Coincidence and common fixed point theorems on TVS-valued cone metric spaces

Abstract

In this paper, we obtained some coincidence and common fixed point theorems for a pair of weakly compatible maps on TVS-valued cone metric spaces, satisfying contractive mapping: d(fx; fy) ≤ad(fx;gx)+bd(fy;gy)+gd(gx;gy) and d(fx; fy) ≤ad(gx;gy)+b[d(fx;gx)+d(fy;gy)]+g[d(fx;gy)+d(fy;gx)]. Some corollaries on fixed point theorems on TVS-valued cone metric spaces are also provided.