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In this paper, we introduce and study a new class of over-relaxed ( A, η, m ) -proximal point iterative methods with errors for solving general nonlinear operator equations in Hilbert spaces.

In this paper, motivated by the above results, we consider the problem of finding a common solution to the zero point problems and fixed point problems based on hybrid iterative methods with errors.

In this paper, motivated by the above results, we consider the problem of finding a common solution to the zero point problem and the fixed point problem based on Mann-type iterative methods with errors.

(1.4) Unlike iteration methods with errors of [13], our iteration process (1.4) is always well defined, that is, ({x_{n}}) is always in K if K is convex subset of E. If ({beta_{n}}={0}) for all (nge1), (1.4) becomes the explicit form as follows: x_{n+1}= 1-alpha_{n})x_{n+1}= 1-alpha_{n}n}x_{n}.

Similar(56)

We propose self-adaptive finite element methods with error control for solving elliptic and electromagnetic problems with discontinuous coefficients.

This bound also cuts through the upper bound from other analytical methods for the ATR problem, such as recursive decomposition algorithms (RDA)—a desirable feature when exact or approximate methods with error guarantees fail to scale.

Can Theorem 2.4 be extended to the Ishikawa iteration method with errors?

In this section, we propose a modification of doubly Mann's iteration method with errors to have strong convergence.

In 1998, Xu [13] introduced an Ishikawa iteration method with errors which appears to be more satisfactory than the one introduced by Liu [12].

We obtain an iterative approximation of a zero point of a monotone operator generated by the shrinking projection method with errors in a Banach space.

We obtain iterative approximations of a zero point of a monotone operator generated by the shrinking projection method with errors in a Banach space.

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