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Wojciech M. Kozlowski, A note on a fixed point theorem in modulated LTI-spaces

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DOI: 10.23952/asvao.6.2024.1.03
Volume 6, Issue 1, 1 April 2024, Pages 31-39

 

Abstract. The aim of the paper is to re-visit the 1990 Khamsi-Kozlowski-Reich Fixed Point Theorem, which initiated a flourishing field of fixed point theory in modular function spaces. Our result generalises this theorem as well as other classical fixed point theorems, including celebrated 1965 result of Kirk. As the common setting for our investigation, we choose the modulated LTI-spaces defined as modular spaces equipped with a sequential convergence structure, which allows also to use convergence types not associated with any topology (like convergence almost everywhere).

 
How to Cite this Article:
W.M. Kozlowski, A note on a fixed point theorem in modulated LTI-spaces, Appl. Set-Valued Anal. Optim. 6 (2024), 31-39.