| 一类压缩型映射的不动点定理 |
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| 引用本文： | 王宇翔.一类压缩型映射的不动点定理[J].大学数学,2021,37(1):1-4. |
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| 作者姓名： | 王宇翔 |
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| 作者单位： | 山西大同大学 数学与统计学院,山西 大同 037003 |
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| 摘 要： | 在完备的度量空间中,讨论了一类新型的非线性压缩映射ρ(Tx,Ty)≤a(ρ(x,y))ρ(x,Tx)+b(ρ(x,y))ρ(y,Ty)+c(ρ(x,y))ρ(x,y)通过构造迭代序列,指出该映射的不动点的存在性和唯一性,并给出相应的误差估计式,拓展和改进了有关文献的范围.
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| 关 键 词： | 度量空间 非线性 不动点 压缩映射 迭代 |
Fixed Point Theorems for A Class of Nonlinear Compression Mappings |
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| WANG Yu-xiang.Fixed Point Theorems for A Class of Nonlinear Compression Mappings[J].College Mathematics,2021,37(1):1-4. |
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| Authors: | WANG Yu-xiang |
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| Affiliation: | (Shanxi Datong University, Datong Shanxi 037003, China) |
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| Abstract: | In a complete metric space(X,ρ),a new class of nonlinear compression mappings are discussed.ρ(Tx,Ty)≤a(ρ(x,y))ρ(x,Tx)+b(ρ(x,y))ρ(y,Ty)+c(ρ(x,y))ρ(x,y).By constructing itera Sequences,the existence and uniqueness of the fixed point of the mapping are pointed out,and the corresponding error estimates are given to expand and improve the scope of relevant literature. |
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| Keywords: | metric space nonlinear fixed point theorem compression mapping iteration |
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