Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces
Author(s) -
Sahar Mohammad Abusalim,
Mohd Salmi Md Noorani
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/815289
Subject(s) - mathematics , metric space , dual cone and polar cone , cone (formal languages) , generalization , metric (unit) , fixed point , fixed point theorem , convex metric space , pure mathematics , intrinsic metric , space (punctuation) , injective metric space , discrete mathematics , mathematical analysis , geometry , algorithm , computer science , operations management , regular polygon , economics , operating system
The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature to ordered cone b-metric spaces. Some supporting examples are given
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