Banach fixed point theorem for Contraction Mapping Principle in a Cone b-pentagonal metric spaces

J.Uma Maheshwari; A. Anbarasan

doi:https://doi.org/10.14445/22315373/IJMTT-V37P534

International Journal of Mathematics Trends and Technology

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Volume 37 | Number 4 | Year 2016 | Article Id. IJMTT-V37P534 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P534

Banach fixed point theorem for Contraction Mapping Principle in a Cone b-pentagonal metric spaces

J.Uma Maheshwari, A. Anbarasan

Abstract

In this paper, we introduce new space cone b-pentagonal met- ric spaces and use this space to prove Banach fixed point theorem for Contraction Mapping Principle in cone b-pentagonal metric spaces without assuming the normality condition.Our results improve and extend recent known results.

Keywords

Cone b-pentagonal metric space,b-metric space,fixed points, contraction mapping principle,ordered Banach space.

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Citation :

J.Uma Maheshwari, A. Anbarasan, "Banach fixed point theorem for Contraction Mapping Principle in a Cone b-pentagonal metric spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 4, pp. 243-252, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P534