Browsing by Author "Abuloha, Muhib"

Now showing 1 - 3 of 3

Citation - WoS: 6
Citation - Scopus: 5
Fixed Points of Generalized Contraction Mappings in Cone Metric Spaces
(Univ Osijek, dept Mathematics, 2011) Turkoglu, Duran; Abdeljawad, Thabet; Abuloha, Muhib; Abdeljawad, Thabet; Matematik
In this paper, we proved a fixed point theorem and a common fixed point theorem in cone metric spaces for generalized contraction mappings where some of the main results of Ciric in [8, 27] are recovered.
Citation - WoS: 39
Citation - Scopus: 50
Kkm Mappings in Cone Metric Spaces and Some Fixed Point Theorems
(Pergamon-elsevier Science Ltd, 2010) Abuloha, Muhib; Abdeljawad, Thabet; Turkoglu, Duran
In this paper, we define KKM mappings in cone metric spaces and define NR-cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045-1052]. (C) 2009 Elsevier Ltd. All rights reserved.
Citation - WoS: 35
Some Theorems and Examples of Cone Banach Spaces
(Eudoxus Press, Llc, 2010) Abdeljawad, Thabet; Abdeljawad, Thabet; Turkoglu, Duran; Abuloha, Muhib; Matematik
In this paper, by defining a cone norm parallel to.parallel to(A) on E over itself which behaves like the absolute value norm on R, we construct examples of cone Banach spaces. Namely, we define the m-Euclidian cone normed space E-m, E-infinity and the space C-E(S) of continuous functions in cones, to generalize the Banach spaces R-m, l(infinity) and C [a, b], respectively. Some basic lemmas and theorems are also proved to help in the construction and in the proof of completeness of the above mentioned examples of cone normed spaces.