# Search: authors:"Xia Yang"

4 papers found.
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#### An iterative Algorithm for Hemicontractive Mappings in Banach Spaces

We First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special cases, our result continue to hold for these problems. Our main results can be...

#### An iterative Algorithm for Hemicontractive Mappings in Banach Spaces

We First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special cases, our result continue to hold for these problems. Our main results can be...

#### Viscosity Methods of Asymptotically Pseudocontractive and Asymptotically Nonexpansive Mappings for Variational Inequalities

Let {??}⊂(0,1) be such that ??→1 as ?→∞, let ? and ? be two positive numbers such that ?

#### Iterative Algorithms Approach to Variational Inequalities and Fixed Point Problems

We consider a general variational inequality and fixed point problem, which is to find a point x* with the property that (GVF): x*∈GVI(C,A) and g(x*)∈Fix(S) where GVI(C,A) is the solution set of some variational inequality Fix(S) is the fixed points set of nonexpansive mapping S, and g is a nonlinear operator. Assume the solution set Ω of (GVF) is nonempty. For solving (GVF), we...