Krasnosel'skiĭ-Schaefer type method in the existence problems

DOI10.12775/TMNA.2019.028zbMath1502.45006MaRDI QIDQ2336081

Dariusz Wardowski, Calogero Vetro

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1563242554

zbMATH Keywords

compact operatornonlinear integral equation\(F\)-contractionKrasnosel'skiĭ-Schaefer fixed point theorem

Mathematics Subject Classification ID

Complete metric spaces (54E50) Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of operator theory to differential and integral equations (47N20) Special maps on metric spaces (54E40)

Related Items (6)

Krasnoselskii-type fixed point theorems using \(\alpha \)-concave operators ⋮ Family of mappings with an equicontractive-type condition ⋮ Multivalued fixed point results for two families of mappings in modular-like metric spaces with applications ⋮ A General Approach on Picard Operators ⋮ Discussions on the almost \(\mathcal{Z}\)-contraction ⋮ Feng–Liu-type fixed point result in orbital b-metric spaces and application to fractal integral equation

Cites Work

• Fixed points of a new type of contractive mappings in complete metric spaces
• Schaefer type theorem and periodic solutions of evolution equations
• Über die Methode der a priori-Schranken
• Solving existence problems via $F$-contractions
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Integral equations, implicit functions, and fixed points
• The Class of F-Contraction Mappings with a Measure of Noncompactness

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