On fixed point theorems for monotone increasing vector valued mappings via scalarizing

DOI10.1007/s11117-014-0299-zzbMath1319.47047OpenAlexW2046242698MaRDI QIDQ2355140

A. P. Farajzadeh, P. Zangenehmehr, Seiyed Mansour Vaezpour

Publication date: 21 July 2015

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-014-0299-z

zbMATH Keywords

fixed pointsolid coneminihedral conepartially ordered normed vector spacenonlinear scalarization mappingvector valued mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered normed spaces (46B40)

Related Items (8)

New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application ⋮ A kind of equivalence of three nonlinear scalarization functions in vector optimization ⋮ On a new generalized symmetric vector equilibrium problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common fixed points of \(\alpha_\ast\)-\(\psi\)-contractive without order closed multi-valued mappings

Cites Work

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• An intermediate value theorem for monotone operators in ordered Banach spaces
• Nonconvex separation theorems and some applications in vector optimization
• A note on cone metric fixed point theory and its equivalence
• On the existence of unstable bumps in neural networks
• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Order Norm Completions of Cone Metric Spaces

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