The generalized Banach contraction conjecture in \(b\)-metric spaces
From MaRDI portal
Publication:1742510
DOI10.1007/s11784-018-0489-6zbMath1398.54081OpenAlexW2782829709WikidataQ123011135 ScholiaQ123011135MaRDI QIDQ1742510
Nguyen Van Dung, Vo Thi Le Hang
Publication date: 11 April 2018
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-018-0489-6
Topological spaces with richer structures (54E99) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (13)
On multivalued maps for \(\varphi \)-contractions involving orbits with application ⋮ Common fixed point on the \(b_v(s)\)-metric space of function-valued mappings ⋮ The Meir-Keeler type contractions in extended modular \(b\)-metric spaces with an application ⋮ Modified Tseng's splitting algorithms for the sum of two monotone operators in Banach spaces ⋮ Square-mean asymptotically almost periodic solutions of second order nonautonomous stochastic evolution equations ⋮ Approximation of involution in multi-Banach algebras: fixed point technique ⋮ Answers to questions on the generalized Banach contraction conjecture in \(b\)-metric spaces ⋮ Existence and stability results for \(\psi\)-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions ⋮ Existence, uniqueness and matrix-valued fuzzy Mittag-Leffler-hypergeometric-Wright stability for \(\mathfrak{P}\)-Hilfer fractional differential equations in matrix-valued fuzzy Banach space ⋮ Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces ⋮ Stability of Euler-Lagrange-type cubic functional equations in quasi-Banach spaces ⋮ On positive answer to El-Fassi's question related to hyperstability of the general radical quintic functional equation in quasi-\(\beta\)-Banach spaces ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On relaxations of contraction constants and Caristi's theorem in \(b\)-metric spaces
- Common fixed point results in metric-type spaces
- Remarks on metric-type spaces and applications
- Remarks on cone metric spaces and fixed point theorems of contractive mappings
- KKM mappings in metric type spaces
- A connection between fixed-point theorems and tiling problems
- A generalization of the Banach contraction principle
- Various generalizations of metric spaces and fixed point theorems
- An application of Ramsey’s Theorem to the Banach Contraction Principle
- Topics in Fixed Point Theory
- Fixed Point Theory in Distance Spaces
- Two Results on Jachymski–Schröder–Stein Contractions
- A proof of the Generalized Banach Contraction Conjecture
- A systematic generalization procedure for fixed-point theorems
This page was built for publication: The generalized Banach contraction conjecture in \(b\)-metric spaces