BEST PROXIMITY POINTS OF MULTIVALUED GERAGHTY CONTRACTIONS

被引：2
|
作者：
Debnath, Pradip [1 ]
机构：
[1] Assam Univ, Dept Appl Sci & Humanities, Cachar 788011, Assam, India
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 01期
关键词：
best proximity point; fixed point; Geraghty contraction; complete metric space; multivalued map; optimization;
D O I：
10.18514/MMN.2023.3984
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
There are situations when we have to resort to the approximate optimal solution of equations of the type g(t) = t when g is not a self-map, because exact solution of that equation does not exist. The existence of such optimal solutions are ensured by best proximity point theorems. In this paper, we define multivalued Geraghty contraction (MVGC) in a complete metric space and establish the corresponding best proximity point (BPP) result. Our result extends the famous result due to Geraghty on fixed points.
引用
收藏
页码：119 / 127
页数：9
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