Some fixed point results in tvs-cone metric spaces with application in tvs A-cone metric space

Abstract

In the year 2011, Cho et al. [2] has presented the new idea of c-distance in cone metric spaces. At that point after Dubey, A.K. et al. [4] demonstrated a few after effects of fixed point results using c-distance with contractive conditions in cone metric spaces. As of late, Tiwari, S.K. et al. [17] has demonstrated the expansion of fixed point hypothesis for contraction mappings applying c-distance. The motivation behind this paper is to build up a speculation of the outcomes demonstrated by Tiwari, S.K. et. al. [17] for contraction mappings applying c-distance. Moreover, we prove a theorem for such mapping applying c-distance in tvs A -cone metric space as an application that extends the results of M.Abbas,et.al. [14]. The outcomes here sum up and expand a portion of the notable outcomes present in the literature [1,5,6,7,8,9,10].