Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
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Publication:2061478
DOI10.1186/s13660-018-1925-2zbMath1478.65057OpenAlexW2904014299WikidataQ60303382 ScholiaQ60303382MaRDI QIDQ2061478
Chanchal Garodia, Izhar Uddin, Juan. J. Nieto
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-018-1925-2
Other nonlinear integral equations (45G10) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15) Special maps on metric spaces (54E40)
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Cites Work
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- Browder and Göhde fixed point theorem for monotone nonexpansive mappings
- On common approximate fixed points of monotone nonexpansive semigroups in Banach spaces
- Mann iteration process for monotone nonexpansive mappings
- One-step iteration scheme for multivalued nonexpansive mappings in CAT(0) spaces
- Fixed point theorems and iterative approximations for monotone nonexpansive mappings in ordered Banach spaces
- A concept of convergence in geodesic spaces
- Strong and \(\Delta\) convergence theorems for multivalued mappings in CAT(0) spaces
- Proximal point algorithms for solving convex minimization problem and common fixed points problem of asymptotically quasi-nonexpansive mappings in CAT(0) spaces with convergence analysis
- An iteration scheme for a family of multivalued mappings in CAT(0) spaces with an application to image recovery
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Approximating fixed points for generalized nonexpansive mapping in CAT(0) spaces
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Fixed points of uniformly Lipschitzian mappings
- Remarks on Some Fixed Point Theorems
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- Fixed Points by a New Iteration Method
- Strong convergence of modified viscosity implicit approximation methods for asymptotically nonexpansive mappings in complete CAT(0) spaces
- Modified viscosity type iteration for total asymptotically nonexpansive mappings in CAT(0) spaces and its application to optimization problems
- Zum Prinzip der kontraktiven Abbildung
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- A Fixed Point Theorem for Mappings which do not Increase Distances
- Mean Value Methods in Iteration