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• W2090443488 abstract "The aim of this paper is to define weak<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>ψ</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>φ</mml:mi></mml:mrow></mml:math>-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-metric spaces using the concept of rectangular<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-admissibility. As an application, we derive new coupled and tripled coincidence point results for weak<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:mrow><mml:mi>ψ</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M8><mml:mrow><mml:mi>φ</mml:mi></mml:mrow></mml:math>-contractive mappings in partially ordered<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M9><mml:mrow><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results." @default.
• W2090443488 created "2016-06-24" @default.
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• W2090443488 date "2014-01-01" @default.
• W2090443488 modified "2023-09-24" @default.
• W2090443488 title "Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations" @default.
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• W2090443488 doi "https://doi.org/10.1155/2014/568718" @default.
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