SOME COMMON FIXED POINT RESULTS IN NON-NORMAL CONE METRIC SPACES

The aim of this paper is to obtain extended variants of some common fixed point results in cone metric spaces in the case that the underlying cone is not normal. The first result concerns g-quasicontractions of D. Ilic and V. Rako·cevic [Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341 (2008), 876-882], and the second is concerned with Hardy- Rogers-type conditions and extends some recent results of M. Abbas, B. E. Rhoades and T. Nazir [Common fixed points for four maps in cone metric spaces, Appl. Math. Comput. 216 (2010), 80-86].