| 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.
|
Keywords: Non-Archimedean Menger PM-spaces; weakly compatible maps; common fixed point. |
MSC: 47H10, 54H25 |
Pages: 285$-$294 |
Volume 63 , Issue 3 , 2011 |
