Qualitative properties of the solution of a system of operator inclusions in \(b\)-metric spaces endowed with a graph

DOI10.1007/s41980-018-0089-7zbMath1489.54099OpenAlexW2795034736WikidataQ129651775 ScholiaQ129651775MaRDI QIDQ1734135

Cristian Chifu, Erdal Karapınar, Gabriela Petrusel

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0089-7

zbMATH Keywords

well-posednessdata dependence\(b\)-metric spaceUlam-Hyers stabilityOstrovski stability property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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The viscosity approximation method for multivalued \(G\)-nonexpansive mappings in Hadamard spaces endowed with graphs ⋮ Unnamed Item ⋮ Fixed point theorems for the Mann's iteration scheme in convex graphical rectangular b-metric spaces

Cites Work

• New results on coupled fixed point theory in metric spaces endowed with a directed graph
• Generalized contractions in metric spaces endowed with a graph
• A note on ``Some results on multi-valued weakly Jungck mappings in \(b\)-metric space
• Fixed points for multivalued contractions in \(b\)-metric spaces with applications to fractals
• IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem
• Ulam-Hyers stability results for fixed point problems via \(\alpha\)-\(\psi\)-contractive mapping in \((b)\)-metric space
• Discussion on some coupled fixed point theorems
• Fixed point theorems for generalized (α∗−ψ )-Ćirić-type contractive multivalued operators in b-metric spaces
• Ciric type nonunique fixed point theorems on b-metric spaces
• The contraction principle for mappings on a metric space with a graph
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