Fixed Point Theory inα-Complete Metric Spaces with Applications
Keyword(s):
The aim of this paper is to introduce new concepts ofα-η-complete metric space andα-η-continuous function and establish fixed point results for modifiedα-η-ψ-rational contraction mappings inα-η-complete metric spaces. As an application, we derive some Suzuki type fixed point theorems and new fixed point theorems forψ-graphic-rational contractions. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.
2018 ◽
Vol 7
(3.3)
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pp. 146
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2016 ◽
Vol 7
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pp. 251
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2018 ◽
Vol 6
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pp. 297
2005 ◽
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Vol 10
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pp. 2687-2710
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2019 ◽
Vol 8
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