Fixed point theorems for a class of mixed monotone operators with convexity

DOI10.1186/1687-1812-2013-119zbMath1428.47021OpenAlexW2116591889WikidataQ59301485 ScholiaQ59301485MaRDI QIDQ2252669

Cheng-Bo Zhai

Publication date: 22 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-119

zbMATH Keywords

fixed pointnormal coneconvexitymixed monotone operator\(\alpha\)-convex operator

Mathematics Subject Classification ID

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

Related Items (7)

Existence and uniqueness of fixed point for mixed monotone ternary operators with application ⋮ Coupled fixed points of monotone mappings in a metric space with a graph ⋮ Unique solution for multi-point fractional integro-differential equations ⋮ A class of \(\varphi\)-concave operators and applications ⋮ Tripled fixed point theorems and applications to a fractional differential equation boundary value problem ⋮ Existence and uniqueness results for two-term nonlinear fractional differential equations via a fixed point technique ⋮ On the lower and upper solutions method for the problem of elastic beam with hinged ends

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