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

    Identifiers