Iterative Algorithms Of A Family Of Quasi-φ-Asymptotically And Quasi-monexpansive Mappings

The iterative problem is one of the more important problems that people research，especially in recent years， the research has gained many achivement． Among the fixedpoint researches that the congvergence problem is the key about making approximatingfixed point． In this paper，the congvergence problem of the fixed point of the modifiedIshikawa iterative sequences，a family of quasi-φ-asymptotically，quasi-asymptoticallyand quasi-nonexpansive mappings are discussed， At the same time， it is theconvergence theorem of iterative sequence of a family of quasi-nonexpansive andquasi-asymptotically mapping, a family of asymptotically nonexpansive mapping aregiven．This paper mainly consists of four aspects：The first part， introduce the research background of the paper；The second part， the iterative problem of the fixed point of the nonexpansivemapping and asymptotically quasi-nonexpansive mapping are discussed；The third part，Strong convergence theorems of common fixed points of a family ofa new quasi and quasi-Asymptotically are given in real Hilbert space．The fourth part， Strong Convergence Theorems of common fixed points of afamily of quasi-φ-asymptotically is discussed in uniformly convex and smooth Banachspace．...