A fixed point result in Banach algebras based on the degree of nondensifiability and applications to quadratic integral equations
| Autor: | G. García, Gaspar Mora |
|---|---|
| Přispěvatelé: | Universidad de Alicante. Departamento de Matemáticas, Curvas Alpha-Densas. Análisis y Geometría Local |
| Rok vydání: | 2019 |
| Předmět: |
Análisis Matemático
Alternative methods Pure mathematics Quadratic integral Degree (graph theory) Fixed point theorem Applied Mathematics 010102 general mathematics Fixed-point theorem Fixed point Degree of nondensifiabilty 01 natural sciences Quadratic integral equations 010101 applied mathematics Banach algebras 0101 mathematics Analysis Mathematics |
| Zdroj: | RUA. Repositorio Institucional de la Universidad de Alicante Universidad de Alicante (UA) |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2018.11.073 |
| Popis: | We present some fixed point results in Banach algebras based on the so called degree of nondensifiability ϕ d . It is shown that ϕ d is an alternative method to measures of noncompactness to obtain fixed point results. As an application of the usefulness of ϕ d it is proved the existence of solution for some quadratic integral equations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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