Variational principles, minimization theorems, and fixed-point theorems on generalized metric spaces

DOI10.1023/B:JOTA.0000004874.68185.35zbMath1084.49025MaRDI QIDQ597212

Ume, Jeong Sheok

Publication date: 6 August 2004

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

zbMATH Keywords

variational principleslower semicontinuityfixed-point theorems\(D\)-metricminimization theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (2)

Fixed point theorems for nonlinear contractions in Menger spaces ⋮ Brezis-Browder Principles and Applications

Cites Work

• Unnamed Item
• Nonconvex minimization problems
• A Generalization of Banach's Contraction Principle
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• A generalization of Ekerland's variational principle and application to the study of the relation between the weak P.S. condition and coercivity

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