Results 21 to 30 of about 1,554,505 (255)

Convergence theorems for fixed points of demicontinuous pseudocontractive mappings

Fixed Point Theory and Applications, 2005
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
doaj   +2 more sources

Bifurcation behaviors shape how continuous physical dynamics solves discrete Ising optimization

Nature Communications, 2023
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, Daniel Ebler, K. Y. Michael Wong, David Shui Wing Hui, Jie Sun   +4 more
doaj   +1 more source

The Equivalence of Convergence Results of Modified Mann and Ishikawa Iterations with Errors without Bounded Range Assumption

Abstract and Applied Analysis, 2012
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

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
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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When uniformly-continuous implies bounded [PDF]

, 2004
Let (X,p) and (Y,σ) be metric spaces. A function f : X → Y is (by definition) bounded if the image of f has finite σ-diameter. It is well-known that if X is compact then each continuous f : X → Y is bounded.
O'Farrell, Anthony G.
core   +2 more sources

Existence Theorems on Solvability of Constrained Inclusion Problems and Applications

Abstract and Applied Analysis, 2018
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
Teffera M. Asfaw
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Iterative Methods for Pseudocontractive Mappings in Banach Spaces

Abstract and Applied Analysis, 2013
Let E a reflexive Banach space having a uniformly Gâteaux differentiable norm. Let C be a nonempty closed convex subset of E, T:C→C a continuous pseudocontractive mapping with F(T)≠∅, and A:C→C a continuous bounded strongly pseudocontractive mapping with
Jong Soo Jung
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A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces

Applied General Topology
Let E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let  Γ : C ⟶ C and G : C ⟶ C be enriched strictly pseudocontractive mapping and  Φ Γ -enriched Lipschitzian mapping respectively.
Imo Kalu Agwu, Naeem Saleem, Umar Isthiaq   +2 more
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Homeomorphism Mapping Based Neural Networks for Finite Time Constraint Control of a Class of Nonaffine Pure-Feedback Nonlinear Systems

Complexity, 2019
This paper proposes a new scheme for solving finite time neural networks adaptive tracking control issue for the nonaffine pure-feedback nonlinear system.
Jianhua Zhang, Quanmin Zhu, Yang Li, Xueli Wu   +3 more
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Adaptive Neural Event-Triggered Control of MIMO Pure-Feedback Systems With Asymmetric Output Constraints and Unmodeled Dynamics

IEEE Access, 2020
In this paper, the issue of adaptive neural event-triggered control (ETC) is studied for uncertain block-structure multi-input multi-output (MIMO) constrained non-affine nonlinear systems with unmodeled dynamics.
Yu Hua, Tianping Zhang
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