Random Fixed Point Result of Weak Contraction

Authors

  • Manoj Kumar Shukla Department of Mathematics, Govt. Model Science College, Jabalpur, (MP)
  • Arjun Kumar Mehra

Keywords:

Random operator, Cone Random Metric Space, Cauchy Sequence, Random Fixed Point

Abstract

We define Cone random metric space and find some fixed point results for weak contraction condition.

References

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. Huang, L.G., Zhang, X., Cone metric spaces and a fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007), 1468-1476.

. Smriti Mehta, A.D. Singh, P.L.Sanodia and V.B. Dhagat, “Fixed Point Theorems for Weak ontractions in Cone Random Metric Spaces†Bull. Cal.Math. Soc. (2011), 103(4) pp303-310.

. Sumitra, V.R., Uthariaraj,R. Hemavathy, Common Fixed Point Theorem For T-Hardy Rogers Contraction Mapping in a Cone Metric Space, International Mathematical Forum5(2010), 1495-1506.

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Published

2014-03-03

How to Cite

Shukla, M. K., & Mehra, A. K. (2014). Random Fixed Point Result of Weak Contraction. Asian Journal of Fuzzy and Applied Mathematics, 2(1). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/792