Kleene Fixed Point Theorems and Applications

Mihai Turinici ()
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Mihai Turinici: A. I. Cuza University

A chapter in Exploring Mathematical Analysis, Approximation Theory, and Optimization, 2023, pp 381-429 from Springer

Abstract: Abstract A couple of Kleene fixed point principles is discussed on (partially) ordered spaces. Then, some applications of these—including the Caristi-Kirk principles and Banach-Matkowski results—are given.

Keywords: Order; Semi-progressive; Increasing; Supremum; Admissible property; Fixed point; Metric; Caristi-Kirk and Banach-Matkowski type contraction; 47H10 (Primary); 54H25 (Secondary) (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-46487-4_16

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DOI: 10.1007/978-3-031-46487-4_16

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