Common coupled fixed point results for operators without mixed monotone type properties and application to nonlinear integral equations

DOI10.1186/s13663-017-0595-yzbMath1447.47046OpenAlexW2585896304WikidataQ59481002 ScholiaQ59481002MaRDI QIDQ2012284

Nabil Machrafi

Publication date: 28 July 2017

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

Full work available at URL: https://doi.org/10.1186/s13663-017-0595-y

zbMATH Keywords

fixed pointordered Banach spacecoupled fixed pointmixed monotone propertyinflationary pair of mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Systems of nonlinear integral equations (45G15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Some characterizations of KB-operators on Banach lattices and ordered Banach spaces

Cites Work

• Coupled fixed point results for mappings without mixed monotone property
• The superposition operator in function spaces - A survey
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Iterative method for coupled quasi-solutions of mixed monotone operator equations
• Heterogeneous and combined concave operators
• On the continuity of the generalized Nemytskiĭ operator in spaces of differentiable functions
• Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces
• A note on Euclidean order types
• Coupled fixed points of nonlinear operators with applications
• Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type without monotonicity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item