2016International Journal Of Engineering And Computer ScienceRequires access

Cone metric spaces and fixed point theorems of contractive mappings

C. Vijender

Open publisher page 3 citations

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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What this paper is about

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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Available 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.

Key concepts: Metric space, Computer science, Cone (formal languages), Fixed-point theorem, Fixed point, Metric (unit), Mathematics, Discrete mathematics

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