This book presents original research on the theory of positive operators, alongside fixed-point theorems and their diverse applications. It introduces various positive operators and explores their approximation properties, including Korovkin-type theorems, Voronovskaja-type results, convergence rate, and other related findings. Additionally, the book addresses the existence of solutions for various differential and integral equations in different Banach spaces by using Darbo-type fixed-point theorems. This book also presents an interplay between positive operators and fixed-point theory. Each chapter is self-contained, addressing a current problem and outlining solutions and potential applications. The chapters provide sufficient background to ensure that new definitions and results can be understood independently.

Contains original research on the theory of positive operators as well as fixed-point theorems and applications Discusses the existence of solutions of several kinds of differential and integral equations in various Banach spaces Introduces some positive operators and studies their approximation properties

Inhalt

Chapter 1 Convergence of a Class of SzaszKantorovich Operators based on 2D Appell Polynomials .- Chapter 2 Convergence Results for Nonlinear Generalized Bernstein-type Operators.- Chapter 3 Existence of Solutions for Infinite System of Nonlinear q -fractional Boundary-value Problem via Generalized Darbo's Fixed-point Theorem.