Contraction mapping principle in partially ordered quasi metric space concerning to w-distances
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2001
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Authors
Rahma Zuhra
- School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM, 43600 Bangi, Malaysia.
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Syiah Kuala University, 23111 Banda Aceh, Indonesia.
Mohd Salmi Md Noorani
- School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM, 43600 Bangi, Malaysia.
Fawzia Shaddad
- Department of Mathematics, Sana’a University, Yemen.
Abstract
The fixed point theorems in various contraction mappings have been provided by many researchers. Some of them used
certain functions in mapping to guarantee the existence of fixed point. The purpose of this paper is to present some fixed
point result on contraction mapping in partially ordered quasi-metric space that applying a w-distance. The generalized altering
distance function on the mapping plays a role in theorems. The results extend some well-known results in the references. We
also improve these new results to the common fixed point.
Share and Cite
ISRP Style
Rahma Zuhra, Mohd Salmi Md Noorani, Fawzia Shaddad, Contraction mapping principle in partially ordered quasi metric space concerning to w-distances, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 699--712
AMA Style
Zuhra Rahma, Noorani Mohd Salmi Md, Shaddad Fawzia, Contraction mapping principle in partially ordered quasi metric space concerning to w-distances. J. Nonlinear Sci. Appl. (2017); 10(2):699--712
Chicago/Turabian Style
Zuhra, Rahma, Noorani, Mohd Salmi Md, Shaddad, Fawzia. "Contraction mapping principle in partially ordered quasi metric space concerning to w-distances." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 699--712
Keywords
- Fixed point
- w-distance
- a generalized altering distance function
- common fixed point.
MSC
References
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