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iterative schemes

On the general principle of multi-step fixed point iterative schemes

On the general principle of multi-step fixed point iterative schemes

... Abstract. In this study, we establish a general principle for multi-step fixed point iterative schemes in the sense of Rhoades and Soltuz [B.E. Rhoades, S.M. Soltuz, The equivalence between Mann-Ishikawa ...

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Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

... The problem of finding zero points for maximal monotone operators plays an impor- tant role in optimizations. This is because it can be reduced to a convex minimization problem and a variational inequality problem. Many ...

10

Data Dependence of Some New Iterative Schemes for Quasi Contractive Operators

Data Dependence of Some New Iterative Schemes for Quasi Contractive Operators

... various iterative schemes has been studied by various authors like Rus and Muresan [8], Rus et ...[16] iterative schemes using quasi contractive ...

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New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings

New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings

... Constructing iterative algorithms for approximating common fixed points of some nonlinear operators has been studied ...our iterative scheme ...many iterative schemes as special ...

9

Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators

Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators

... x}. Iterative schemes for finding common elements of EP and fixed points set of nonexpansive mappings have been studied recently; see, for example, 12, 15–17 and the references ...

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Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings

Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings

... Taking into account possibly inexact data, we study iterative schemes for approximating fixed points and attractors of contractive and nonexpansive set-valued mappings, respectively. More precisely, we are ...

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Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces

Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces

... We introduce composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach spaces. Then, under certain differen control conditions, we ...

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Fixed points by certain iterative schemes with applications

Fixed points by certain iterative schemes with applications

... some iterative schemes have at- tracted many ...using iterative schemes because of its promise of enormous utility in fixed point theory and its ...some iterative schemes (see ...

14

On the Rate of Convergence of Some New Modified Iterative Schemes

On the Rate of Convergence of Some New Modified Iterative Schemes

... SP iterative schemes and compare the rate of convergence of Ishikawa, Agarwal et ...SP iterative schemes not only for particular fixed value of    n , n , n but also for varying the value ...

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Comparison of different iterative schemes for ISPH based on Rankine source solution

Comparison of different iterative schemes for ISPH based on Rankine source solution

... calculation. Iterative methods are normally used for solving Poisson equation with large particle ...many iterative methods available and the question for using which one is still ...three iterative ...

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On rate of convergence of various iterative schemes

On rate of convergence of various iterative schemes

... In [9], Qing and Rhoades , by taking a counter example , showed that the Ishikawa iteration process is faster than the Mann iteration process for Zamfirescu operators.. Thus , Theorem in[r] ...

6

Comparison of different iterative schemes for ISPH based on Rankine source solution

Comparison of different iterative schemes for ISPH based on Rankine source solution

... Permanent repository link: http://openaccess.city.ac.uk/18493/ Link to published version: http://dx.doi.org/10.1016/j.ijnaoe.2016.10.007 Copyright and reuse: City Research Online aims to[r] ...

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Iterative schemes for approximating solution of nonlinear operators in Banach spaces

Iterative schemes for approximating solution of nonlinear operators in Banach spaces

... hybrid iterative scheme of the generalized f -projection operator based on the Halpern- Mann type iterative scheme for finding a common element of the set of zeroes of a system of maximal monotone operators, ...

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New Hybrid Iterative Schemes for an Infinite Family of Nonexpansive Mappings in Hilbert Spaces

New Hybrid Iterative Schemes for an Infinite Family of Nonexpansive Mappings in Hilbert Spaces

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ...

8

Construction of Fixed Points by Some Iterative Schemes

Construction of Fixed Points by Some Iterative Schemes

... Ali, “Convergence theorems for common fixed points for finite families of nonexpansive mappings in reflexive Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol.[r] ...

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Convergence on Composite Iterative Schemes for Nonexpansive Mappings in Banach Spaces

Convergence on Composite Iterative Schemes for Nonexpansive Mappings in Banach Spaces

... The viscosity approximation method of selecting a particular fixed point of a given nonexpansive mapping in a Hilbert space was proposed by Moudafi 15 see 16 for finding hierarchically a fixed point. In 2004, Xu 17 ...

14

Wiener Hopf equation technique for solving equilibrium problems and variational inequalities and fixed points of a nonexpansive mapping

Wiener Hopf equation technique for solving equilibrium problems and variational inequalities and fixed points of a nonexpansive mapping

... In this section, we consider the two generalized variational inequalities (.) and (.), respectively. Furthermore, applying Lemma ., we firstly suggest and give some iterative schemes for solving the ...

17

Common fixed point and solution of nonlinear functional equations

Common fixed point and solution of nonlinear functional equations

... Ishikawa iterative schemes in- volve general convex combinations, we need some convex structure in a metric space to investigate their convergence on a nonlinear ...

11

Hybrid extragradient method for generalized mixed equilibrium problems and fixed point problems in Hilbert space

Hybrid extragradient method for generalized mixed equilibrium problems and fixed point problems in Hilbert space

... introduce iterative schemes based on the extragradient method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of a nonexpansive ...

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Convergence theorems on asymptotically demicontractive and hemicontractivemappings in the intermediate sense

Convergence theorems on asymptotically demicontractive and hemicontractivemappings in the intermediate sense

... Mann iterative scheme for the class of asymptotically demicontractive ...Mann iterative scheme for asymptotically nonexpansive ...Ishikawa iterative schemes for uniformly L-Lipschitzian ...

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