Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

by Jozef Banáš (Editor), Mohamed Jleli (Editor), Mohammad Mursaleen (Editor)

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.

500 pages, Paperback

Published May 9, 2018

About the author

Ever since Jozef Banas turned to writing full time in 2006, the popularity of his books has been on a constant rise. His creative home is Slovakia, a country with a population of five million seated right in the middle of Europe. Every year Banas publishes a new literary piece. His works include the #1 bestselling novels Code 9 and its sequel Code 1 about the life of Jesus in India which has become the subject of heated debate among readers. His documentary novel The Jubilation Zone is the most translated Slovak literary work. With more than 270,000 sold copies, statistically every eighth household in Slovakia owns one of Banas’ books. The community of his readers is growing fast at home as well as abroad. His books have been published in ten languages including Russian, German, Hindi and Arabic.
Jozef Banas is one of Slovakia’s most successful authors of the last decade. He is the holder of many literary awards, both domestic and international.
He has published four TV scenarios, one movie script, three theatre comedies, thirteen books in Slovakia, ten abroad.