This book focuses on the study of several properties of Banach spaces applied to diverse problems in functional and numerical analysis. Many problems in science, engineering and other disciplines can be expressed in the form of equations, inequalities or systems of equations using mathematical modelling. In particular, a large number of these problems can be solved using these spaces. A great multitude of examples showing the theoretical application developed appears throughout the work. Researchers and practitioners will find this book very useful as a source book, utilize its methods and also use it as a classroom text for a senior undergraduate or graduate course. It is certainly an excellent must read book.

Table of Contents:
PrefaceRight Complex Caputo Fractional InequalitiesMixed Complex Fractional InequalitiesAdvanced Complex Fractional Ostrowski InequalitiesImproved Qualitative Analysis for Newtonlike Methods with ROrder of Convergence at Least Three in Banach SpacesDevelopments on the Convergence Region of Newtonlike Methods with Generalized Inverses in Banach SpacesModified NewtonType Compositions for Solving Equations in Banach SpacesBall Convergence for Optimal Derivative Free MethodsBall Convergence for a Derivative Free Method with MemoryWeaker Convergence Conditions of an Iterative Method for Nonlinear IllPosed EquationsBall Convergence Theorem for a Fifth Order Method in Banach SpacesExtended Convergence of KingWernerlike Methods without DerivativesOn an Eighth Order SteffensenType Solver Free of DerivativesLocal Convergence of Osadas Method for Finding Zeros with MultiplicityExpanding the Applicability of an EighthOrder Method in Banach Space under Weak ConditionsLocal Convergence for Three Step Eighth Order Method under Weak ConditionsBall Convergence for a ThreeStep One Parameter Efficient Method in Banach Space under Generalized ConditionsOn the Convergence of NewtonMoser Method from Data at One PointApproximating Inverse Operators by a FourthOrder Iterative MethodInitial Value Problems in Clifford Analysis Using Associated SpacesComputational Approach of Initial Value Problems in Clifford Analysis Using Associated SpacesAsymmetric Convexity and Smoothness: Quantitative Lyapunov Theorems, Lozanovskii Factorisation, Walsh Chaos and Convex DualityCopies of Sequence Spaces and Basic Properties of Anisotropic Function SpacesInterpolation and Bounded Extension of HӧlderLipschitz Mappings between Function, NonCommutative and Other Banach SpacesDifferential Equations with a Small Parameter in a Banach SpaceRole of HansonAntczakType V Invex Functions in Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional ProgrammingIndex.