Fixed Point Theory for Decomposable Sets

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Springer Science & Business Media, Aug 5, 2004 - Mathematics - 209 pages
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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.

 

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Contents

III
3
IV
5
V
6
VI
14
VII
23
VIII
24
IX
26
X
29
XXXI
110
XXXII
113
XXXIII
115
XXXIV
121
XXXV
125
XXXVI
127
XXXVII
138
XXXVIII
139

XI
37
XII
42
XIII
55
XIV
57
XV
59
XVI
66
XVII
70
XVIII
73
XIX
81
XX
84
XXI
87
XXII
91
XXIII
93
XXIV
94
XXV
96
XXVI
100
XXVII
101
XXVIII
102
XXIX
107
XXX
108
XXXIX
141
XL
151
XLI
153
XLIII
155
XLIV
156
XLV
160
XLVI
163
XLVII
164
XLVIII
166
XLIX
171
L
172
LI
177
LII
179
LIII
182
LIV
185
LV
190
LVI
192
LVII
199
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