Abstract metric spaces and approximating fixed points of a pair of contractive type mappings

作者：Abbas M^*; Jovanovic Mirko; Radenovic S; Sretenovic Aleksandra; Simic Suzana

来源：Journal of Computational Analysis and Applications, 2011, 13(2): 243-253.

• Convex abstract metric spaces
• Ishikawa type iteration process with errors
• Normal and non-normal cone
• Uniformly quasi-Lipschitzian mappings

Recently, Chao Wang, Jinghao Zhu, Bosko Damjanovie, Liang-gen Hu [Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces, Applied Mathematics and Computation 215 (2009) 1522-1525] proved some results for an Ishikawa type iteration process with errors, which converges to the unique common fixed point of a pair of contractive type mappings in complete generalized convex metric spaces. The aim of this paper is to consider this in the frame of abstract (cone) metric spaces. We extend some fixed point results of these mappings from complete generalized convex metric spaces to convex abstract metric spaces with the solid cone. Also, we have improved some results. Four examples are included.

• 出版日期2011-2