近年来，在图像处理与强度可调辐射疗法的实际应用背景下，分裂可行性问题成为近期非线性分析的研究热点之一。本专著从三个方面研究分裂可行性问题与广义分裂可行性问题（分裂公共不动点问题、分裂变分不等式问题和分裂公共零点问题）解的迭代逼近。主要体现在新算法设计、空间扩展和参数减弱限制条件等方面。对于丰富和扩展分裂可行性问题相关理论有重要价值。

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