Category: MATHEMATICS PROJECT TOPICS AND MATERIALS DOC & PDF

REGRESSION ANALYSIS ON THE IMPACT OF SMOKING, LEVEL OF EXERCISE, AND WEIGHT ON HEALTH ABSTRACT This research investigates the impact of smoking, level of exercise, and weight on health …

INTEGRATION IN LATTICE SPACES ABSTRACT This thesis aims to broaden the concept of integration with respect to a measure by extending it to lattice spaces. The paper begins by …

SOBOLEV SPACES EMBEDDING THEOREMS AND APPLICATIONS TO PDES Abstract: Sobolev spaces are fundamental mathematical spaces that play a crucial role in the study of partial differential equations (PDEs). This …

LASALLE INVARIANCE PRINCIPLE FOR ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATIONS The most popular method for studying stability of nonlinear systems is introduced by a Russian Mathematician named Alexander Mikhailovich Lyapunov. …

FOUNDATION OF STOCHASTIC MODELING AND APPLICATIONS Abstract: This thesis provides a comprehensive examination of the fundamental concepts in stochastic modeling, namely stopping times, martingales, and Brownian motion. The research …

OPERATOR THEORY AND ANALYTIC FUNCTIONS ABSTRACT The theory of analytic functions plays a fundamental role in operator theory, providing valuable methods, examples, and solutions to various problems. One area …

MOORE-PENROSE PSEUDOINVERSE AND APPLICATIONS. ABSTRACT In this abstract, we focus on establishing algebraic analogs of a fundamental theorem attributed to Gauss and Legendre. This theorem states that for an …

APPROXIMATION OF SOLUTIONS OF SPLIT INVERSE PROBLEM FOR MULTI-VALUED DEMI-CONTRACTIVE MAPPINGS IN HILBERT SPACES ABSTRACT Let H1 and H2 denote two Hilbert spaces, and let Aj: H1 → H2 …

ATTRACTIVE POINT APPROXIMATIONS OF FURTHER 2-GENERALIZED HYBRID MAPPING IN HYPERBOLIC SPACE ABSTRACT In this research study, we introduce a novel iterative scheme based on viscosity principles. We demonstrate that …

ITERATIVE METHODS FOR APPROXIMATION OF FIXED POINTS OF CERTAIN MULTIVALUED MAPPINGS IN HADAMARD SPACES ABSTRACT Let (X,d) be a Hadamard space and let D be its closed convex nonempty …

A STRONG CONVERGENCE FOR THE SUM OF THREE MONOTONE OPERATORS IN A REAL BANACH SPACE Let E be a real 2-uniformly convex Banach space with topological dual E∗. We …

BOCHNER INTEGRATION IN BANACH SPACES AND INTEGRATION IN R K AND `1 Abstract: The Bochner integral and the Lebesgue integral are two fundamental concepts in measure theory and functional …

A MEASURE THEORY AND INTEGRATION APPROACH TO PROBABILITY THEORY, AND APPLICATIONS IN FINANCIAL MARKETS (BLACK-SCHOLES MODEL), AND ACTUARIAL MATHEMATICS (RUIN PROBABILITY) Abstract: Probability theory is a fundamental branch of …

MEASURABLE SET-VALUED FUNCTIONS AND BOCHNER INTEGRALS ABSTRACT This thesis explores the measurability of set-valued functions and the Bochner integral by combining concepts from Topology, Measure Theory, Probability Theory, and …

CONTRIBUTIONS TO ITERATIVE ALGORITHMS FOR NONLINEAR EQUATIONS IN BANACH SPACES • Let H be a real Hilbert space. Let K, F : H → H be bounded, continuous and …

ITERATIVE ALGORITHMS FOR SINGLE-VALUED AND MULTI-VALUED NONEXPANSIVE-TYPE MAPPINGS IN REAL LEBESGUE SPACES ABSTRACT Algorithms for single-valued and multi-valued non-expansive-type mappings have continued to attract a lot of attentions because …

APPROXIMATION OF SOLUTIONS OF INCLUSION PROBLEMS WITH APPLICATIONS TO HAMMERSTEIN EQUATION AND IMAGE RESTORATION ABSTRACT Monotone operators and accretive operators are essential to modern optimization and xed point theory. …