Sub-compatible maps, weakly commuting maps and common fixed points in cone metric spaces
Authors: Murthy P.P., Tas K., Rashmi K., Mishra L.N.
Keywords: sub-compatible maps; weakly commuting mappings; fixed point
Abstract:
The purpose of this paper is to obtain some common fixed point theorems under weaker conditions such as sub compatible mappings and weakly commuting with respect g in the setting of non-normal cone metric space.
References:
[1] Bouhadjera, H., Godet-Thobie, C. (2009) Common fixed point theorems for pairs of subcompatible maps. Math. Jun FA, 17 Jun
[2] Choudhury, B.S., Metiya, N. (2010) The point of coincidence and common fixed point for a pair of mappings in cone metric spaces. Computers & Mathematics with Applications, 60(6): 1686-1695
[3] Huang, L., Zhang, X. (2007) Cone metric spaces and fixed point theorems of contractive mappings. Journal of Mathematical Analysis and Applications, 332(2): 1468-1476
[4] Jungck, G., Murthy, P.P., Cho, Y. (1993) Compatible mappings of type $(A)$ and common fixed points. Mathematica Japonica, 38, 2, 381-390
[5] Jungck, G. (1986) Compatible mappings and common fixed points. Internat. J. Math. Math. Sci., 9, 4, 771-779
[6] Jungck, G. (1976) Commuting maps and fixed points. Amer. Math. Monthly, 83, 261-263
[7] Rezapour, S.H. (2008) A review of topological properties of cone metric spaces. u: Proc. Of the conf. on Analysis, Topology and Applications, May-June 2008, Vrnjacka Banja, Serbia
[8] Sessa, S. (1982) On a weak commutativity condition of mappings in fixed point considerations. Publications de l’Institut mathematique, 32(46), 149-153