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.