• FINITE DIMENSIONAL GAUSSIAN MEASURES :PROBABILITY LAW APPROACH AND FUNCTIONAL APPROACH 

  Abdullahi, Haruna Itopa (2017-12-18)

  In this thesis work, several notions from Functional analysis, Topology, Measure theory, and integration are used in the study of Gaussian measures in fi nite dimensions. We discussed this using the probability law approach ...
  
  
• The Auman Integral of Set-Valued Maps 

  Eleh, Chinedu Anthony (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 ...
  
  
• Co−Semigroups of Contradiction on Banach Spaces and Applications 

  Isedowo, Joshua Wale (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 ...
  
  
• Measurable Set-Valued Functions and Bochner Integrals 

  Eze, Leonard Chidiebere (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 ...
  
  
• A Measure Theory and Integration Approach to Probability Theory, and Applications in Financial Markets (Black-Scholes model), and Actuarial Mathematics (Ruin Probability) 

  Nwonu, Blessing Uchenna (AUST, 2021-06-10)
  
  
• Single-Step Algorithm for Variational Inequality Problems in Banach Spaces 

  Yusuf, Halima (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 ...
  
  
• Bochner Integration in Banach spaces and integration in R k and `1 

  Bechi, Paula (AUST, 2021-05-10)
  
  
• A Strong Convergence for the sum of three Monotone Operators in a Real Banach Space 

  Auta, Jonathan Timothy (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 ...
  
  
• Modified Forward-Backward Splitting Method Without Cocoercivity for the sum of two Monotone Operators in Banach Spaces 

  Alka, Maryam (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 ...
  
  
• Iterative Methods for Approximation of fixed Points of Certain Multivalued Mappings in Hadamard Spaces 

  Sani, Salisu (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 ...
  
  
• Attractive Point Approximations of further 2-Generalized Hybrid Mapping in Hyperbolic Space 

  Sahura, Badamasi Mohammed (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 ...
  
  
• Algorithms for Approximating fixed Points of Multivalued Quasi-Nonexpansive Mappings in Banach Spaces 

  Izuazu, Emmanuel Chimezie (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 ...
  
  
• Approximation of Solutions of Split Inverse Problem for Multi-valued Demi-Contractive Mappings in Hilbert Spaces 

  Isyaku, Mustapha (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 ...
  
  
• Moore-Penrose Pseudoinverse and Applications. 

  Areji, Jonathan Gebechukwu (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 ...
  
  
• Operator Theory and Analytic Functions 

  Uzoma, William Chukwubikem (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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  Loss Function in Acturial Science and Estimation 

  Zulaihat, Hassan (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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  Integration in Lattice Spaces 

  Doumbia, Fatima (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 

  Sani, Rahama Abdullahi (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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  Variational Inequality in Hilbert Spaces and their Applications 

  Udeani, Cyril Izuchukwu (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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  LaSalle Invariance Principle for Ordinary Differential Equations and Applications 

  Okolie, Patricia Ogochukwu (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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