COMMON FIXED POINT THEOREMS FOR WEAKLYCOMPATIBLE MAPPINGS IN MENGER SPACES
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2003, v.10 no.4, pp.245-254
Sharma, S.
Choubey, K.
Sharma,,
S.
, &
Choubey,,
K.
(2003). COMMON FIXED POINT THEOREMS FOR WEAKLYCOMPATIBLE MAPPINGS IN MENGER SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 10(4), 245-254.
Abstract
In this paper we prove common fixed point theorems for four mappings, under the condition of weakly compatible mappings in Menger spaces, without taking any function continuous. We improve results of [A common fixed point theorem for three mappings on Menger spaces. Math. Japan. 34 (1989), no. 6, 919-923], [On common fixed point theorems of compatible mappings in Menger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546].
- keywords
-
metric space,
weakly compatible mappings,
common fixed point