Krasnosel'skii type compression-expansion fixed point theorem for set contractions and star convex sets

DOI10.1007/s11784-020-00799-0OpenAlexW3039286235MaRDI QIDQ780431

Cristina Lois-Prados, Radu Precup, Rosana Rodríguez-López

Publication date: 15 July 2020

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-020-00799-0

zbMATH Keywords

compression-expansion fixed point theoremimplicit differential systemset contractionstar convex set

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Positive periodic solutions of singular systems with a parameter
• Fixed point theorems for mappings in ordered Banach spaces
• Fixed point theorem of Leggett-Williams type and its application
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Compression-expansion fixed point theorem in two norms and applications
• On the Existence of Positive Solutions of Ordinary Differential Equations
• On the existence of positive solutions of nonlinear second order differential equations
• A generalization of Krasnosel'skii compression fixed point theorem by using star convex sets
• A fixed point theorem for positivek-set contractions
• Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality
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