Fixed-point and random fixed-point theorems in cones of banach spaces

✍ Scribed by D. O'Regan

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 769 KB
• Volume: 32
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(00)00219-3

✦ Synopsis

agrees with F on &Y, we have that L -G has a zero in U. Otherwise, F is L-inessential in Kau(o, C; L), i.e., there exists G E Ksv (0, C; L) which agrees with F on dU and L -G is zero free on U. Two maps F, G E Ka~r(u,C; L) are homotopic in Kau(D, C; L) written F = G in Ka,y(D, C; L) if there is a continuous condensing map N : 8 x [0, l] -+ C with N(a x [0, 11) a subset of a bounded set in C and such that N,(U) = N(u, t) : u -+ C belongs to Ksu(D, C; L