Nonlinear conditions for the existence of best proximity points

DOI10.1186/1029-242X-2012-206zbMath1279.41018OpenAlexW2143119422WikidataQ59288250 ScholiaQ59288250MaRDI QIDQ386777

Hossein Lakzian, Wei-Shih Du

Publication date: 10 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-206

zbMATH Keywords

cyclic mapbest proximity point\(\mathcal{MJ}\)-cyclic contraction\(\mathcal{MJ}\)-function (\(\mathcal R\)-function)

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

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Cites Work

• New cone fixed point theorems for nonlinear multivalued maps with their applications
• On coincidence point and fixed point theorems for nonlinear multivalued maps
• On the equivalence of the Mizoguchi-Takahashi fixed point theorem to Nadler's theorem
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Some new results and generalizations in metric fixed point theory
• Convergence and existence results for best proximity points

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