Common Fixed Point Results in Convex 2-Metric Space for Altering Distance Function

Abstract

In the present paper some common fixed point results are obtained for altering distance function which satisfies the (E.A.) property with respect to some , where M is q-starshaped subset of a convex 2-metric space. After that some invariant approximation results as an application are obtained for altering distance function. Our results are the special form in altering distance function of [50] and [51]

MSC: 47H10; 54H25

Keywords: EA-property; common fixed point; best approximation; compatible maps; sub compatible maps, altering distance