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An Iterative Algorithm on Approximating Fixed Points of Pseudocontractive Mappings
Let E be a real reflexive Banach space with a uniformly Gâteaux differentiable norm. Let K be a nonempty bounded closed convex subset of E, and every nonempty closed convex bounded subset of K has the fixed point property for non-expansive self-mappings.
Youli Yu
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Păstorel Gaşpar, Lorena Popa
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Let {𝑡𝑛}⊂(0,1) be such that 𝑡𝑛→1 as 𝑛→∞, let 𝛼 and 𝛽 be two positive numbers such that 𝛼+𝛽=1, and let 𝑓 be a contraction. If 𝑇 be a continuous asymptotically pseudocontractive self-mapping of a nonempty bounded closed convex subset 𝐾 of a real reflexive ...
Xionghua Wu +3 more
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Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1+T2: K→K is a continuous and strongly pseudocontractive mapping, where T1:K→K is Lipschitz and T2:K→K has the bounded range mapping.
Xue Zhiqun
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This paper addresses the distributed tracking control problem of pure-feedback multi-agent systems with full state constraints under a directed graph in finite time.
Qiutong Ji, Gang Chen, Qiurui He
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Convergence theorems for fixed points of demicontinuous pseudocontractive mappings
Let D be an open subset of a real uniformly smooth Banach space E. Suppose T:D¯→E is a demicontinuous pseudocontractive mapping satisfying an appropriate condition, where D¯ denotes the closure of D.
H. Zegeye, C. E. Chidume
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Bifurcation behaviors shape how continuous physical dynamics solves discrete Ising optimization
Simulating physical dynamics to solve hard combinatorial optimization has proven effective for medium- to large-scale problems. The dynamics of such systems is continuous, with no guarantee of finding optimal solutions of the original discrete problem ...
Juntao Wang +4 more
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We prove that Mann and Ishikawa iterations are equivalent models dealing with $ \psi $-uniformly pseudocontractive or d-weakly contractive maps without bounded range.
B. E. Rhoades, S¸TEFAN M. S¸OLTUZ
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Let E be an arbitrary uniformly smooth real Banach space, let D be a nonempty closed convex subset of E, and let T:D→D be a uniformly generalized Lipschitz generalized asymptotically Φ-strongly pseudocontractive mapping with q∈F(T)≠∅. Let {an},{bn},{cn},{
Zhiqun Xue, Yaning Wang, Haiyun Zhou
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On iterative fixed point convergence in uniformly convex Banach space and Hilbert space
Some fixed point convergence properties are proved for compact and demicompact maps acting over closed, bounded and convex subsets of a real Hilbert space.
Srivastava Julee, Singh Neeta
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