2014•Asian Journal of Fuzzy and Applied MathematicsRequires access

A Common Fixed Point Theorem for Asymptotically Regular in Cone Metric Spaces

K. Prudhvi

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Abstract

In this paper, we prove a unique common fixed point theorem for asymptotically regular self-maps in cone metric spaces without appealing to commutativity condition and which extends metric space into cone metric space. These results extend and generalize several well-known comparable results in the literature.

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What this paper is about

In this paper, we prove a unique common fixed point theorem for asymptotically regular self-maps in cone metric spaces without appealing to commutativity condition and which extends metric space into cone metric space. These results extend and generalize several well-known comparable results in the literature.

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Available abstract

In this paper, we prove a unique common fixed point theorem for asymptotically regular self-maps in cone metric spaces without appealing to commutativity condition and which extends metric space into cone metric space. These results extend and generalize several well-known comparable results in the literature.

Key concepts: Mathematics, Metric space, Cone (formal languages), Injective metric space, Dual cone and polar cone, Fixed-point theorem, Convex metric space, Intrinsic metric

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