On \(\alpha\)-convex operators

DOI10.1016/J.JMAA.2005.04.064zbMath1094.47047OpenAlexW2009051505MaRDI QIDQ819732

Chun-Mei Guo, Cheng-Bo Zhai

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.064

zbMATH Keywords

normal conepositive fixed point\(\alpha\)-convex operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (16)

Existence and uniqueness of fixed point for mixed monotone ternary operators with application ⋮ Multiple fixed points of a sum operator and applications ⋮ Positive solutions of operator equations on ordered Banach spaces and applications ⋮ Positive fixed points for semipositone operators in ordered Banach spaces and applications ⋮ Uniqueness of positive solutions for several classes of sum operator equations and applications ⋮ Fixed point theorems of superlinear operators with applications ⋮ A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations ⋮ First results in suprametric spaces with applications ⋮ \(\alpha\)-\((h,e)\)-convex operators and applications for Riemann-Liouville fractional differential equations ⋮ A surjection theorem and a fixed point theorem for a class of positive operators ⋮ Fixed point theorems for a class of mixed monotone operators with convexity ⋮ Fixed points of \(\tau -\varphi\)-convex operators and applications ⋮ Unnamed Item ⋮ Fixed point theorems for \(\tau -\varphi \)-concave operators and applications ⋮ Positive solutions for nonlinear operator equations and several classes of applications ⋮ Existence of fixed points for some convex operators and applications to multi-point boundary value problems

Cites Work

• Hilbert's metric and positive contraction mappings in a Banach space
• On a class of Volterra and Fredholm non-linear integral equations
• APPLICATIONS OF HILBERT'S PROJECTIVE METRIC TO CERTAIN CLASSES OF NON-HOMOGENEOUS OPERATORS
• Unnamed Item
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