Geometric Properties of Banach Spaces and Nonlinear Iterations

• Κύριος συγγραφέας: Chidume, Charles (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2009.
• Σειρά: Lecture Notes in Mathematics, 1965
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Integral equations.; Operator theory.; Numerical analysis.; Calculus of variations.; Operator Theory.; Analysis.; Functional Analysis.; Calculus of Variations and Optimal Control; Optimization.; Integral Equations.; Numerical Analysis.

Nonlinear functional analysis and applications is an area of study that has provided fascination for many mathematicians across the world. This monograph delves specifically into the topic of the geometric properties of Banach spaces and nonlinear iterations, a subject of extensive research over the...

Πίνακας περιεχομένων:

• Some Geometric Properties of Banach Spaces
• Smooth Spaces
• Duality Maps in Banach Spaces
• Inequalities in Uniformly Convex Spaces
• Inequalities in Uniformly Smooth Spaces
• Iterative Method for Fixed Points of Nonexpansive Mappings
• Hybrid Steepest Descent Method for Variational Inequalities
• Iterative Methods for Zeros of ? – Accretive-Type Operators
• Iteration Processes for Zeros of Generalized ? —Accretive Mappings
• An Example; Mann Iteration for Strictly Pseudo-contractive Mappings
• Approximation of Fixed Points of Lipschitz Pseudo-contractive Mappings
• Generalized Lipschitz Accretive and Pseudo-contractive Mappings
• Applications to Hammerstein Integral Equations
• Iterative Methods for Some Generalizations of Nonexpansive Maps
• Common Fixed Points for Finite Families of Nonexpansive Mappings
• Common Fixed Points for Countable Families of Nonexpansive Mappings
• Common Fixed Points for Families of Commuting Nonexpansive Mappings
• Finite Families of Lipschitz Pseudo-contractive and Accretive Mappings
• Generalized Lipschitz Pseudo-contractive and Accretive Mappings
• Finite Families of Non-self Asymptotically Nonexpansive Mappings
• Families of Total Asymptotically Nonexpansive Maps
• Common Fixed Points for One-parameter Nonexpansive Semigroup
• Single-valued Accretive Operators; Applications; Some Open Questions.