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.

Banaś, J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (2017). Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness [10.1007/978-981-10-3722-1].

Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Vetro, Calogero
2017-01-01

Abstract

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.
2017
Mathematics (all)
9789811037221
Banaś, J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (2017). Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness [10.1007/978-981-10-3722-1].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/288312
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