Common Fixed Point Theorems for a Finite Family of Discontinuous and Noncommutative Maps

Fixexd point theory and applications

Lai-Jiu Lin¹  Sung-Yu Wang¹ 

[1] Department of Mathematics, National Changhua University of Education, Changhua, Taiwan

关键词: Point Theorem;    Fixed Point Theorem;    Existence Theorem;    Cauchy Sequence;    Common Fixed Point;   

DOI  :  10.1155/2011/847170

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study common fixed point theorems for a finite family of discontinuous and noncommutative single-valued functions defined in complete metric spaces. We also study a common fixed point theorem for two multivalued self-mappings and a stationary point theorem in complete metric spaces. Throughout this paper, we establish common fixed point theorems without commuting and continuity assumptions. In contrast, commuting or continuity assumptions are often assumed in common fixed point theorems. We also give examples to show our results. Results in this paper except those that generalized Banach contraction principle and those improve and generalize recent results in fixed point theorem are original and different from any existence result in the literature. The results in this paper will have some applications in nonlinear analysis and fixed point theory.

【 授权许可】

CC BY