On best proximity point theorems and fixed point theorems for \(p\)-cyclic hybrid self-mappings in Banach spaces
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Publication:369756
DOI10.1155/2013/183174zbMath1273.47089OpenAlexW1966221363WikidataQ57675031 ScholiaQ57675031MaRDI QIDQ369756
Publication date: 19 September 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/183174
weak convergencesmooth Banach spaceBregman distanceaverage sequencescyclic hybrid self-mappingsweak cluster points
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Unnamed Item
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- Robust stability and stabilization of uncertain switched discrete-time systems
- Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties
- Hybrid iterative method for finding common solutions of generalized mixed equilibrium and fixed point problems
- Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
- A note on implicit and explicit Mann iterative processes for asymptotically \(\phi\)-strongly pseudocontractive mappings
- Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
- Stability and stabilization of switched linear discrete-time systems with interval time-varying delay
- Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces
- Fixed point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces
- Existence and convergence of best proximity points
- Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
- Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
- Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings
- On the global asymptotic stability of switched linear time-varying systems with constant point delays
- Stability results for switched linear systems with constant discrete delays
- Fixed point theory for generalized \(\varphi\)-weak contractions
- Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
- Strong convergence and certain control conditions for modified Mann iteration
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Stability of impulsive time-varying systems and compactness of the operators mapping the input space into the state and output spaces
- Viscosity approximation methods for nonexpansive nonself-mappings
- Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
- STRONG CONVERGENCE OF SOME ALGORITHMS FOR λ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACE
