TY - JOUR T1 - A Cyclic Probabilistic $C$-Contraction Results Using Hadzic and Lukasiewicz $T$-Norms in Menger Spaces JO - Analysis in Theory and Applications VL - 3 SP - 283 EP - 298 PY - 2017 DA - 2017/07 SN - 31 DO - http://doi.org/10.4208/ata.2015.v31.n3.6 UR - https://global-sci.org/intro/article_detail/ata/4640.html KW - Menger space, Cauchy sequence, fixed point, $\phi$-function, $\psi$-function, AB -

In this paper we introduce generalized cyclic $C$-contractions through $p$ number of subsets of a probabilistic metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type $t$-norm. In our next theorem we use Lukasiewicz $t$-norm. Our results generalize the results of Choudhury and Bhandari [11]. A control function [3] has been utilized in our second theorem. The results are illustrated with some examples.