Remarks on the metatheorem in ordered fixed point theory

S Park - Advanced Mathematical Analysis and its Applications, 2023 - taylorfrancis.com
Motivated by the Ekeland variational principle, we obtained a Metatheorem in 1985-87
stating that some well-known order theoretic fixed point theorems can be equivalently …

Equivalents of maximum principles for several spaces

S Park - Topological Algebra and its Applications, 2022 - degruyter.com
According to our long-standing Metatheorem, certain maximum theorems can be
equivalently reformulated to various types of fixed point theorems, and conversely. As …

Equivalents of some ordered fixed point theorems

S Park - Journal of Advances in Mathematics and Computer …, 2023 - asian.go4publish.com
Some ordered fixed point theorems on metric spaces are equivalent to completeness and
existences of maximal (or minimal) elements, common fixed points, common stationary …

[PDF][PDF] An instructive treatment of the Brézis–Browder ordering and maximality principles

M Iqbal, A Száz - 2023 - researchgate.net
In this paper, the widely used ordering and maximality principles of Haim Brézis and Felix
Browder, together with their proofs, are slightly generalized in content and greatly improved …

[PDF][PDF] Variants of the new Caristi theorem

S Park - Advances in the Theory of Nonlinear Analysis and its …, 2023 - dergipark.org.tr
The well-known Caristi fixed point theorem has numerous generalizations and
modifications. Recently there have appeared its equivalent dual forms and generalizations …

Report of Meeting: The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities Brenna (Poland), February 2–5, 2022

P Burai, M Bessenyei, Z Boros… - Annales Mathematicae …, 2022 - opus.us.edu.pl
The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and
Inequalities was held in Hotel Kotarz in Brenna, Poland, from February 2 to February 5 …

[PDF][PDF] Equivalents of Various Principles of Zermelo, Zorn, Ekeland, Caristi and Others

S Park - researchgate.net
Motivated by the Ekeland variational principle, we obtained a Metatheorem in 1985-87
stating that some wellknown existence of maximal elements can be equivalently formulated …