A note on “Implicit iterative process with errors”

A note on “Implicit iterative process with errors”

In this paper, I introduce an implicit iterative process with mixed errors for two finite family of total asymptotically nonexpansive mappings in a uniformly convex Banach space and prove strong convergence theorems under some conditions. My results improved and extended many know results existing in the literature.

Strong and Weak Convergence of Implicit Iterative Process with Errors for Asymptotically Nonexpansive Mappings

The purpose of this paper is to study the weak and strong convergence of an new implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve important known results in [1], [2], [4]–[9], [11]–[15] and others.

A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically Φ-Strongly Pseudocontractive Mappings

A note on implicit multifunction theorems

Thepaper ismainly devoted to the studyof implicitmultifunction theorems in terms of Fréchet coderivative inAsplund spaces. It sharpens thewell-known implicit multifunction theorem of Ledyaev and Zhu (Set Valued Anal., 7, 209–238, 1999) as well as many recent publications about this significant area.

A Note on Global Implicit Function Theorem

We study the boundary behaviour of some certain maximal implicit function. We give estimates of the maximal balls on which some implicit functions are defined and we consider some cases when the implicit function is globally defined. We extend in this way an earlier result from [3] concerning an inequality satisfied by the partial derivatives ∂h ∂x and ∂h ∂y of the map h which verifies the glob...