International Mathematical Forum, Vol. 17, 2022, no. 2, 61 - 66 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/imf.2022.912309 On Unbounded Order Weakly Demicompact Operators Omer Gok Yildiz Technical University Faculty of Arts and Sciences Mathematics Department 34210, Davutpasa, Istanbul, Turkey Elif Demir Yildiz Technical University Faculty of Arts and Sciences Mathematics Department 34210, Davutpasa, Istanbul, Turkey This article is distributed under the Creative Commons by-nc-nd Attribution License. Copyright c 2022 Hikari Ltd. Abstract In this paper, our aim is to introduce the notion of unbounded order weakly demicompact operators.By using it, we generalize some results regarding the characterizations of unbounded order weakly demicom- pact operators. Mathematics Subject Classification: 46A40, 46B42, 47B65, 47B60, 47B07 Keywords: vector lattice, normed lattice, Banach lattice, order conver- gence, unbounded order convergence, unbounded norm convergence 1 Introduction A lot of authors studied order weakly compact operators such as Dodds [4], Meyer - Nieberg [6] and so on.Demicompact operators were introduced by