Common fixed points of generalized rational contractions on a closed ball in partial metric spaces

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Authors
Muhammad Nazam
 Department of Mathematics, International Islamic University, Islamabad, Pakistan.
Muhammad Arshad
 Department of Mathematics and Statistics, International Islamic University, H10, Islamabad, Pakistan.
Choonkil Park
 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea.
Sungsik Yun
 Department of Financial Mathematics, Hanshin University, Gyeonggido 18101, Republic of Korea.
Abstract
The notion of generalized contractions of rational type on a closed ball is introduced and used to establish some common fixed point theorems for two, three and four mappings in complete ordered partial metric spaces. These results improve several wellknown, primary and conventional results. We give an example to illustrate the main idea of our results that there are mappings which have only fixed points inside or on the closed ball instead of whole space.
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ISRP Style
Muhammad Nazam, Muhammad Arshad, Choonkil Park, Sungsik Yun, Common fixed points of generalized rational contractions on a closed ball in partial metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 52615270
AMA Style
Nazam Muhammad, Arshad Muhammad, Park Choonkil, Yun Sungsik, Common fixed points of generalized rational contractions on a closed ball in partial metric spaces. J. Nonlinear Sci. Appl. (2017); 10(10):52615270
Chicago/Turabian Style
Nazam, Muhammad, Arshad, Muhammad, Park, Choonkil, Yun, Sungsik. "Common fixed points of generalized rational contractions on a closed ball in partial metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 52615270
Keywords
 Common fixed point
 closed ball
 generalized contraction
 partial metric space
MSC
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