Iteration schemes
On Noor-type iteration schemes for multivalued mappings in \(\operatorname{CAT}(0)\) spaces
... Iteration schemes for numerical reckoning fixed points of diverse classes of nonlinear operators are available in the ...via iteration methods has extensively been studied in this regard (see Tan and ...
12
Higher Order Iteration Schemes for Unconstrained Optimization
... new iteration schemes for unconstrained ...for schemes associated with the quasi-Newton ...new schemes us- ing DFP and BFGS updates outperformed their conventional counterparts on a set of ...
11
On the Equivalence of Implicit Kirk Type Fixed Point Iteration Schemes for a General Class of Maps
... Kirk-multistep iteration scheme and a strong convergence result for a general class of maps in a normed linear space was ...Kirk-type iteration (implicit Kirk-Noor, implicit Kirk-Ishikawa and implicit ...
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Approximating fixed points of generalized nonexpansive mappings via faster iteration schemes
... Agarwal et al. [8] showed that S-iteration process involving contractions converges at the rate of convergence of Picard iteration and even faster than Mann iteration. Sahu [11] demonstrated that ...
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Data dependence results of new multi-step and S-iterative schemes for contractive-like operators
... and iteration procedures are some of the main tools in the study of fixed point ...and iteration schemes that have been introduced and developed by several authors to serve various purposes in the ...
12
Stable Iteration Procedures in Metric Spaces which Generalize a Picard-Type Iteration
... the iteration scheme subject to error sequences converges asymptotically to its nominal fixed point provided that the iteration error converges asymptotically to ...of iteration schemes in ...
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A comparative study on the convergence rate of some iteration methods involving contractive mappings
... Iteration schemes for numerical reckoning fixed points of various classes of nonlinear op- erators are available in the ...via iteration meth- ods is extensively studied in this ...Picard ...
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Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces
... Ishikawa iteration methods dealing with nonexpansive and quasi-nonexpansive mappings see 3–11 and the references ...Picard iteration schemes for nonexpansive mappings need not ...Mann ...
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On the Stability and Strong Convergence for Jungck Agarwal et al Iteration Procedure
... al. iteration scheme converges faster than other Jungck Iteration schemes and decreasing order of convergence of Jungck iteration schemes is: Jungck-Agarwal et ...
6
Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces
... weak and strong convergence theorems for these classes of multivalued mappings with- out the compactness condition on the domain of the mappings using Mann and Ishikawa iteration schemes. Thus our results ...
14
On the convergence of a finite family of contractive type mappings in CAT (0) space
... Abstract — In this paper, we analyze the Mann and Ishikawa type iteration schemes for a finite family of uniformly L-Lipschizian asymptotically demicontractive mappings in CAT(0) space. Our results are the ...
6
Random Ishikawa Iteration Scheme of Two Random Operators
... Random iteration schemes have been introduced and studied by a number of authors (see, ...Mann iteration scheme of a continuous random operator on a separable Banach ...
5
Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings
... In this paper, motivated by Ceng et al. [, ], Wang and Guo [], Zhou [], Nadezhk- ina and Takahashi [], Cho et al. [], Takahashi and Takahashi [], Anh [, ] and Anh et al. [, ], we introduce several ...
11
Two Step Modified Ishikawa Iteration Scheme for Multi-Valued Mappings in CAT(0) Space
... Ishikawa iteration schemes for multi- valued mappings and proved that these schemes for a multi-valued map T with a fixed point p converges to a fixed point q of T under certain ...the ...
8
A fast algorithm for matrix balancing
... Abstract. As long as a square nonnegative matrix A contains sufficient nonzero elements, then the matrix can be balanced, that is we can find a diagonal scaling of A that is doubly stochastic. A number of algorithms have ...
18
A history of inverse iteration
... inverse iteration sometimes give a lower accuracy or require more work to attain the same accuracy when eigenvalues are not well separated or when they oc- cur in large ...
7
Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
... Based on Definition 1.3, Berinde [3] compared the Picard and Mann iterations of the class of Zamfirescu operators defined on a closed convex subset of a uniformly convex Banach space and concluded that the Picard ...
6
Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
... Ishikawa iteration methods, see [4], for a recent ...Picard iteration (or the method of successive approximations), need not converge to the fixed point of the operator in ...
9
Convergence Rate of Implicit Iteration Process and a Data Dependence Result
... Abstract. The aim of this paper is to introduce an implicit S-iteration process and study its convergence in the framework of W-hyperbolic spaces. We show that the implicit S-iteration process has higher ...
13
Adventures in applying iteration lemmas
... conjecture that the index of such elements is bounded as well. We show that Kleene’s theorem holds in semigroups of this class, and that as a consequence all semigroups in the class are residually finite. We also give a ...
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