A common fixed point theorem for weakly compatible mappings in non-Archimedean Menger PM-spaces

Authors

  • Amit Singh Post Box-100, Department of Mathematics, H.N.B. Garhwal University, Srinagar (Garhwal), Uttarakhand-246174, INDIA Author
  • R.C. Dimri Post Box-100, Department of Mathematics, H.N.B. Garhwal University, Srinagar (Garhwal), Uttarakhand-246174, INDIA Author
  • Sandeep Bhatt Post Box-100, Department of Mathematics, H.N.B. Garhwal University, Srinagar (Garhwal), Uttarakhand-246174, INDIA Author

Keywords:

Non-Archimedean Menger PM-spaces, weakly compatible maps, common fixed point

Subjects:

47H10, 54H25

Abstract

In the present paper we prove a unique common fixed point theoremfor four weakly compatible self maps in non-Archimedean MengerPM-spaces without using the notion of continuity. Our resultgeneralizes and extends the results of Khan and Sumitra [M.A. Khan, Sumitra, A common fixed point theorem in non-Archimedean Menger PM-space,Novi Sad J. Math. 39 (1) (2009), 81–87] and others.

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Published

2011-10-15

Issue

Vol. 63 No. 4 (2011): Vol. 63, Issue 4

Section

Articles

License

Copyright (c) 2011 Authors retain copyright to their work.

Creative Commons License

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