Topological results, Rothe's principle and Leray-Schauder alternative for the fixed point equation in \(p\)-vector spaces

DOI10.1007/s41478-022-00522-xOpenAlexW4309484580MaRDI QIDQ6040597

George Xianzhi Yuan

Publication date: 19 May 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00522-x

zbMATH Keywords

fixed point theoremLeray-Schauder alternativeKKM principleSchauder conjectureSchauder fixed pointlocally \(p\)-convex\(p\)-convex (vector)Kalton embedding lemmalocally convex spaces (LCS)Rothe-typetopological vector space (TVS)

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Variational principles in infinite-dimensional spaces (58E30) General equilibrium theory (91B50)

Related Items (1)

Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some fixed point theorems in locally \(p\)-convex spaces
• Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces
• Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces based on measures of noncompactness
• Convexity of Chebyshev sets
• A generalization of Tychonoff's fixed point theorem
• The KKM principle in abstract convex spaces: equivalent formulations and applications
• The Lefschtz-Hopf theorem for compact maps of ULC spaces
• The Kakutani fixed point theorem for Roberts spaces
• The fixed point property for weakly admissible compact convex sets: Searching for a solution to Schauder's conjecture
• Nonlinear analysis by applying best approximation method in \(p\)-vector spaces
• On the conjecture of Schauder
• Leray--Schauder type alternatives, complementarity problems and variational inequalities
• Fixed points in locally convex spaces
• Fixed points of condensing functions
• Fixed points for convex continuous mappings in topological vector spaces
• The Scottish Book
• The study of minimax inequalities and applications to economies and variational inequalities
• Universal spaces and universal bases in metric spaces
• COMPACT p-CONVEX SETS
• A compact convex set with no extreme points
• An extension of Tychonoff’s fixed point theorem to pseudonorm adjoint topological vector spaces
• Boundedness in Linear Topological Spaces
• Ekeland's variational principle in locally p-convex spaces and related results
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

This page was built for publication: Topological results, Rothe's principle and Leray-Schauder alternative for the fixed point equation in \(p\)-vector spaces