Fixed Point Theorems in Quasi Semi linear 2-Normed Space


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Authors

  • B. Stephen John Department of Mathematics, Annai Velankanni College, Tholayavattom, Tamil Nadu, India
  • S. N. Leena Nelson Department of Mathematics, Women’s Christian College, Nagercoil, Tamil Nadu, India

Keywords:

Linear 2-normed space, quasi semi linear 2-normed space, $\varphi'$-contraction mapping, fixed points

Abstract

C. Park [9] introduced the term of a quasi 2-normed space. Also he proved some properties of quasi 2-norm and M. Kir and M. Acikgoz [7] elaborated the procedure for completing the quasi 2-normed space. In this paper, we introduced quasi semi linear 2-normed spaces and $\varphi'$-contraction mapping in these spaces are defined. It is investigated that under suitable conditions, $\varphi'$-contraction mapping have fixed points in quasi semi linear 2-normed spaces.

 

 

Author Biographies

B. Stephen John, Department of Mathematics, Annai Velankanni College, Tholayavattom, Tamil Nadu, India

 

 

S. N. Leena Nelson, Department of Mathematics, Women’s Christian College, Nagercoil, Tamil Nadu, India

 

 

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Published

15-03-2018

How to Cite

B. Stephen John, & S. N. Leena Nelson. (2018). Fixed Point Theorems in Quasi Semi linear 2-Normed Space. International Journal of Mathematics And Its Applications, 6(1 - E), 1057–1061. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1182

Issue

Vol. 6 No. 1 - E (2018)

Section

Research Article

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