Geodesic
Common fixed point theorems in Menger PMT--spaces with applications
Cho, Yeol Je1 ; Yang, Young-Oh2
1 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea;Center for General Education, China Medical University, Taichung, 40402, Taiwan
2 Department of Mathematics, Jeju National University, Jeju 690-756, Korea
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5570-5578.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we introduce the concept of Menger PMT-spaces. Further, we prove common fixed point theorems in a complete Menger probabilistic metric type space and, by using the main result, we give applications on the existence and uniqueness of a solution for a class of integral equations.
DOI : 10.22436/jnsa.009.10.07
Classification : 54H25, 47H10, 54E70
Keywords: Nonlinear probabilistic contractive mapping, complete probabilistic metric type space, Menger space, fixed point theorem, integral equation.

Cho, Yeol Je 1 ; Yang, Young-Oh 2

1 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea;Center for General Education, China Medical University, Taichung, 40402, Taiwan
2 Department of Mathematics, Jeju National University, Jeju 690-756, Korea 
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Cho, Yeol Je; Yang, Young-Oh. Common fixed point theorems in Menger PMT--spaces with applications. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5570-5578. doi : 10.22436/jnsa.009.10.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.10.07/

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