APPROXIMATING COMMON FIXED POINTS OF NONCOMMUTING ALMOST CONTRACTIONS IN METRIC SPACES

作者：Berinde Vasile^*

来源：Fixed Point Theory, 2010, 11(2): 179-188.

• Metric space
• weakly compatible mapping
• almost contraction
• coincidence point
• common fixed point
• iterative method
• convergence theorem
• error estimate
• rate of convergence

In this paper we prove the existence of coincidence points and common fixed points of noncommuting almost contractions in metric spaces. Moreover, a method for approximating the coincidence points or the common fixed points is also constructed, for which both a priori and a posteriori error estimates are obtained. These results generalize, extend and unify several classical and very recent related results in literature.

• 出版日期2010