非線性問題的迭代逼近理論范欽偉賀慧敏 9787030740465 【台灣高等教育出版社】

Name: 非線性問題的迭代逼近理論 范欽偉 賀慧敏 9787030740465 【台灣高等教育出版社】
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書名：非線性問題的迭代逼近理論
ISBN：9787030740465
出版社：科學
著編譯者：范欽偉賀慧敏
頁數：204
所在地：中國大陸 *此為代購商品
書號：1563927
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內容簡介

近年來，在圖像處理與強度可調輻射療法的實際應用背景下，分裂可行性問題成為近期非線性分析的研究熱點之一。本專著從三個方面研究分裂可行性問題與廣義分裂可行性問題（分裂公共不動點問題、分裂變分不等式問題和分裂公共零點問題）解的迭代逼近。主要體現在新演算法設計、空間擴展和參數減弱限制條件等方面。對於豐富和擴展分裂可行性問題相關理論有重要價值。

Part I Split feasibility problem
Chapter 1 Introduction to split feasibility problem
1 1 Abstract space and their property
1 2 Split feasibility problem
1 3 General split feasibility problem
1 4 Conclusions
Chapter 2 Weak convergence theorems for solving the split feasibility problem
2 1 Introduction to split feasibility problem
2 2 Preliminaries for weak convergence theorems
2 3 Main results
2 4 Applications for the theorems
2 5 Conclusions
Chapter 3 Strong convergence theorems for solving the split feasibility problem
3 1 Introduction to the background knowledge
3 2 Preliminaries for strong convergence theorems
3 3 Main results
3 4 Applications for the theorems
3 5 Conclusions
Chapter 4 Convergence theorems for solving the split common fixed point problem
4 1 Introduction to split common fixed point problem
4 2 Preliminaries for convergence theorems
4 3 Main results
4 4 Conclusions
Part II Fixed point problems
Chapter 5 Introduction to fixed point problems
5 1 Some elementary definitions and properties in Banach space
5 2 Some elementary definitions and properties on monotone operator and accretive operator
5 3 Brief history on iteration solution of nonlinear operators
5 4 Brief history on iteration solution of nonlinear operator semigroups
5 5 Conclusions
Chapter 6 Fixed point theorems of k-strictly pseudo-contractive mappings in Hilbert space
6 1 Introduction to k-strictly pseudo-contractive mappings in Hilbert space
6 2 Preliminaries for convergence theorems
6 3 Main results
6 4 Conclusions
Chapter 7 Fixed point theorems of k-strictly pseudo-contractive mappings in Banach space
7 1 Introduction to k-strictly pseudo-contractive mappings in Banach space
7 2 Preliminaries for convergence theorems
7 3 Main results
7 4 Conclusions
Chapter 8 Common fixed point theorems of asymptotically pseudocontractive semigroups
8 1 Introduction to asymptotically pseudo-contractive semigroups
8 2 Preliminaries for common fixed point theorems
8 3 Main results
8 4 Conclusions
Part III Equilibrium problems
Chapter 9 Introduction to equilibrium problems
9 1 Some elementary definitions and properties
9 2 Brief history of equilibrium problems
9 3 Conclusions
Chapter 10 Convergence theorems for solving equilibrium problems and optimization problems
10 1 Introduction to equilibrium problems
10 2 Preliminaries for convergence theorems
10 3 Main results
10 4 Applications for optimization problems
10 5 Conclusions
Chapter 11 Convergence theorems for equilibrium and fixed point problems
11 1 Introduction to equilibrium and fixed point problems
11 2 Preliminaries for convergence theorems
11 3 Main results
11 4 Conclusions
Bibliography
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