Some Common Fixed Point Theorems For Nonexpansive Type Mappings In 2-Metric Spaces


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Authors

  • Ritu Sahu Department of Mathematics, People’s College of Research & Technology, Bhopal, India
  • P. L. Sanodia Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, India
  • Arvind Gupta Department of Mathematics, Government Motilal Vigyan Mahavidhyalaya, Bhopal, India

Keywords:

2-metric spaces, nonexpansive mapping, compatible mappings compatible mapping of type (A)

Abstract

The aim of this paper is to prove some common fixed point theorems for weakly compatible mappings under nonexpansive type conditions in the setting of 2-metric spaces. Our result extend and generalizes corresponding results of Singh, Adiga and Giniswami [9] and Liu and Zhang [7].

 

 

Author Biographies

Ritu Sahu, Department of Mathematics, People’s College of Research & Technology, Bhopal, India

 

 

P. L. Sanodia, Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, India

 

 

Arvind Gupta, Department of Mathematics, Government Motilal Vigyan Mahavidhyalaya, Bhopal, India

 

 

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Published

29-02-2016

How to Cite

Ritu Sahu, P. L. Sanodia, & Arvind Gupta. (2016). Some Common Fixed Point Theorems For Nonexpansive Type Mappings In 2-Metric Spaces. International Journal of Mathematics And Its Applications, 4(1 - C), 75–84. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/597

Issue

Vol. 4 No. 1 - C (2016)

Section

Research Article

License

Creative Commons License

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