Fixed point problems concerning contractive type operators on KST-Spaces

In this paper, using the concept of -distance we prove some results on the existence of fixed points for contractive type
operators, namely; –-contractive operators. Applications are also presented. Our results improve and
generalize a number of known results of fixed point theory including the recent results of Guran and Bota [Guran, L. and Bota, M.-F. Ulam-Hyers Stability Problems for Fixed Point Theorems concerning –-Type Contractive
Operators on -Spaces, Submitted in press] and Ansari [Ansari, A. H. and Shukla, S., Some fixed point theorems
for ordered –-contraction and subcontractions in – -orbitally complete partial metric spaces, J. Adv. Math. Stud., 9 (2016), No. 1, 37–53].