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almost $alpha$-$f$-contraction, fixed points and applications
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نویسنده
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kumar deepak ,tomar anita ,chandok sumit ,sharma ritu
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 2 - صفحه:375 -386
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چکیده
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In this manuscript, we initiate an almost $alpha$-$f$-contraction and an almost $alpha$-$f$- weak contraction in the setting of partial metric spaces and establish adequate conditions for the presence of fixed points. the obtained results generalize the classical and recent results of the literature, which are validated by suitable examples. as applications of these established results, we solve a nonlinear fractional differential equation and a boundary value problem.
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کلیدواژه
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partial metric space ,$alpha$-admissible، $0$-complete fixed point، $f$-contraction
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آدرس
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lovely professional university, department of mathematics, india, government degree college thatyur, department of mathematics, india, thapar institute of engineering & technology, school of mathematics, india, g. i. c. gheradhar (dogi) tehri garhwal (uttrakhand), department of mathematics, india
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پست الکترونیکی
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ritus4184@gmail.com
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Authors
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