New Generalized Ekeland's Variational Principle, Critical Point Theorems and Common Fuzzy Fixed Point Theorems Induced by Lin-Du's Abstract Maximal Element Principle

New Generalized Ekeland's Variational Principle, Critical Point Theorems and Common Fuzzy Fixed Point Theorems Induced by Lin-Du's Abstract Maximal Element Principle

In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, maximal element theorem, generalized Ekeland's variational principle and common (fuzzy) fixed point theorem for essential distances.

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Veröffentlicht in:Axioms 2021-01, Vol.10 (1), p.11, Article 11
Hauptverfasser: Zhao, Junjian, Du, Wei-Shih
Format: Artikel
Sprache:eng
Schlagworte:
Critical point
Existence theorems
fixed point
Fixed points (mathematics)
fuzzy mapping
Fuzzy sets
Mathematical functions
Mathematics
Mathematics, Applied
maximal element
Physical Sciences
Science & Technology
sizing-up function
Theorems
Upper bounds
μ-bounded quasi-ordered set
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Zusammenfassung:In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, maximal element theorem, generalized Ekeland's variational principle and common (fuzzy) fixed point theorem for essential distances.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms10010011