On some generalizations of Ekeland's principle and inward contractions in gauge spaces

DOI10.1007/s11784-011-0068-6zbMath1252.49019OpenAlexW1990698165MaRDI QIDQ1761405

Marlène Frigon

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11784-011-0068-6

zbMATH Keywords

Ekeland's variational principlemultivalued contractionsgauge spacedrop theoreminwardness conditionBishop-Phelps' principleCaristi's fixed-point theoremflower petal theorem

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems ⋮ Ekeland variational principle and its equivalents in T₁-quasi-uniform spaces ⋮ Variational Principles in Analysis and Existence of Minimizers for Functions on Metric Spaces ⋮ A note on some fundamental results in complete gauge spaces and application ⋮ On the continuation method and the nonlinear alternative for Caristi-type non-self-mappings

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