Study of variational inequalities, fixed points, and their approximation algorithms constitutes a topic of intensive research efforts, especially within the past 30 years. Many well-known problems arising in various branches of science can be studied by using algorithms which are iterative in their nature. As an example, in computer tomography with limited data, each piece of information implies the existence of a convex setC_iin which the required solution lies.

在十字路口找到点的问题is then of crucial interest, and it cannot be usually solved directly. Therefore, an iterative algorithm must be used to approximate such point.

A common method in Hilbert spaces is to use the so-called cyclic sequential scheme, in which every convex setC_iis associated with the metric projection个人电脑_i，从所有希尔伯特的空间C_i。然后，从初始猜测产生的序列，并通过周期性地应用每个个人电脑_iis studied to ensure the weak convergence to a point inC_∗。In the more general setting of nonexpansive maps, given an initial guess, the existence of the weak limit of the sequence constructed by iterations of a single map is not ensured.

A common way to make certain that such limit exists is to use the Krasnoselskii- Mann method, which consists of substituting the map with a convex combination between the identity and the map itself.

“在过去的30年左右的时间里，Krasnoselskii-Mann迭代程序的研究近似于非专业映射的固定点以及其某些概括的固定点以及增生型操作员的零元素的近似值，一直是研究繁荣的研究领域。。”（Chidume，“ Banach空间和非线性迭代的几何特性” - Springer，2009年）。

The aim of this special issue is to present the newest and most extended coverage of the fundamental ideas, concepts, and important results related to the topics of interest to this special issue. Potential topics include, but are not limited to:

• Iterative schemes to approximate fixed points of nonexpansive type mappings
• Iterative approximations of zeros of accretive type operators
• 变异不平等问题解决方案的迭代近似
• Iterative approximations of solutions of equilibrium problems
• Iterative approximations of common fixed points (and/or common zeros) of families of these mappings

Manuscripts submitted will be considered for publication with the understanding that the same work has not been published and is not under consideration for publication elsewhere.

Before submission authors should carefully read over the journal's Author Guidelines, which are located at//www.newsama.com/journals/ijmms/guidelines/。Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System athttp://mts.hindawi.com/according to the following timetable: