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scientific article; zbMATH DE number 7248502

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zbMath1474.54248MaRDI QIDQ5121095

Poom Kumam, Ramakant Bhardwaj, Somayya Komal, Thidaporn Seangwattana

Publication date: 17 September 2020

Full work available at URL: http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/3432

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

proximally commuting mappingsgeneralized \(\mathcal{S}\)-contractionrandom \(p\)-common best proximity pointrandom generalized \(\mathcal{S}\)-contraction


Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)




Cites Work

  • Best proximity points: Global optimal approximate solutions
  • Best proximity point theorems generalizing the contraction principle
  • Common best proximity points: global minimization of multi-objective functions
  • A new class of \(\mathcal{S}\)-contractions in complete metric spaces and \(\mathcal{G_{P}}\)-contractions in ordered metric spaces
  • Approximation of random fixed points in normed spaces
  • Common best proximity points theorem for four mappings in metric-type spaces
  • Common best proximity points: global optimization of multi-objective functions
  • Extensions of Banach's Contraction Principle
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