Fixed Point Theory in P-Vector Spaces
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Book Overview This monograph provides an updated development of fixed point theory under a unified framework of the "best approximation approach" in p-...
This monograph provides an updated development of fixed point theory under a unified framework of the "best approximation approach" in p-vector spaces, a core component of nonlinear analysis in mathematics, where p∊(0,1] (the same for p below unless specified). This book exposes some important contents of the new fixed point theory, with highlights in four parts.
Specifically, the book focuses on the development of general new fixed point theory for both single-valued and set-valued mappings under the framework of p-vector and locally convex spaces for p∊(0,1], including topological vector spaces and locally convex spaces as special cases. It provides affirmative answers to the Schauder conjecture under the general setting of p-vector spaces and locally p-convex spaces. The book establishes best approximation results for upper semicontinuous and 1-set contractive set-valued mappings, which are used as tools to establish new fixed point theorems for non-self set-valued mappings with either inward or outward set conditions under various situations. These results improve or unify corresponding results in the existing literature for nonlinear analysis and lay the foundation for the development of fixed point theorems in topological vector spaces since Schauder's conjecture was raised in 1930. In addition, this book demonstrates the power of the fixed point theorem by showing the equivalence among the Ekeland variational principle, Takahashi minimization theorem, Oettli-Th
Book Details Format: Hardcover | Pages: 316 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811277877
FormatHardcover
Pages316
LanguageEnglish
ISBN9811277877
EAN9789811277870
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2025-06-06
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.31 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.75 Inches
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