International Journal of Pure and Applied Mathematics Volume 109 No. 3 2016, 573-582 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu doi: 10.12732/ijpam.v109i3.7 P A ijpam.eu SOME FIXED POINT RESULTS IN FUZZY CONE METRIC SPACES N. Priyobarta 1 § , Yumnam Rohen 2 , B.B. Upadhyay 3 1,2,3 Department of Mathematics NIT Manipur Imphal, 795001, INDIA Abstract: In this manuscript, we prove some common fixed point theorems for occasionally weakly compatible mappings in fuzzy cone metric space. AMS Subject Classification: 46S40, 54H25 Key Words: t-norm, fuzzy cone metric space, occasionally weakly compatible mappings 1. Introduction The concept of fuzzy set was introduced by L.A. Zadeh [1] in 1965. After that many authors developed the theory of fuzzy sets and its applications. Kramosil and Michaleck [2] introduced fuzzy metric space in 1975. In 1999, R. Vasuki [3] proved fixed point theorems for R-weakly commutating mappings. In 2007, Huang and Zhang [4] introduced the concept of cone metric space and proved some fixed point theorems for contractive mappings. In 2015, Tarkan Oner et al. [5] itroduced the concept of fuzzy cone metric space that generalized the corresponding notions of fuzzy metric space by George and Veeramani [6] and proved the fuzzy cone Banach contraction theorem. In recent past, sev- eral authors proved various fixed point theorems employing more generalized conditions. Received: May 2, 2016 Revised: July 14, 2016 Published: September 30, 2016 c  2016 Academic Publications, Ltd. url: www.acadpubl.eu § Correspondence author