Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space

DOI10.22130/SCMA.2018.72368.289zbMath1449.54059OpenAlexW2975267561MaRDI QIDQ5241663

Hasti Habibi, Madjid Eshaghi-Gordji

Publication date: 1 November 2019

Full work available at URL: https://scma.maragheh.ac.ir/article_36366_988f1f54affa1680ce562c8d50a002e5.pdf

zbMATH Keywords

fixed pointsolutionanalytic functionmetric spaceorthogonal set\(\varepsilon\)-connected

Mathematics Subject Classification ID

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

Related Items (10)

Orthogonal \(F\)-contractions on \(O\)-complete \(b\)-metric space ⋮ On orthogonal coupled fixed point results with an application ⋮ Solution of integral equations via coupled fixed point theorems in \(\mathfrak{F}\)-complete metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed Point Results in Orthogonal Modular Metric Spaces ⋮ Fixed point of orthogonal \(F\)-Suzuki contraction mapping on \(O\)-complete \(b\)-metric spaces with applications ⋮ Solving a nonlinear Fredholm integral equation via an orthogonal metric ⋮ Fixed point results for generalized multivalued orthogonal \(\alpha\)-\(F\)-contraction of integral type mappings in orthogonal metric spaces ⋮ On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces

Cites Work

• Orthogonal sets: the axiom of choice and proof of a fixed point theorem
• Fixed point of set-valued graph contractive mappings
• An Extension of Banach's Contraction Principle
• A GENERALIZATION OF NADLERS FIXED POINT THEOREM
• On orthogonal sets and Banach fixed point theorem
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