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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.26 No.2

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Common Fixed Points for Weakened Compatible Mappings Satisfying the Generalized ϕ-weak Contraction Condition

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2019, v.26 no.2, pp.99-110
https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.99
Jain, Deepak
Kumar, Sanjay
Jung, Chahn Yong
Jain,, D. , Kumar,, S. , & Jung,, C. Y. (2019). Common Fixed Points for Weakened Compatible Mappings Satisfying the Generalized ϕ-weak Contraction Condition. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(2), 99-110, https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.99

Abstract

In this paper, we prove some common fixed point theorems for pairs of weakened compatible mappings (subcompatible and occasionally weakly compatible mappings) satisfying a generalized <TEX>${\phi}-weak$</TEX> contraction condition involving various combinations of the metric functions. In fact, our results improve the results of Jain et al.. Also we provide an example for validity of our results.

keywords
<tex> ${\phi}-weak$</tex> contraction, subcompatible mappings, occasionally weakly compatible mappings, property (E.A)

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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