone operator. The aim of this thesis is to solve u 0 (t) + Au(t) = 0, when A is linear but not bounded. The classical ...

Measurable SetValued Functions and Bochner Integrals
(20171212)In this thesis, several concepts from Topology, Measure Theory, Probability Theory, and Functional analysis were combined in the study of the measurability of setvalued functions and the Bochner integral. We started with ...


Minimum Principle of Pontryagin
(20111215)This Project is at the interface between Optimization, Functional analysis and Differential equation. It concerns one of the powerful methods often used to solve optimization problems with constraints; namely Minimum ...

Modified ForwardBackward Splitting Method Without Cocoercivity for the sum of two Monotone Operators in Banach Spaces
(AUST, 20210710)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 ...

A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces
(20171218)Let E be a 2uniformly convex and uniformly smooth real Banach space with dual space E ∗ . Let A : C → E ∗ be a monotone and Lipschitz continuous mapping and U : C → C be relatively non expansive. An algorithm for ...

A Modified Subgradient Extragradient Method for Solving Monotone Variational Inequalities in Banach Spaces
(20171218)The subgradient extragradient method is considered an improvement of the extragradient method for variational inequality problem for the class of monotone and Lipschitz continuous mappings in the setting of Hilbert spaces. ...

Monotone Operators and Applications
(201112)This project is mainly focused on the theory of Monotone (increasing) Operators and its applications. Monotone operators play an important role in many branches of Mathematics such as Convex Analysis, Optimization Theory, ...

Monotone Operators and Applications
(20101207)This project is mainly focused on the theory of Monotone (increasing) Operators and its applications. Monotone operators play an important role in many branches of Mathematics such as Convex Analysis, Optimization Theory, ...

MoorePenrose Pseudoinverse and Applications.
(AUST, 20190610)An underlying theorem due to Gauss and Lengendre asserts that for an over determined system, there are solutions that minimize kAx − bk 2 which is given by the generalized inverse of the matrix A even when A is singular ...

The Mountain Pass Theorem and Applications
(20101108)This project lies at the interface between Nonlinear Functional Analysis, unconstrained Optimization and Critical point theory. It concerns mainly the AmbrosettiRabinowitz's Mountain Pass Theorem which is a minmax theorem ...