A COMMON FIXED POINT THEOREM VIA FAMILY OF R-WEAKLY COMMUTING MAPS

Authors

  • D. Singh Department of Applied Sciences, NITTTR Bhopal, (M.P.) India
  • A. Ahmed Bansal Institute of Sciene & Technology, Kokta Anand Nagar Bhopal (M.P.) India
  • M. Singh Jai Narayan College of Tech. Bhopal (M.P.) India
  • S. S. Tomar VNS Institute of Sci. & tech. Bhopal (M.P.) India.

Keywords:

Non-Archimedean Menger PM-spaces, R-weakly commuting maps, Common fixed point

Abstract

In the present paper we prove a unique common fixed point theorem for a family of R-weakly commuting maps in non-Archimedean Menger PM-spaces without using the notion of continuity. our result generalizes and extends the result of Khan and Sumitra [5] and other, also suggest a path to a new inequality containing rational, product and minimum of some terms under implicit relation.

Additional Files

Published

07/24/2013

How to Cite

Singh, D., Ahmed, A., Singh, M., & Tomar, S. S. . (2013). A COMMON FIXED POINT THEOREM VIA FAMILY OF R-WEAKLY COMMUTING MAPS. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 5(1), 115–123. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2743

Issue

Vol. 5 No. 1 (2014): JNAO

Section

Research Articles

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Creative Commons License

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