Geodesic
Cyclic Type Fixed Point Results in 2-Menger Spaces
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 5-20

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In this paper we introduce generalized cyclic contractions through $r$ number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type $t$-norm. In another theorem we use a control function with minimum $t$-norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.
Classification : 54E40, 54H25
Keywords: 2-Menger space; Cauchy sequence; fixed point; control function; $t$-norm 
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CHOUDHURY, Binayak S.; BHANDARI, Samir Kumar; SAHA, Parbati. Cyclic Type Fixed Point Results in 2-Menger Spaces. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 5-20. http://geodesic.mathdoc.fr/item/AUPO_2015__54_2_a0/