Best proximity point theorems for probabilistic proximal cyclic contraction with applications in nonlinear programming

DOI10.1186/s13663-015-0330-5zbMath1345.54068OpenAlexW1608683381WikidataQ59431248 ScholiaQ59431248MaRDI QIDQ285874

Reza Saadati

Publication date: 19 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0330-5

zbMATH Keywords

fixed pointbest proximity pointproximal contractionoptimal approximate solutionproximal cyclic contraction

Mathematics Subject Classification ID

Nonlinear programming (90C30) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Probabilistic metric spaces (54E70)

Cites Work

• Unnamed Item
• Best proximity point theorems generalizing the contraction principle
• Application of fixed point theorems to best simultaneous approximation in ordered semi-convex structure
• Fixed point theorems for compatible and subsequentially continuous mappings in Menger spaces
• Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces

This page was built for publication: Best proximity point theorems for probabilistic proximal cyclic contraction with applications in nonlinear programming