Fixed points of \(\tau -\varphi\)-convex operators and applications

DOI10.1016/j.aml.2010.01.011zbMath1186.47047OpenAlexW1993248197MaRDI QIDQ968545

Zengqin Zhao

Publication date: 5 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.01.011

zbMATH Keywords

conemultipoint boundary value problemsuperlinearpositive fixed point\(\tau -\varphi\)-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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (11)

The convergence analysis and error estimation for unique solution of a \(p\)-Laplacian fractional differential equation with singular decreasing nonlinearity ⋮ Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation ⋮ Positive fixed points for semipositone operators in ordered Banach spaces and applications ⋮ Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications ⋮ Coincidence point theorems in ordered Banach spaces and applications ⋮ The concept of cone \(b\)-Banach space and fixed point theorems ⋮ Unique solution for multi-point fractional integro-differential equations ⋮ Fixed point theorems of superlinear operators with applications ⋮ A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ Positive solutions to one-dimensional quasilinear impulsive indefinite boundary value problems ⋮ \(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems

Cites Work

• On \(\alpha\)-convex operators
• Fixed point theorems for \(\tau -\varphi \)-concave operators and applications
• Fixed points of generalized e-concave (generalized e-convex) operators and their applications
• Exact solutions of a class of second-order nonlocal boundary value problems and applications
• APPLICATIONS OF HILBERT'S PROJECTIVE METRIC TO CERTAIN CLASSES OF NON-HOMOGENEOUS OPERATORS
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