Approximate best proximity pairs in metric space

DOI10.1155/2011/596971zbMath1216.41025OpenAlexW2131060257WikidataQ58654335 ScholiaQ58654335MaRDI QIDQ535973

S. A. M. Mohsenalhosseini, Mohammad Ali Dehghan, Hamid Mazaheri

Publication date: 16 May 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226169

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (4)

Unnamed Item ⋮ Some results on the best proximity pair ⋮ Fixed point theorems and error bounds in partial metric spaces ⋮ Approximate fixed point theorems of cyclical contraction mapping

Cites Work

• Unnamed Item
• Existence and convergence of best proximity points
• Erratum to: ``Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces [Nonlinear Anal. (2008), doi: 10.1016/j.na.2008.04.037]
• Corrigendum to ``Existence of best proximity pairs and equilibrium pairs [J. Math. Anal. Appl. 316, 433--446 (2006)]
• Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
• A result on best proximity pair of two sets
• Extensions of two fixed point theorems of F. E. Browder
• Proximal maps, prox maps and coincidence points
• Some extensions of fan's best approximation theorem
• Proximinal Retracts and Best Proximity Pair Theorems

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