Common fixed points under contractive conditions in cone metric spaces

The aim of this paper is to present coincidence point result for two mappings in cone metric space which satisfy new contractive conditions. Our results generalize fixed point theorems of Jungck [G. Jungck, Commuting maps and fixed points, Amer. Math. Monthly 83 (1976) 261 263], Abbas Jungck [M. Abbas, G. Jungck, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341 (2008) 416 420] and Fisher [B. Fisher, Four mappings with a common fixed point. (Arabic summary), J. Univ. Kuwait Sci. 8 (1981) 131 139] in cone metric spaces to symmetric spaces.