Best proximity point theorems for generalized α-proximal contractions in Banach spaces

DOI10.22436/JNSA.010.09.21zbMath1412.47142OpenAlexW2754681946MaRDI QIDQ4632704

Poom Kumam, Phatiphat Thounthong, Somayya Komal, Kanokwan Sitthithakerngkiet

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.09.21

zbMATH Keywords

best proximity pointapproximative compactnessgeneralized \(\alpha\)-proximal contraction of the first and second kinds

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Unnamed Item
• Unnamed Item
• Best proximity point theorems via fixed point theorems for multivalued mappings
• Best proximity point theorems for generalized proximal contractions
• Some results on best proximity points
• Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
• Remarks on the paper: ``Best proximity point theorems: an exploration of a common solution to approximation and optimization problems
• Best proximity points: Optimal solutions
• A short note on the equivalence between `best proximity' points and `fixed point' results
• Multi-valued contraction mappings
• Extensions of Banach's Contraction Principle
• Best proximity points for proximal contractions

This page was built for publication: Best proximity point theorems for generalized α-proximal contractions in Banach spaces