Introduces relaxed asymptotic contractions via two quasi-metrics and proves fixed point existence, uniqueness, and convergence in complete metric spaces with continuous maps and bounded orbits, generalizing Kirk's theorem.
Davis,Applied Nonstandard Analysis.2rd Edition, New York, 2005
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Fixed Point Theorems for Relaxed Asymptotic Contractions via Two Quasi-Metrics
Introduces relaxed asymptotic contractions via two quasi-metrics and proves fixed point existence, uniqueness, and convergence in complete metric spaces with continuous maps and bounded orbits, generalizing Kirk's theorem.