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Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2022 / Cilt: 6 Sayı: 4

Equivalents of Ordered Fixed Point Theorems of Kirk, Caristi, Nadler, Banach, and others

Sehie Park(The National Academy of Sciences, Republic of Korea, Seoul 06579; and Department of Mathematical Sciences, Seoul National University, Seoul 08826)
Sayfa
420–432
Yayın Tarihi
2022-12-30
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Such theorems are the ones due to Banach, Nadler, Browder-Göhde-Kirk, Caristi-Kirk, Caristi, Brøndsted, and possibly many others.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Recently, we improved our long-standing Metatheorem in Fixed Point Theory.
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Temel Bulgular & Veri:In this paper, as its applications, some well-known order theoretic fixed point theo- rems are equivalently formulated to existence theorems on maximal elements, com- mon fixed points, common stationary points, and others.
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Sonuç & Katkı:Such theorems are the ones due to Banach, Nadler, Browder-Göhde-Kirk, Caristi-Kirk, Caristi, Brøndsted, and possibly many others.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:fixed point theorem · pre-order metric space · fixed point

Abstract

Recently, we improved our long-standing Metatheorem in Fixed Point Theory. In this paper, as its applications, some well-known order theoretic fixed point theo- rems are equivalently formulated to existence theorems on maximal elements, com- mon fixed points, common stationary points, and others. Such theorems are the ones due to Banach, Nadler, Browder-Göhde-Kirk, Caristi-Kirk, Caristi, Brøndsted, and possibly many others.

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Bu Makaleye Atıf Yap

Park, S. (2022). Equivalents of Ordered Fixed Point Theorems of Kirk, Caristi, Nadler, Banach, and others. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 6 Sayı: 4, 420–432. https://doi.org/10.31197/atnaa.1127248

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Kaynakça (29)

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