Common Fixed Point theorem in Cone Metric Spaces Over Banach Algebras

S. K. Malhotra, P. K. Bhargava, S. Shukla
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Abstract

In this paper, a common fixed point theorem for four mappings in cone metric spaces over Banach algebras is proved without assuming the normality of underlying cone. The results of this paper unify, generalize and extend some known results in cone metric spaces over Banach algebras. An example is presented which shows the significance of the result proved herein.
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Banach代数上锥度量空间的公共不动点定理
本文证明了Banach代数上锥度量空间中四个映射的一个公共不动点定理,而不需要假设下锥的正态性。本文的结果统一、推广和推广了Banach代数上圆锥度量空间中一些已知的结果。最后给出了一个算例,说明了所得结果的意义。
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