Results 11 to 20 of about 1,095,113 (306)
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.
N. Hussain, M. A. Kutbi, P. Salimi
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On Best Proximity Point Theorems without Ordering
Abstract and Applied Analysis, 2014 Recently, Basha (2013) addressed a problem that amalgamates approximation and optimization in the setting of a partially ordered set that is endowed with a metric.
A. P. Farajzadeh +2 more
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On the best proximity point for the proximal contractive and nonexpansive mappings on the starshaped sets. [PDF]
Springerplus, 2016 Guo M, Li X, Su Y.
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Existence of fixed point and best proximity point of p-cyclic orbital phi-contraction map
Nonlinear Analysis, 2022 In this manuscript, p-cyclic orbital ϕ-contraction map over closed, nonempty, convex subsets of a uniformly convex Banach space X possesses a unique best proximity point if the auxiliary function ϕ is strictly increasing.
Prabavathy Magadevan +2 more
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Common Best Proximity Point Theorems for Generalized Dominating with Graphs and Applications in Differential Equations [PDF]
MathematicsIn this paper, we initiate a concept of graph-proximal functions. Furthermore, we give a notion of being generalized Geraghty dominating for a pair of mappings.
Watchareepan Atiponrat +4 more
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Some Iterations of Best Proximity Point
Wasit Journal for Pure SciencesThe aim of this paper is to investigate the convergence of two types of iterative methods , that is Manna and Ishikawa to the optimal proximity points for cyclic Kannan and Chatterjee mappings defined on Banach spaces .
Jowan Hassan
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The Journal of Nonlinear Sciences and Applications, 2017 Summary: Following the study for the best proximity points of the Suzuki type \(\alpha^+\)-\(\theta\)-proximal single-valued mappings given by \textit{N. Hussain} et al. [Fixed Point Theory Appl. 2016, Paper No. 14, 20 p. (2016; Zbl 1347.54085)], we deal with the Suzuki type \(\alpha^+\)-\(\theta\)-proximal multivalued mappings satisfying generalized ...
Haiming Liu +3 more
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New generalization of the best proximity point problem [PDF]
Journal of Mahani Mathematical Research, 2023 Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$, for mappings $T,f:C\cup D\to C\cup D$.
M.R. Haddadi
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Best Proximity Point for G-Generalized ζ-β-T Contraction
International Journal of Analysis and Applications, 2023 In this paper, we find the best proximity point in G-metric spaces for G-generalized ζ-β-T contraction mappings and verify the existence and uniqueness of the best proximity point in the complete G metric space using the idea of an approximatively ...
Amit Duhan +3 more
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On Some Coincidence Best Proximity Point Results
Journal of Mathematics, 2021 In this paper, we discuss some (coincidence) best proximity point results for generalized proximal contractions and λ−μ-proximal Geraghty contractions in controlled metric type spaces. To clarify our study, various examples are given and some conclusions
Naeem Saleem +3 more
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