Fixed and best proximity points of cyclic jointly accretive and contractive self-mappings
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Publication:443105
DOI10.1155/2012/817193zbMath1417.54023OpenAlexW2065240311WikidataQ57675110 ScholiaQ57675110MaRDI QIDQ443105
Publication date: 6 August 2012
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/817193
best proximity pointscyclic self-mappings\(p(\geq 2)\)-cyclic contractive mappingsKannan self-mappings
Nonlinear accretive operators, dissipative operators, etc. (47H06) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)
Related Items
Best proximity point theorems via proximal non-self mappings ⋮ On contractive and convergence properties of a class of truncated operators represented through Schauder bases with applications ⋮ On some relations between accretive, positive, and pseudocontractive operators and passivity results in Hilbert spaces and nonlinear dynamic systems ⋮ On a class of self-adjoint compact operators in Hilbert spaces and their relations with their finite-range truncations
Cites Work
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- Another weak convergence theorems for accretive mappings in Banach spaces
- On a general contractive condition for cyclic self-mappings
- Strong convergence of modified iteration processes for relatively asymptotically nonexpansive mappings
- Iterative approximation of common fixed points of two nonself asymptotically nonexpansive mappings
- Convergence of a generalized iteration process for two finite families of Lipschitzian pseudocontractive mappings
- Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme
- On the extensions of Krasnoselskii-type theorems to \(p\)-cyclic self-mappings in Banach spaces
- A new type of fixed point theorem in metric spaces
- Existence and convergence of best proximity points
- Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space
- Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings
- Viscosity approximation methods for resolvents of accretive operators in Banach spaces
- About robust stability of dynamic systems with time delays through fixed point theory
- A generalization of Kannan's fixed point theorem
- Global attractivity results for mixed-monotone mappings in partially ordered complete metric spaces
- Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
- Convexity of the set of fixed points generated by some control systems
- Fixed point theorems for a weaker Meir-Keeler type \(\psi \)-set contraction in metric spaces
- Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and \(T\)-stability
- Total stability properties based on fixed point theory for a class of hybrid dynamic systems
- A theorem on contraction mappings
- Robustly stable multiestimation scheme for adaptive control and identification with model reduction issues
- COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME
- Fixed point theorems in ordered abstract spaces
- Locally Uniformly Convex Banach Spaces