Generalized Ulam-Hyers stability and well-posedness for fixed point equation via \(\alpha\)-admissibility
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Publication:2262878
DOI10.1186/1029-242X-2014-418zbMath1347.54100OpenAlexW2146900861WikidataQ59306945 ScholiaQ59306945MaRDI QIDQ2262878
Supak Phiangsungnoen, Poom Kumam
Publication date: 16 March 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2014-418
fixed pointwell-posedness\(b\)-metric spacegeneralized Ulam-Hyers stability\(\alpha\)-admissible mappings
Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (6)
Unnamed Item ⋮ Existence, error estimation, rate of convergence, Ulam-Hyers stability, well-posedness and limit shadowing property related to a fixed point problem ⋮ Hybrid fixed point theorem with applications to forced damped oscillations and infinite systems of fractional order differential equations ⋮ Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations ⋮ Existence, well-posedness of coupled fixed points and application to nonlinear integral equations ⋮ Existence, uniqueness, Ulam–Hyers–Rassias stability, well-posedness and data dependence property related to a fixed point problem in gamma-complete metric spaces with application to integral equations
Cites Work
- Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
- Fixed point theorems for generalized \(w_{\alpha}\)-contraction multivalued mappings in \(\alpha\)-complete metric spaces
- Suzuki-type fixed point results in metric type spaces
- On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
- Fixed point result and applications on a \(b\)-metric space endowed with an arbitrary binary relation
- PPF dependent fixed point theorems for an \(\alpha_c\)-admissible non-self mapping in the Razumikhin class
- Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
- Fixed points and generalized Hyers-Ulam stability
- Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
- Quasi-contractions on symmetric and cone symmetric spaces
- Common fixed point results in metric-type spaces
- A fixed point approach to stability of functional equations
- A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
- Multivalued fractals in \(b\)-metric spaces
- Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces
- A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces
- Multivalued fixed point theorems in cone \(b\)-metric spaces
- On coupled fixed point results in asymmetric \(G\)-metric spaces
- Existence of tripled coincidence points in ordered \(b\)-metric spaces and an application to a system of integral equations
- Fixed point analysis for multi-valued operators with graph approach by the generalized Hausdorff distance
- Some new fixed point results in partial ordered metric spaces via admissible mappings
- Ulam-Hyers stability results for fixed point problems via \(\alpha\)-\(\psi\)-contractive mapping in \((b)\)-metric space
- Common fixed point of generalized weakly contractive maps in partial metric spaces
- Some results on fixed points of \({\alpha}\)-\(\psi\)-Ćirić generalized multifunctions
- Ulam-Hyers Stability for Operatorial Equations
- Ulam-Hyers stability for partial differential inclusions
- On the Stability of the Linear Functional Equation
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