MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
A common fixed point theorem for weakly compatible mappings in non-Archimedean Menger PM-spaces
Amit Singh, R.C. Dimri and Sandeep Bhatt

Abstract

In the present paper we prove a unique common fixed point theorem for four weakly compatible self maps in non-Archimedean Menger PM-spaces without using the notion of continuity. Our result generalizes 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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Keywords: Non-Archimedean Menger PM-spaces; weakly compatible maps; common fixed point.

MSC: 47H10, 54H25

Pages:  285--294     

Volume  63 ,  Issue  3 ,  2011