A Cyclic Probabilistic C-Contraction Results using Hadzic and Lukasiewicz T-Norms in Menger Spaces |
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| Institution: | 1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, India;2. Department of Mathematics, Bajkul Milani Mahavidyalaya, Kismat Bajkul, Dist-Purba Medinipur, Bajkul, West Bengal-721655, India |
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| Abstract: | In this paper, we introduce generalized cyclic C-contractions through p num-ber 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. |
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| Keywords: | Menger space Cauchy sequence fixed point φ-function ψ-function |
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