Fixed Point Theorems in 2-Normed Spaces by Sub-additive Altering Distance Function

Abstract

The study of fixed point theorem by applying the concept of 2-normed space has been initiated in [1] M. Kir, K. Hukmi, Some New Fixed Point Theorems in 2-Normed Spaces,Int. Journal of Math. Analysis, vol. 7, pp. 2885 – 2890, 2013. Using the idea of altering distance function with the property of subadditivity and the 2-normed spaces, we have defined a fixed point and established some results assuring the existence and uniqueness of fixed point with reference to different conditions.