SOME FIXED POINT RESULTS IN TVS-CONE METRIC SPACE

Subject Functional analysis
Title SOME FIXED POINT RESULTS IN TVS-CONE METRIC SPACE
Author(s) ANIL KUMAR DUBEY
Keywords TVS-Cone Metric Spaces, c-distance, w-distance.
Abstract The purpose of this paper is to prove some fixed point theorems in a tvs-cone metric space using c-distances. The presented theorems extend, generalize and improve the corresponding results of Fadail et al[New fi xed point results of single valued mapping for c-distance in cone metric spaces, Abst. and Appl. Anal., Vol 2012, Article ID 639713, 12 pages 2012, doi: 10.1155/2012/639713.], Dordevic et al. [Fixed point results under c-distance in TVS-cone metric spaces, FPTA, Vol. 2011, Article 29, 2011.] and the results cited therein. In the last section we give an example in support of our theorems.