Volterra and Fredholm integral equations in locally convex spaces, and leader-type contractions in gauge spaces

DOI10.1216/jie.2023.35.141OpenAlexW4388264965MaRDI QIDQ6143124

Kazimierz Włodarczyk

Publication date: 23 January 2024

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie.2023.35.141

zbMATH Keywords

locally convex spacequadratic integral equationgauge spacequadratic fractional integral equationleader-type contraction

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fredholm integral equations (45B05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Ordinary differential equations in Banach spaces
• Periodic and fixed points of the Leader-type contractions in quasi-triangular spaces
• Set-valued Leader type contractions, periodic point and endpoint theorems, quasi-triangular spaces, Bellman and Volterra equations
• A theorem on contraction mappings
• Volterra Integral Equations
• A Note on Contractive Mappings
• Equivalent Cauchy sequences and contractive fixed points in metric spaces
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• Contractions and completely continuous mappings
• Equivalence of some contractivity properties over metrical structures
• On Nonlinear Contractions
• On Contractive Mappings
• Volterra integral and differential equations
• Abstract Volterra equations: a survey
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