Best proximity point theorems by K, C and \mathcal{MT} types in b-metric spaces with an application

In this paper, we introduce the concept of weak \mathcal{MT}-K rational cyclic and weak \mathcal{MT}-C rational cyclic conditions and a combination of both conditions in what we call weak \mathcal{MT}-KC rational cyclic condition. We investigate some best proximity points theorems for a pair of mappings that satisfy these conditions that have been established in b-metric spaces. Our results include an application to the nonlinear integral equation as well.

Best proximity point theorems by K, C and \mathcal{MT} types in b-metric spaces with an application Keywords:

b-metric space , mathcal{MT}-function , Rational cyclic condition , Cyclic map , best proximity point

Best proximity point theorems by K, C and \mathcal{MT} types in b-metric spaces with an application authors

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Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

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Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

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Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

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https://civilica.com/doc/1561181

Document National Code:

JR_IJNAA-12-2_101

Index date: 2 December 2022

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Ranking of Islamic Azad University of Science and Research Branch, Tehran

Type of center: دانشگاه آزاد

Paper count: 54,462

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