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best proximity point results for almost contraction and application to nonlinear differential equation
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نویسنده
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hussain azhar ,abbas mujahid ,adeel muhammad ,kanwal tanzeela
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منبع
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sahand communications in mathematical analysis - 2020 - دوره : 17 - شماره : 2 - صفحه:119 -138
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چکیده
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Berinde [v. berinde, approximating fixed points of weak contractions using the picard iteration, nonlinear anal. forum 9 (2004), 43-53] introduced almost contraction mappings and proved banach contraction principle for such mappings. the aim of this paper is to introduce the notion of multivalued almost θ-contraction mappings andto prove some best proximity point results for this new class of mappings. as applications, best proximity point and fixed point results for weak single valued θ-contraction mappings are obtained. moreover, we give an example to support the results presented herein. an application to a nonlinear differential equation is also provided.
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کلیدواژه
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almost contraction ,θ-contraction ,best proximity points ,differential equation
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آدرس
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university of sargodha, department of mathematics, pakistan, government college university, department of mathematics, pakistan. university of pretoria hatfield, department of mathematics and applied mathematics, south africa, university of sargodha, department of mathematics, pakistan, university of sargodha, department of mathematics, pakistan
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پست الکترونیکی
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tanzeelakanwal16@gmail.com
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Authors
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