Browsing Pure and Applied Mathematics by Title
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An Algorithm for Solutions of Hammerstein Integral Equations with Monotone Operators
(20160607)Let X be a uniformly convex and uniformly smooth real Banach space with dual space X ∗ . Let F : X → X ∗ and K : X ∗ → X be bounded monotone mappings such that the Hammerstein equation u + KF u = 0 has a solution in X. An ...

Approximation Method for Solving Variational Inequality with Multiple Set Split Feasibility Problem in Banach Space
(20171218)In this thesis, we consider the problem of approximating solution of generalized equilibrium problems and common fixed point of finite family of strict pseudocontractions. The result obtained is applied in approximation ...

Approximation Method for Solving Variational Inequality with Multiple Set Split Feasibility Problem in Banach Space
(20171218)In this thesis, an iterative algorithm for approximating the solutions of avariational inequality problem for a strongly accretive, LLipschitz map and solutions of a multiple sets split feasibility problem is studied in ...

Characteristic Inequalities in Banach Spaces and Applications
(20130527)The contribution of this project falls within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: Inequalities in Banach spaces and applications. As is well ...


Differential Forms and Applications
(20111215)This project deals mainly with Differential Forms on smooth Riemannian manifolds and their applications through the properties of their classical Differential and Integral Operators. The calculus of Differential Forms ...

Evolution Equations and Applications
(20111217)This project concerns Evolution Equations in Banach spaces and lies at the interface between Functional Analysis, Dynamical Systems, Modeling Theory and Natural Sciences. Evolution Equations include Partial Differential ...

Existence and Uniqueness of Solutions of Integral Equations of Hammerstein Type
(20130527)Let X be a real Banach space, X ∗ its conjugate dual space. Let A be a monotone anglebounded continuous linear mapping of X into X ∗ with constant of angleboundedness c ≥ 0. Let N be a hemicontinuous (possibly nonlinear) ...

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; ...

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 ...

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 ...

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. ...