A Fixed Point on Generalised Cone Metric Spaces
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초록
The study of fixed points of mappings satisfying certain contractive conditions has been very active area of research. Recently Long-Guang and Xian [9] generalised the concept of a metric space, by introducing cone metric spaces, and obtained some fixed point theorem for mappings satisfying certain contractive conditions. One can consider a generalisation of a cone metric space by replacing the triangle inequality by a more general inequality. As such, every cone metric is a generalised cone metric space but the converse is not true. However the interesting point to note that two very important fixed point theorems, namely Banach's fixed point theorem and Ciric's fixed point theorem have already establised in such a space. In this paper we continue in this direction and prove a fixed point theorem of Boyed and Wang [2],[5] under fairly general condition a generalised cone metric spaces.
Abstract
The study of fixed points of mappings satisfying certain contractive conditions has been very active area of research. Recently Long-Guang and Xian [9] generalised the concept of a metric space, by introducing cone metric spaces, and obtained some fixed point theorem for mappings satisfying certain contractive conditions. One can consider a generalisation of a cone metric space by replacing the triangle inequality by a more general inequality. As such, every cone metric is a generalised cone metric space but the converse is not true. However the interesting point to note that two very important fixed point theorems, namely Banach's fixed point theorem and Ciric's fixed point theorem have already establised in such a space. In this paper we continue in this direction and prove a fixed point theorem of Boyed and Wang [2],[5] under fairly general condition a generalised cone metric spaces.
참고문헌 (13)
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