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The contributions of the author in the areas of Nonlinear Functional Analysis and Operator Theory have resulted to several scholarly articles, published in reputable international journals, and this book. The book is a thrilling exposure of some nonlinear operators, Banach spaces, the existence of fixed points of some nonlinear operators in certain Banach spaces and iterative sequences together with their convergence to fixed points of some nonlinear operators in Banach spaces. The application of the results obtained in the treatise can be brought to bear on contemporary problems arising in Applied Mathematics and several other disciplines such as Biology, Economics and Engineering. The book should be a spring-board for young mathematicians who have the dream of pursuing academic excellence in the areas of Nonlinear Functional Analysis and Operator Theory.