Fixed Points of a New Type of Contractive mappings in $G-$Metric Spaces


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Authors

  • Animesh Gupta H.No. 93/654, Ward No. 2, Gandhi Chowk Pachmarhi, Hoshangabad, Madhya Pradesh, India
  • Prahalad Singh Kaurav Department of Mathematics, Government P.G. College, Gadarwara, Narsingpur, Madhya Pradesh, India

Keywords:

$F-$contraction, contractive mapping, fixed point, $G-$metric space

Abstract

In this paper, using a mapping $F: \mathbb{R}^+ \to \mathbb{R}$, a new notion of contraction in $G$-metric space is introduced and related fixed point theorem which generalizes various known results in $G-$metric spaces. The paper includes an example which shows the validity of our results.

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Published

15-12-2019

How to Cite

Animesh Gupta, & Prahalad Singh Kaurav. (2019). Fixed Points of a New Type of Contractive mappings in $G-$Metric Spaces. International Journal of Mathematics And Its Applications, 7(4), 95–100. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/210

Issue

Vol. 7 No. 4 (2019)

Section

Research Article

License

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.