Fixed point theorems for almost and utmost acyclic contractions

被引：0
|
作者：
Basha, S. Sadiq [1 ]
机构：
[1] Anna Univ, Dept Math, Chennai 600025, India
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2024年
关键词：
Contraction; Fixed point; Acyclic mapping; Cyclic mapping; Almost acyclic contraction; Utmost acyclic contraction; Uniformly convex Banach space; PROXIMITY POINTS; EXISTENCE; PAIR;
D O I：
10.1007/s44146-024-00156-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this article is to prove fixed point theorems for new classes of acyclic mappings known as almost acyclic contractions and utmost acyclic contractions in the framework of a uniformly convex Banach space. Further, it is interesting to observe that a best proximity point theorem for cyclic contractions is elicited as an application of one of the fixed point theorems.
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页数：11
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