@article{2250973b2fcc4964b6a396d6ae5157ae,

title = "A fixed point theorem for monotone asymptotically nonexpansive mappings",

abstract = "Let C be a nonempty, bounded, closed, and convex subset of a Banach space X and T : C → C be a monotone asymptotically nonexpansive mapping. In this paper, we investigate the existence of fixed points of T. In particular, we establish an analogue to the original Goebel and Kirk{\textquoteright}s fixed point theorem for asymptotically nonexpansive mappings.",

keywords = "And phrases, Asymptotic nonexpansive mapping, Fixed point, Monotone mapping, Partially ordered, Uniformly convex",

author = "Alfuraidan, {Monther Rashed} and Khamsi, {Mohamed Amine}",

note = "Funding Information: The authors would like to acknowledge the support provided by the deanship of scientific research at King Fahd University of Petroleum & Minerals for funding this work through project No. IP142-MATH-111. Funding Information: The authors would like to acknowledge the support provided by the deanship of scientific research at King Fahd University of Petroleum and Minerals for funding this work through project No. IP142-MATH-111. Publisher Copyright: {\textcopyright} 2018 Amerian Mathematial Soiety.",

year = "2018",

doi = "10.1090/proc/13385",

language = "British English",

volume = "146",

pages = "2451--2456",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "6",

}