Fixed Point Theorem for Contractions of Rational Type in Ordered 2-Metric Spaces


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Authors

  • Sukh Raj Singh Department of Mathematics, J.H.Government P.G.College, Betul (M. P.), India
  • R. D. Daheriya Department of Mathematics, J.H.Government P.G.College, Betul (M. P.), India
  • Rashmi Jain Department of Mathematics, J.H.Government P.G.College, Betul (M. P.), India
  • Manoj Ughade Department of Mathematics, Sarvepalli Radhakrishnan University, Bhopal (M. P.), India

Keywords:

Fixed point, 2-metric space, contractions, partially ordered set, altering distance function

Abstract

In this paper, we prove some fixed point theorems for mappings involving rational expression in the framework of 2-metric spaces endowed with a partial order using a class of pairs of functions satisfying certain assumptions.

 

Author Biographies

Sukh Raj Singh, Department of Mathematics, J.H.Government P.G.College, Betul (M. P.), India

 

 

R. D. Daheriya, Department of Mathematics, J.H.Government P.G.College, Betul (M. P.), India

 

 

Rashmi Jain, Department of Mathematics, J.H.Government P.G.College, Betul (M. P.), India

 

 

Manoj Ughade, Department of Mathematics, Sarvepalli Radhakrishnan University, Bhopal (M. P.), India

 

 

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Published

01-06-2016

How to Cite

Sukh Raj Singh, R. D. Daheriya, Rashmi Jain, & Manoj Ughade. (2016). Fixed Point Theorem for Contractions of Rational Type in Ordered 2-Metric Spaces. International Journal of Mathematics And Its Applications, 4(2 - C), 133–147. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1054

Issue

Vol. 4 No. 2 - C (2016)

Section

Research Article

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