Advances in the Theory of Nonlinear Analysis and its Application

Yazarlar: ["Sehie PARK Bu kişi benim"]

Konular:-

DOI:10.31197/atnaa.1127248

Anahtar Kelimeler:Fixed point theorem,Pre-order metric space,Fixed point,Stationary point,Stationary point,Maximal element

Özet: 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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