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 …

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 …

A MODIFIED SUBGRADIENT EXTRAGRADEINT METHOD FOR VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS IN REAL BANACH SPACES Abstract: Variational inequality problems and fixed point problems are fundamental optimization problems …

LOSS FUNCTION IN ACTURIAL SCIENCE AND ESTIMATION ABSTRACT The objective of this thesis is to gain a comprehensive understanding of loss functions and their estimation in the context of …

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 …

SINGLE-STEP ALGORITHM FOR VARIATIONAL INEQUALITY PROBLEMS IN BANACH SPACES ABSTRACT In this study, we introduce a novel one-step algorithm designed to solve variational inequality problems within a 2-uniformly convex …

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 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 …

ALGORITHMS FOR APPROXIMATING FIXED POINTS OF MULTIVALUED QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES ABSTRACT The abstract summarizes a mathematical study conducted in the field of functional analysis. Here is the …

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 …

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 …

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 …

ALGORITHMS FOR APPROXIMATION OF J-FIXED POINTS OF NONEXPANSIVE – TYPE MAPS, ZEROS OF MONOTONE MAPS, SOLUTIONS OF FEASIBILITY AND VARIATIONAL INEQUALITY PROBLEMS ABSTRACT It is well known that many …

APPROXIMATION OF ZEROS OF M-ACCRETIVE OPERATORS; SOLUTIONS TO VARIATIONAL INEQUALITY AND GENERALIZED SPLIT FEASIBILITY PROBLEMS ABSTRACT In this thesis, the problem of solving the equation of the form Au …

ITERATIVE ALGORITHMS AND EXISTENCE THEOREMS FOR SOLUTIONS OF NONLINEAR EQUATIONS IN BANACH SPACES. ABSTRACT Let E be a q-uniformly smooth real Banach space and D be a nonempty, open …