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[PDF] Top 20 On some Mann’s type iterative algorithms

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On some Mann’s type iterative algorithms

On some Mann’s type iterative algorithms

... several iterative approaches to approximate the ...our iterative scheme summarizes a lot of them assuming very simple hypotheses on the nu- merical sequences, and it can be applied to a wide class of ... See full document

16

Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces

Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces

... of Mann type iterative algorithms with errors and Halpern-type iterative algorithms with errors to find fixed points of weak Bregman relatively nonexpansive mappings and ... See full document

24

Iterative schemes for approximating solution of nonlinear operators in Banach spaces

Iterative schemes for approximating solution of nonlinear operators in Banach spaces

... Halpern-Mann type iterative scheme by using the generalized f -projection operator for finding a common element in the set of zeroes of a system of maximal monotone operators, the set of fixed points ... See full document

23

On the role of the coefficients in the strong convergence of a general type Mann iterative scheme

On the role of the coefficients in the strong convergence of a general type Mann iterative scheme

... – S)x ∗ + Dx ∗ , x ∗ – p ≤  since x ∗ is the solution of ...of S never appears; all the properties, including the strong convergence, have been proved only by the hypotheses on the control ... See full document

23

Another type of Mann iterative scheme for two mappings in a complete geodesic space

Another type of Mann iterative scheme for two mappings in a complete geodesic space

... The fixed point approximation has been studied in a variety of ways and its results are useful for the other studies. In , Mann [] introduced an iteration procedure for ap- proximating fixed points of a ... See full document

9

Alternating mann iterative algorithms for the split common fixed-point problem of quasi-nonexpansive mappings

Alternating mann iterative algorithms for the split common fixed-point problem of quasi-nonexpansive mappings

... That is, x ∗ solves the SFP (.) if and only if x ∗ solves the fixed point equation (.) (see [] for the details). This implies that we can use fixed point algorithms (see [, –]) to solve SFP. A popular ... See full document

12

Generalized nonlinear implicit quasivariational inclusions

Generalized nonlinear implicit quasivariational inclusions

... an iterative algorithm, of a class of generalized nonlinear variational inequalities involving relaxed Lipschitz and relaxed monotone ...the Mann- and Ish- ikawa-type perturbed iterative ... See full document

15

Iterative methods for triple hierarchical variational inequalities with mixed equilibrium problems, variational inclusions, and variational inequalities constraints

Iterative methods for triple hierarchical variational inequalities with mixed equilibrium problems, variational inclusions, and variational inequalities constraints

... two iterative meth- ods for solving Problem ...and Mann?s iteration method, we first propose a multi-step hybrid steepest-descent extragra- dient ...combining Mann?s iteration method, ... See full document

62

Stability of Jungck type iterative procedures

Stability of Jungck type iterative procedures

... of iterative procedures is both of theoretical and numerical ...the iterative procedure (S-HH) (see below) for a pair of self-maps and develop the theory for this general ...and S = id, the ... See full document

9

A generalized system of variational inequalities in a Banach space

A generalized system of variational inequalities in a Banach space

... has some monotonicity, many iterative methods for solving the variational inequality ...a Mann type iterative scheme for variational inequalities in compact subsets of Banach ... See full document

11

Mann type hybrid steepest descent method for three nonlinear problems

Mann type hybrid steepest descent method for three nonlinear problems

... several iterative methods have been proposed and analyzed to three nonlinear problems, namely, system of variational inequalities, gener- alized mixed equilibrium problems and variational inequalities; see, for ... See full document

29

Convergence and (S,T )- Stability Almost Surely for Random Jungck-Noor Type Iterative Scheme with Convergence Comparison

Convergence and (S,T )- Stability Almost Surely for Random Jungck-Noor Type Iterative Scheme with Convergence Comparison

... 1953, Mann [9] introduced the one step iterative scheme and used it to prove the fixed point results defined for the non-expansive mappings where Picard iteration scheme is not ...step iterative ... See full document

7

Krasnosel’skiĭ-Mann-Opial type iterative solution of m-accretive operator equation and its stability in arbitrary Banach spaces

Krasnosel’skiĭ-Mann-Opial type iterative solution of m-accretive operator equation and its stability in arbitrary Banach spaces

... operator S : D(A) ⊆ X → X is said to be dissipative if and only if (–S) is accretive and S is called m-dissipative if (–S) is m-accretive (see, ...[]). Some related results of the ... See full document

8

Convergence and summable almost T stability of the random Picard Mann hybrid iterative process

Convergence and summable almost T stability of the random Picard Mann hybrid iterative process

... hybrid iterative process ...contractive type operator defined in (.). We also establish some convergence results for the random Picard-Mann hybrid iterative process ...random ... See full document

14

Some results on Rockafellar type iterative algorithms for zeros of accretive operators

Some results on Rockafellar type iterative algorithms for zeros of accretive operators

... following iterative algorithms of Halpern type [] and Mann type [] in Hilbert spaces and Banach spaces: For any initial point x  ... See full document

19

Relaxed extragradient methods for systems of variational inequalities

Relaxed extragradient methods for systems of variational inequalities

... composite Mann-type viscosity iterative algorithm for finding a solution of triple hierarchical variational inequalities de- fined over the common set of solutions of finitely many generalized mixed ... See full document

41

An Iterative Process for Solving Fixed Point Problems for Weak Contraction Mappings

An Iterative Process for Solving Fixed Point Problems for Weak Contraction Mappings

... Example 3. Let T : [0, 1] → [0, 1] be defined by T x = 1 − x for all x ∈ [0, 1]. Then T is a nonexpansive mapping with a usual metric and it has a unique fixed point x ∗ = 1 2 . It is easy to see that the Picard ... See full document

5

Perturbed three step approximation process with errors for a
generalized implicit nonlinear quasivariational inclusions

Perturbed three step approximation process with errors for a generalized implicit nonlinear quasivariational inclusions

... construct some perturbed three-step approximation processes with errors for solving a class of generalized implicit nonlinear quasivariational ...the iterative sequences generated by ... See full document

15

A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem

A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem

... explicit iterative schemes for computing a common element of the solution set of system of variational inequalities and a set of zeros of an accretive operator in Banach ... See full document

25

Hybrid iterative method for systems of generalized equilibria with constraints of variational inclusion and fixed point problems

Hybrid iterative method for systems of generalized equilibria with constraints of variational inclusion and fixed point problems

... another iterative algorithm by the hy- brid Mann-type viscosity method for finding a solution of the system of generalized equi- librium problems with constraints of several problems: a generalized ... See full document

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