Fixed point theory for 1-set contractive and pseudocontractive mappings (Q2444279)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theory for 1-set contractive and pseudocontractive mappings |
scientific article |
Statements
Fixed point theory for 1-set contractive and pseudocontractive mappings (English)
0 references
9 April 2014
0 references
Fixed point theorems of Krasnosel'skij type are established for the sum of two nonlinear operators, where one is completely continuous and the other is either a 1-set contraction or a pseudocontraction. The results are applied to the existence of solutions of integral equations.
0 references
fixed points
0 references
pseudocontractive mappings
0 references
measures of noncompactness
0 references
Krasnosel'skij fixed point theorem
0 references
nonlinear integral equations
0 references