Common fixed point theorems in Menger PMT--spaces with applications
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Authors
Yeol Je Cho
- Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea.
- Center for General Education, China Medical University, Taichung, 40402, Taiwan.
Young-Oh Yang
- Department of Mathematics, Jeju National University, Jeju 690-756, Korea.
Abstract
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.
Share and Cite
ISRP Style
Yeol Je Cho, Young-Oh Yang, Common fixed point theorems in Menger PMT--spaces with applications, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 10, 5570--5578
AMA Style
Cho Yeol Je, Yang Young-Oh, Common fixed point theorems in Menger PMT--spaces with applications. J. Nonlinear Sci. Appl. (2016); 9(10):5570--5578
Chicago/Turabian Style
Cho, Yeol Je, Yang, Young-Oh. "Common fixed point theorems in Menger PMT--spaces with applications." Journal of Nonlinear Sciences and Applications, 9, no. 10 (2016): 5570--5578
Keywords
- Nonlinear probabilistic contractive mapping
- complete probabilistic metric type space
- Menger space
- fixed point theorem
- integral equation.
MSC
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