Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces

The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main th...

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Bibliographic Details
Main Authors: Chaiporn Thangthong, Anchalee Khemphet
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2018/4053478
Description
Summary:The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems.
ISSN:0161-1712
1687-0425