Fixed point theory for decomposable sets
By: Andrzej Fryszkowski.
Series: Topological fixed point theory and its applications ;; v. 2
Publisher: Kluwer Academic Publishers; Springer
Published: 2004
Place of publication: New York
Language: eng
Number of pages: 209
Subjects: Fixed point theory; Decomposition (Mathematics)
Description: Decomposable sets since T. R. Rockafellar in 1968 are one of basic notions in nonlinear analysis, especially in the theory of multifunctions. A subset K of measurable functions is called decomposable if (Q) for all and measurable A. This book attempts to show the present stage of "decomposable analysis" from the point of view of fixed point theory. The book is split into three parts, beginning with the background of functional analysis, proceeding to the theory of multifunctions and lastly, the decomposability property. Mathematicians and students working in functional, convex and nonlinear analysis, differential inclusions and optimal control should find this book of interest. A good background in fixed point theory is assumed as is a background in topology.
Notes: Includes bibliographical references.