On generalized ordering principles in nonlinear analysis

DOI10.1016/0362-546X(90)90021-8zbMath0712.54022MaRDI QIDQ3196978

Sehie Park, Byung Gai Kang

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Brézis-Browder principleordered complete metric spaces\(\leq \)- complete maps\(\leq \)-quasi-metricBishop-Phelps Lemmacountably inductively ordered setsd-asymptotic sequencesd-maximal elementEkeland's theorem

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Existence theories for problems in abstract spaces (49J27)

Related Items (17)

Contraction Maps in Pseudometric Structures ⋮ Brezis-Browder Principle and Dependent Choice ⋮ The existence of cone critical point and common fixed point with applications ⋮ Function Variational Principles and Normed Minimizers ⋮ Functional variational principles and coercivity over normed spaces ⋮ Ekeland variational principles in 2-local branciari metric spaces ⋮ Homotopic metric-interval L-contractions in gauge spaces ⋮ On some nonlinear problems induced by an abstract maximal element principle ⋮ Generalization of ordering principles and applications ⋮ Vector-valued variational principle in fuzzy metric space and its applications ⋮ Function variational principles and coercivity ⋮ Critical point theorems for nonlinear dynamical systems and their applications ⋮ From an abstract maximal element principle to optimization problems, stationary point theorems and common fixed point theorems ⋮ Brezis-Browder Principles and Applications ⋮ Maximal and Variational Principles in Vector Spaces ⋮ Some generalizations of fixed point theorems of Caristi type and Mizoguchi-Takahashi type under relaxed conditions ⋮ Generalized variational principle and vector optimization

Cites Work

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• A general principle on ordered sets in nonlinear functional analysis
• Weak\(^*\) support points of convex sets in \(E^*\)
• On a lemma of Bishop and Phelps
• A Generalization of Altman's Ordering Principle
• Nonconvex minimization problems
• A generalization of the Brézis-Browder principle on ordered sets

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