Cone metric spaces and fixed point theorems of contractive mappings
C. Vijender
Abstract
C. Vijender
Abstract
In this paper we introduce cone metric spaces, prove some fixed point theorems of contractive mappings on cone metric spaces. In this paper, we replace the real numbers by ordering Banach space and define cone metric spaces (X, d ). We discuss some properties of convergence of sequences. We prove some fixed point theorems for contractive mappings. Our results generalized some fixed point theorems in metric spaces.
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In this paper we introduce cone metric spaces, prove some fixed point theorems of contractive mappings on cone metric spaces. In this paper, we replace the real numbers by ordering Banach space and define cone metric spaces (X, d ). We discuss some properties of convergence of sequences. We prove some fixed point theorems for contractive mappings. Our results generalized some fixed point theorems in metric spaces.
Key concepts: Metric space, Computer science, Cone (formal languages), Fixed-point theorem, Fixed point, Metric (unit), Mathematics, Discrete mathematics