On some common fixed point results for two infinite families of uniformly L-Lipschitzian total asymptotically quasi-nonexpansive mappings
Buraskorn Nuntadilok, Pitchaya Kingkam, Jamnian Nantadilok, Khanitin Samanmit · Fixed Point Theory and Algorithms for Sciences and Engineering · 2024
Abstract In this manuscript, we introduce a new class of uniformly L-Lipschitzian and total asymptotically quasi-nonexpansive mappings, which is significantly more general than many known nonexpansive mappings that appeared before. We establish some convergence and Δ-convergence theorems for two infinite families of such mappings in the setting of CAT(κ) spaces. Our results refine, generalize, and improve several corresponding results in the existing literature.