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Field name	Details
Dewey Class	515.7
Title	Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness ([EBook]) / edited by Józef Banas, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro.
Added Personal Name	Banas, Józef editor.
	Jleli, Mohamed
	Mursaleen, Mohammad. , 1953-
	Samet, Bessem
	Vetro, Calogero
Other name(s)	SpringerLink (Online service)
Publication	Singapor : Springer Singapor , 2017.
Physical Details	XIII, 487 page : online resource.
ISBN	9789811037221
Summary Note	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 for the mathematical community working in nonlinear analysis. Both these theories are especially useful in investigations connected with differential equations, integral equations, functional integral equations and optimization theory. Thus, one of the book?s central goals is to collect and present sufficient conditions for the solvability of such equations. The results are established in miscellaneous function spaces, and particular attention is paid to fractional calculus.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-981-10-3722-1
Links to Related Works	Subject References: Differential equation . Dynamical systems and ergodic theory . Dynamics . Ergodic theory . Functional Analysis . Integral Equations . Mathematical models . Operator Theory . Ordinary differential equations . Authors: Banas, Józef . editor . Jleli, Mohamed . Mursaleen, Mohammad. 1953- . Samet, Bessem . Vetro, Calogero . Corporate Authors: SpringerLink (Online service) . Classification: 515.7 .

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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

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