COMMON FIXED POINTS FOR A COUNTABLE FAMILY OF NON-SELF MULTI-VALUED MAPPINGS ON METRICALLY CONVEX SPACES

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Yong-jie Piao

Abstract





In this paper, we will consider some existence theorems of common fixed points for a countable family of non-self multivalued mappings defined on a closed subset of a complete metrically convex space, and give more generalized common fixed point theorems for a countable family of single-valued mappings. The main results in this paper generalize and improve many common fixed point theorems for single valued or multi-valued mappings with contractive type conditions.





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