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[PDF] Top 20 Some fixed point iteration procedures

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Some fixed point iteration procedures

Some fixed point iteration procedures

... The following theorem establishes a fixed point for a contractive definition which includes nonexpansive mappings... If each subsequential weak limit of {s is a fixed point of T, then {s[r] ... See full document

16

ZAMFIRESCU MAPS AND IT’S STABILITY ON GENERALIZED SPACE

ZAMFIRESCU MAPS AND IT’S STABILITY ON GENERALIZED SPACE

... of fixed point iteration procedures firstly introduced and established by Harder and Hicks [6], they give some stability results for The Mann and Kirk function iterations under various ... See full document

7

Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self mappings

Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self mappings

... Definition 2.2 . Let T: Ω × F ® F be a nonexpansive random operator, f: Ω × F ® F be a weakly contractive random operator, F is a nonempty convex subset of a separable Banach space X. For each t Î (0, 1), the random ... See full document

7

Fixed Point Theorems for T-Ciric Quasi-contractive Operator in CAT(0) Spaces

Fixed Point Theorems for T-Ciric Quasi-contractive Operator in CAT(0) Spaces

... Theorem 1.1. (See [24]) Let (M, d) be a complete metric space and T, S : M → M be two mappings such that T is continuous, one-to-one and subsequentially convergent. If S is a TZ operator, S has a unique fixed ... See full document

11

Convergence Comparison of Several Iteration Algorithms for the Common Fixed Point Problems

Convergence Comparison of Several Iteration Algorithms for the Common Fixed Point Problems

... We prove that Browder’s and Halpern’s type convergence theorems imply Moudafi’s viscosity approximations with the weak contraction, and give the estimate of convergence rate between Halpern’s type iteration and ... See full document

13

Fixed point iteration for asymptotically quasi nonexpansive mappings in Banach spaces

Fixed point iteration for asymptotically quasi nonexpansive mappings in Banach spaces

... Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T : C → C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for ... See full document

8

Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method

Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method

... variational iteration method (VIM) was extended to find approximate solutions of fractional chemical engineering ...of fixed point iteration ... See full document

11

S- Iteration Process for Convergence of Two Asymptotically Non-Expansive Mapping in CAT (0) Space

S- Iteration Process for Convergence of Two Asymptotically Non-Expansive Mapping in CAT (0) Space

... establish some strong convergence results of newly defined modified S-iteration scheme (8) to converge to common fixed point for two asymptotically nonexpansive mappings in the setting of ... See full document

7

A new iterative scheme with nonexpansive mappings for equilibrium problems

A new iterative scheme with nonexpansive mappings for equilibrium problems

... by fixed point techniques of Takahashi and Takahashi in [19] and an improvement set of extragradient-type iteration methods in [20], we introduce a new iteration algorithm for finding a common ... See full document

11

On Stability of Iterative Sequences with Error

On Stability of Iterative Sequences with Error

... Picard-Mann iteration with error iterative processes converge strongly to the unique fixed point of Lipschitzian strongly pseudo-contractive ... See full document

12

Some Approximation in Cone Metric Space and Variational Iterative Method

Some Approximation in Cone Metric Space and Variational Iterative Method

... new fixed point theorems in cone metric space and apply the variation iteration me- thod to integral-differential equation, and extend some results in ...for some various non-linear ... See full document

12

Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators

Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators

... Ishikawa iteration when applied to contraction-like ...the fixed point of an operator, we approximate the operator with a contractive-like ...the fixed point, and therefore to ... See full document

7

A new multi-step iteration for solving a fixed point problem of nonexpansive mappings

A new multi-step iteration for solving a fixed point problem of nonexpansive mappings

... Let C be a nonempty, closed and convex subset of a real Banach space E. Let T : C → C be a nonlinear mapping. The fixed point set of T is denoted by F(T), that is, F(T ) = {x ∈ C : x = Tx } . Recall that a mapping ... See full document

13

Fixed Point Iteration Method for Solving the Convex Quadratic Programming with Mixed Constraints

Fixed Point Iteration Method for Solving the Convex Quadratic Programming with Mixed Constraints

... The present paper is devoted to a novel smoothing function method for convex quadratic programming problem with mixed constrains, which has important application in mechanics and engineering science. The problem is ... See full document

7

Fixed Point Results for K Iteration Using Non Linear Type Mappings

Fixed Point Results for K Iteration Using Non Linear Type Mappings

... generalized iteration process has better convergence rate than the K-iteration process for single mapping and some of the existing iteration ... See full document

13

APPROXIMATING SOLUTIONS OF NONLINEAR HYBRID CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS VIA DHAGE ITERATION PRINCIPLE

APPROXIMATING SOLUTIONS OF NONLINEAR HYBRID CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS VIA DHAGE ITERATION PRINCIPLE

... give some preliminaries and key fixed point theorem that will be used in later ...prove some sufficient conditions of the existence and approximation of solutions of ...Dhage iteration ... See full document

10

Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps

Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps

... obtain fixed point iteration methods which converge for some operators, such as nonexpansive ones, for which Picard iteration ...Ishikawa iteration was invented to obtain a ... See full document

12

Fixed Point Iteration Chaos Controlled ZCDPLL

Fixed Point Iteration Chaos Controlled ZCDPLL

... A number of methods were proposed for chaos control [13] such as using Pyragas method to broaden the tracking range by extending the stable operation behaviour of ZCDPLL to a larger digital filter gain, which leads to ... See full document

11

On the Weak Stability of Picard Iteration for Some Contractive Type Mappings and Coincidence Theorems

On the Weak Stability of Picard Iteration for Some Contractive Type Mappings and Coincidence Theorems

... coincidence point and using this, we establish stability results for common fixed point iterative procedures in the class of mappings that satisfy the above contraction conditions ... See full document

5

root2.2

root2.2

... Simple fixed point iteration: In the fixed point iteration method we rearrange the function f(x) = 0 such that x lies on the left side of the equation.. For example: the equation.[r] ... See full document

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