Coupled solutions for a bivariate weakly nonexpansive operator by iterations

被引：6

作者：

Berinde, Vasile ^{[1
]}

Khan, Abdul Rahim ^{[2
]}

Pacurar, Madalina ^{[3
]}

机构：

[1] Tech Univ Cluj Napoca, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Baia Mare 430072, Romania

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] Univ Babes Bolyai, Fac Econ & Bussiness Adm, Dept Anal Forecast & Math, Cluj Napoca 400591, Romania

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

FIXED-POINT THEOREMS; MIXED MONOTONE MAPPINGS; ADMISSIBLE PERTURBATIONS; NONLINEAR CONTRACTIONS; CONVERGENCE THEOREMS; APPROXIMATION; CONSTRUCTION;

D O I：

10.1186/1687-1812-2014-149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove weak and strong convergence theorems for a double Krasnoselskij-type iterative method to approximate coupled solutions of a bivariate nonexpansive operator F : C x C -> C, where C is a nonempty closed and convex subset of a Hilbert space. The new convergence theorems generalize, extend, improve, and complement very important old and recent results in coupled fixed point theory. Some appropriate examples to illustrate our new results and their generalization are also given.

引用

页数：12

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