A Mixed Mann Iteration Process for Fixed Points of Mixed Increasing Operators in Ordered Banach Spaces

Abstract

In this paper, we develop a new mixed Mann iteration process to approximate the fixed points of mixed increasing operators in ordered Banach spaces and discuss the convergence analysis of the iterative sequences generated by the iteration process. As an application, we develop a new iterative method for solving a class of nonlinear integral equations.

Keywords:

• Fixed points
• Mixed increasing operators
• Mixed Mann iteration process
• Ordered Banach spaces

AMS Subject Classification:

• 47H10
• 47H07
• 49J40

ACKNOWLEDGMENT

This work was supported by the Kyungnam University Research Fund 2005.