Browsing Pure and Applied Mathematics by Issue Date
Now showing items 21-40 of 54
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A Naive Finite difference Approximations for Singularly Perturbed Parabolic Reaction-Diffusion problems
(2016-06-07)In this thesis, we treated a Standard Finite Difference Scheme for a singularly perturbed parabolic reaction-diffusion equation. We proved that the Standard Finite Difference Scheme is not a robust technique for solving ...
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A Strong Convergence Theorem for Zeros of Bounded Maximal Monotone Mappings in Banach Spaces with Applications
(2016-06-07)Let E be a uniformly convex and uniformly smooth real Banach space and E ∗ be its dual. Let A : E → 2 E be a bounded maximal monotone map. Assume that A −1 (0) 6 = ∅. A new iterative sequence is constructed which converges ...
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On J-fixed points of J-pseudocontractions with applications
(2016-06-07)Let E be a real normed space with dual space E ∗ and let A : E → 2 E be any map. Let J : E → 2 E be the normalized duality map on E. A new class of mappings, J-pseudocontractive maps, is introduced and the notion of J-fixed ...
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An Algorithm for Solutions of Hammerstein Integral Equations with Monotone Operators
(2016-06-07)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 ...
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Why Classical Finite difference Approximations fail for a singularly perturbed System of Convection-Diffusion Equations
(2016-06-07)We consider classical Finite Difference Scheme for a system of singularly perturbed convection-diffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...
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Why Classical Finite difference Approximations fail for a singularly perturbed System of Convection-Diffusion Equations
(2016-06-07)We consider classical Finite Difference Scheme for a system of singularly perturbed convection-diffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...
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Spectral Decomposition of Compact Operators on Hilbert Spaces
(2017-11-23)Compact operators are linear operators on Banach spaces that maps bounded set to relatively compact sets. In the case of Hilbert space H it is an extension of the concept of matrix acting on a finite dimensional vector ...
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Measurable Set-Valued Functions and Bochner Integrals
(2017-12-12)In this thesis, several concepts from Topology, Measure Theory, Probability Theory, and Functional analysis were combined in the study of the measurability of set-valued functions and the Bochner integral. We started with ...
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A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces
(2017-12-18)Let E be a 2-uniformly 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 ...
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Approximation Method for Solving Variational Inequality with Multiple Set Split Feasibility Problem in Banach Space
(2017-12-18)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 ...
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Approximation Method for Solving Variational Inequality with Multiple Set Split Feasibility Problem in Banach Space
(2017-12-18)In this thesis, an iterative algorithm for approximating the solutions of avariational inequality problem for a strongly accretive, L-Lipschitz map and solutions of a multiple sets split feasibility problem is studied in ...
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A Modified Subgradient Extragradient Method for Solving Monotone Variational Inequalities in Banach Spaces
(2017-12-18)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. ...
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A Krasnoselskii-Type Algorithm for Approximating Solutions of Variational Inequality Problems and Convex Feasibility Problems
(2017-12-18)A Krasnoselskii-type algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map and solutions of a convex feasibility problem involving a countable ...
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A Hybrid Algorithm for Approximating a Common Element of Solutions of a Variational Inequality Problem and a Convex Feasibility Problem
(2017-12-18)In this thesis, a hybrid extragradient-like iteration algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map and common fixed points of a ...
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Weak and Strong Convergence Theorems for Nonspreading type Mapping in a Hilbert Spaces
(2017-12-18)The work of Osilike and Isiogugu, Nonlinear Analysis, 74 (2011), 1814-1822 on weak and strong convergence theorems for a new class of k-strictly pseudononspreading mappings in real Hilbert spaces is reviewed. We studied ...
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The Auman Integral of Set-Valued Maps
(AUST, 2018-05-15)This thesis focuses on the Aumann integral of set-valued random variables and its properties. We started o by studying the space in which this integral lies: hyperspace endowed with the Hausdor metric. We considered ...
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Approximation of Solutions of Split Inverse Problem for Multi-valued Demi-Contractive Mappings in Hilbert Spaces
(AUST, 2019-05-10)Let H1 and H2 be two Hilbert spaces and Aj : H1 → H2 be bounded linear operators and Ui: H1 → 2H1, Tj : H2 → 2H2, 1 ≤ i ≤ n, 1 ≤ j ≤ r be two multi-valued demi-contractive operators with demi-contractive constants βi and ...
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Operator Theory and Analytic Functions
(AUST, 2019-06-05)The theory of analytic functions plays a central role in operator theory. It has been a source of methods, examples and problems, and has led to numerous important results. Weighted shifts (which we shall see in the sequel) ...
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Iterative Methods for Approximation of fixed Points of Certain Multivalued Mappings in Hadamard Spaces
(AUST, 2019-06-09)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 ...
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Moore-Penrose Pseudoinverse and Applications.
(AUST, 2019-06-10)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 in-verse of the matrix A even when A is singular ...