Fixed point theorems for the sum of three classes of mixed monotone operators and applications
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Publication:284893
DOI10.1186/s13663-016-0533-4zbMathNoneOpenAlexW2340699763WikidataQ59464753 ScholiaQ59464753MaRDI QIDQ284893
Xinqiu Zhang, Li Shan Liu, Yong-Hong Wu
Publication date: 18 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-016-0533-4
fixed point theoremfractional differential equation\(\varphi(t)\)-concave-convex operatorconcave-convex operatorhypo-homogeneous operatormixed monotone operator
Fixed-point theorems (47H10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Fractional ordinary differential equations (34A08)
Related Items (15)
Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation ⋮ Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions ⋮ Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions ⋮ New fixed point theorems for sum operators in set \(P_{h,e}\) and their applications to nonlinear fractional differential problems ⋮ Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications ⋮ Global structure of positive solutions for some second-order multipoint boundary value problems ⋮ Fixed point results in set \(P_{h,e}\) with applications to fractional differential equations ⋮ New results of mixed monotone operator equations ⋮ Existence and uniqueness of iterative positive solutions for singular Hammerstein integral equations ⋮ Existence and uniqueness of positive solutions for boundary value problems of fractional differential equations ⋮ \(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems ⋮ Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter ⋮ Some existence, uniqueness results on positive solutions for a fractional differential equation with infinite-point boundary conditions ⋮ Fixed point theorems for sum operator with parameter ⋮ On some fixed point theorems in abstract duality pairs
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