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Fixed Point Theorems for Nonlinear Operators

โœ Scribed by Donal O'Regan


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
218 KB
Volume
202
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


Some new fixed point theorems are presented for operators of accretive, nonlinear contractive, or nonexpansive type. These results are then used to establish a new existence principle for second order boundary value problems in Hilbert spaces.


๐Ÿ“œ SIMILAR VOLUMES


New Fixed Point Theorems of Mixed Monoto
โœ Zhang Zhitao ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 161 KB

In this paper, a class of mixed monotone operators with convexity and concavity are investigated, and existence and uniqueness theorems of fixed points are obtained. Moreover, some applications to nonlinear integral equations on unbounded regions and differential equations in Banach spaces are given