Orbital completeness and fixed points of (δ, k)−weak contractions
Abstract
Extension of Ciric’s (Proc. Amer. Math. Soc. N0. 45 (1974), 267 - 273) asymptotic fixed point theorem for quasi-contractions in T−orbitally complete metric spaces is obtained for the class of (δ, k)−weak contractions studied by Berinde (Carpath. J. Math. 19(1):7-22, 2003; Nonlinear Anal. Forum 9(1): 43-53, 2004). Our results are significant extensions of those of Ciric and Berinde mentioned above and numerous others in literature.
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Xavier Udo-utun, Orbital completeness and fixed points of (δ, k)−weak contractions, Adv. Fixed Point Theory, 9 (2019), 206-213. https://doi.org/10.28919/afpt/1744
Copyright © 2019 Xavier Udo-utun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.