TY - BOOK

T1 - Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

AU - Vetro, Calogero

AU - Jleli, Mohamed

AU - Samet, Bessem

AU - Banaś, Józef

AU - Mursaleen, Mohammad

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Mathematics (all)

KW - Mathematics (all)

UR - http://hdl.handle.net/10447/288312

UR - http://www.springer.com/in/book/9789811037214

M3 - Other report

SN - 9789811037221

BT - Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

PB - Springer Singapore

ER -