Some variational results using generalizations of sequential lower semicontinuity

DOI10.1155/2010/323487zbMath1213.49021OpenAlexW2003908087WikidataQ59250142 ScholiaQ59250142MaRDI QIDQ978959

Gianfranco Bottaro, Ada Bottaro Aruffo

Publication date: 25 June 2010

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

Full work available at URL: https://eudml.org/doc/231394

zbMATH Keywords

Ekeland's variational principleCaristi's fixed point theoremlower semicontinuity from abovesequential lower semicontinuity

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Note on Convex Functionals in the Dual Spaces of Nonreflexive Banach Spaces ⋮ On the weak semi-continuity of vector functions and minimum problems ⋮ Monotone type operators in nonreflexive Banach spaces ⋮ Some generalizations of fixed point theorems of Caristi type and Mizoguchi-Takahashi type under relaxed conditions

Cites Work

• On some nonlinear problems induced by an abstract maximal element principle
• Equivalent extensions to Caristi-Kirk's fixed point theorem, Ekeland's variational principle, and Takahashi's minimization theorem
• The Brézis-Browder order principle and extensions of Caristi's theorem.
• A Generalization of Altman's Ordering Principle
• A generalization of the Brézis-Browder principle on ordered sets

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