New applications of the metatheorem in ordered fixed point theory
Keywords:
Quasi-metric space, fixed point, RHR contraction principle, orbitally complete, orbitally continuousAbstract
Our aim in this paper is to and new applications of our long- standing 2023 Metatheorem. In fact, a certain particular form of Metatheorem on fixed point theorems characterizes metric completeness. Moreover, classical theorems due to Banach, Rus-Hicks-Rhoades, Nadler, Covitz-Nadler, Oettli- Thera, Edelstein, Turinici, Taskovic, Khamsi and ourselves are equivalently formulated or improved by applying Metatheorem.
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Copyright (c) 2025 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)
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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications
This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
