On extended versions of Dancs-Hegedüs-Medvegyev’s fixed-point theorem

DOI10.1080/02331934.2015.1113533zbMath1369.49020arXiv1508.01925OpenAlexW1938911317WikidataQ57580646 ScholiaQ57580646MaRDI QIDQ5277984

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Publication date: 12 July 2017

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01925

zbMATH Keywords

fixed-pointEkeland variational principlequasi metricforward convergenceforward Cauchy sequence

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Variational methods involving nonlinear operators (47J30) Set-valued and variational analysis (49J53) Contents, measures, outer measures, capacities (28A12) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Cites Work

• Critical point theorems and Ekeland type variational principle with applications
• On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings
• A generalized distance and enhanced Ekeland's variational principle for vector functions
• Cauchy sequences in quasi-pseudo-metric spaces
• Existence results for energetic models for rate-independent systems
• Some variants of the Ekeland variational principle for a set-valued map
• A pre-order principle and set-valued Ekeland variational principle
• Variational analysis in psychological modeling
• Dual variational methods in critical point theory and applications
• Fixed points and variational principles with applications to capability theory of wellbeing via variational rationality
• Functional Analysis in Asymmetric Normed Spaces
• Bitopological Spaces
• Nonconvex minimization problems
• On Quasi-Metric Spaces
• Set-valued Optimization
• Encyclopedia of Distances

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