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2015•International Journal of Mathematics and Mathematical SciencesOpen access

Common Fixed Points of Locally Contractive Mappings in Multiplicative Metric Spaces with Application

Mujahid Abbas, Bashir Ali, Yusuf I. Suleiman

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Abstract

The aim of this paper is to present common fixed point results of quasi-weak commutative mappings on a closed ball in the framework of multiplicative metric spaces. Example is presented to support the result proved herein. We also study sufficient conditions for the existence of a common solution of multiplicative boundary value problem. Our results extend and improve various recent results in the existing literature.

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What this paper is about

The aim of this paper is to present common fixed point results of quasi-weak commutative mappings on a closed ball in the framework of multiplicative metric spaces. Example is presented to support the result proved herein. We also study sufficient conditions for the existence of a common solution of multiplicative boundary value problem. Our results extend and improve various recent results in the existing literature.

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Available abstract

The aim of this paper is to present common fixed point results of quasi-weak commutative mappings on a closed ball in the framework of multiplicative metric spaces. Example is presented to support the result proved herein. We also study sufficient conditions for the existence of a common solution of multiplicative boundary value problem. Our results extend and improve various recent results in the existing literature.

Key concepts: Mathematics, Multiplicative function, Metric space, Fixed point, Ball (mathematics), Coincidence point, Pure mathematics, Commutative property

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