Existence of Common Fixed Points under Compatible Maps
Keywords:
Existence of common fixed points, Compatible maps, Self-mapping
Abstract
In this paper we have studied existence of common fixed points under compatible maps. Meir and Keeler established a fixed point theorem for self-mapping f of a metric space. Maiti and Pal generalized this mapping. We will prove our result by using Jungck lemma. We will genralise and improve several results of Meir and Keeler type under commuting and weakly commuting pair of mappings and uniqueness of Common Fixed Point.
References
G.Jungck, Compatible mappings and common fixed points, Int. J. Math. & Math. Sci., 9(1986), 771-779.
G.Jungck and B.E.Rhoades, Some fixed fixed points theorems for compatible maps, Int. J. Math. & Math. Sci., 16(1993), 417-428.
S.Park and B.E.Rhoades, Meir-Keeler type contractive conditions, Math. Japanica, 26(1)(1981), 13-20.
H.K.Pathak, A Meir-Keeler type fixed point theorem for weakly uniformly contraction maps, Bull. Malasian Math soc. (IT series), 13 (1990), 21-29.
H.K.Pathak, A note on fixed point theorem of Rao-Rao, Bull. Calcutta Math. Soc., 79 (1987), 267-273.
G.Jungck and B.E.Rhoades, Some fixed fixed points theorems for compatible maps, Int. J. Math. & Math. Sci., 16(1993), 417-428.
S.Park and B.E.Rhoades, Meir-Keeler type contractive conditions, Math. Japanica, 26(1)(1981), 13-20.
H.K.Pathak, A Meir-Keeler type fixed point theorem for weakly uniformly contraction maps, Bull. Malasian Math soc. (IT series), 13 (1990), 21-29.
H.K.Pathak, A note on fixed point theorem of Rao-Rao, Bull. Calcutta Math. Soc., 79 (1987), 267-273.
How to Cite
Dr.Shabnam Khan. (2016). Existence of Common Fixed Points under Compatible Maps. International Journal of Current Research in Science and Technology, 2(1), 1-4. Retrieved from https://crst.gfer.org/index.php/crst/article/view/49
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