Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

• Corporate Author: SpringerLink (Online service)
• Other Authors: Banaś, Józef (Editor), Jleli, Mohamed (Editor), Mursaleen, Mohammad (Editor), Samet, Bessem (Editor), Vetro, Calogero (Editor)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Functional analysis.; Integral equations.; Operator theory.; Differential equations.; Mathematical models.; Functional Analysis.; Mathematical Modeling and Industrial Mathematics.; Integral Equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.; Operator Theory.

This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful...

Table of Contents:

• Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis
• Measures of Noncompactness and Their Applications
• On Some Results Using Measures of Noncompactness
• Space of Functions with Growths Tempered by a Modulus of Continuity
• Measure of Noncompactness in Functional Fractional Calculus
• Measures of Weak Noncompactness and Fixed Points
• The Class of F-Contraction Mappings with a Measure of Noncompactness
• On The Measure of Non-Compactness in Banach Spaces and Application to the Theory of Differential and Integral Equations
• Partial Hadamard–Stieltjes Fractional Integral Equations in Banach Spaces
• Boundary Value Problems for Fractional Differential Equations and Inclusions in Banach Spaces
• On the Aronszajn Property for Differential Equations of Fractional Order in Banach Spaces
• On the Qualitative Behaviors of Nonlinear Functional Differential Systems of Third Order
• On the Approximation of Solutions to a Fixed Point Problem with Inequality Constraints in a Banach Space Partially Ordered by a Cone
• A Short Survey on Dislocated Metric Spaces via Fixed Point Theory.