Results 41 to 50 of about 5,989,700 (306)
Demonstratio Mathematica, 2020 In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of ...
Gabeleh Moosa, Künzi Hans-Peter A.
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On best proximity points of interpolative proximal contractions
Quaestiones Mathematicae, 2020 In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ćirić and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As special cases we obtain some fixed point results for interpolative contractions. To support the theory, some examples are provided.
Ishak Altun, Ayşenur Taşdemir
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SOME COMMENTS ON BEST PROXIMITY POINTS FOR ORDERED PROXIMAL CONTRACTIONS
Journal of Applied Analysis & Computation, 2022 Summary: In this article, we focus on the existence of an optimal approximate solution, designated as a best proximity point for non-self mappings which are ordered proximal contractions in the setting of partially ordered metric spaces and prove that these results are particular cases of existing fixed point theorems in the literature.
Gabeleh, Moosa +2 more
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Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions [PDF]
, 2022 In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions of Geraghty type. Additionally, in the year 2021, Beg et al.
Som, Sumit +5 more
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Best Proximity Point Results for Modified --Proximal Rational Contractions [PDF]
Abstract and Applied Analysis, 2013 We first introduce certain new concepts of --proximal admissible and ---rational proximal contractions of the first and second kinds. Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces. As an application, we deduce best proximity and fixed point results in partially ordered metric spaces ...
N. Hussain, M. A. Kutbi, P. Salimi
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Journal of Approximation Theory, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalizations of Mana's iterative algorithm for best proximity points [PDF]
Journal of Mahani Mathematical ResearchThe main purpose of this paper is to consider the convergence of iterative algorithms for finding best proximity points for cyclic contractive mappings that is a new extension of the Mann iteration by dropping some additional assumptions.To this end, the
Mohammad Reza Haddadi, Marjan Aliyari
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Best proximity points for (φ-ψ)-weak contractions and some applications
Filomat, 2023 The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces.
K. Fallahi, G. Rad, A. Fulga
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Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation [PDF]
Sahand Communications in Mathematical Analysis, 2020 Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this
Azhar Hussain +3 more
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European Journal of Pure and Applied MathematicsThis paper investigates optimal solutions for best proximity points through the framework of generalized interpolative proximal contractions. We introduce a new method that uses interpolation techniques to handle a wider class of mappings by expanding ...
Khalil Javed +3 more
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