• 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 ...
  
  
• Sobolev Spaces, Embedding Theorems and Applications to PDEs 

  Adams, Zekeri (2019-06-25)
  
  

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