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Lights and Shadows on Generalizations in Fixed Point Theory.

Lights and Shadows on Generalizations in Fixed Point Theory.

・ISBN 978-1-032-66312-8 hard GB£ 145.99

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-032-69067-4

著者・編者Rezapour, Shahram,
出版社(CRC Press, UK)
出版年月2024
ページ数320 pp.
言語ENG
ニュース番号<M25-13056 M25-13462>

解説

Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas. The most prominent application/conclusion of this theory is the Banach contraction principal. The notion of invisible graphs, introduced here for the first time, will find applications in different areas of science.

The book examines the classical techniques of this theory with a critical approach, along with the emergence of various generalizations in its evolution. Using the latest theories of the philosophy of science, the author aims to provide a philosophical explanation for the gaps in the fixed point theory and introduce the reader to profound mathematical-philosophical challenges.