Inequalities and solution of an operator equation
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Publication:926775
DOI10.1016/j.aml.2007.07.013zbMath1153.47045OpenAlexW2046763483MaRDI QIDQ926775
Publication date: 21 May 2008
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.013
operator equationreal Banach spacesemi-closed 1-set-contractive operatorhomotopy invariance propertyopen convex subset
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (11)
Suzuki's type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone ⋮ Measures of weak noncompactness and fixed point theory for 1-set weakly contractive operators on unbounded domains ⋮ Some new coupled coincidence point and coupled fixed point results in partially ordered metric-like spaces and an application ⋮ 1-set-contractive perturbations of accretive operators in Menger PN-spaces ⋮ Applications of the fixed point index in Menger PN-spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some new theorems for cyclic contractions in \(G_b\)-metric spaces and some applications ⋮ Topological degree for 1-set-contractive fields in M-PN spaces and its applications ⋮ Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations ⋮ The fixed-point index of nonlinear operators in Menger PN-spaces
Cites Work
- Positive solutions for nonlinear eigenvalue problems
- Some theorems in the X-M-PN space
- Some theorems of random operator equations
- Some new fixed point theorems in probabilistic metric spaces
- On the number of solutions of nonlinear equations in ordered Banach spaces
- The Fixed-Point Index and the Fixed-Point Theorems of 1-Set-Contraction Mappings
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