Two Generalized Fixed Point Theorems Of Contractive Type

Fixed point theory is an important part of functional analysis. Since the 1920s, from the Banach classical theorem of contractive mapping to Ishikawa iterative sequence approximation , the fixed point theory have formed a very abundant and sound system, where the contractive type of mapping have been concerned by scholars for a long time .This paper mainly gives that two new fixed point theorems of contractive type, which generalize corresponding some results in [1].The paper is organized as follows :In Chapter 1, we introduce some main development of fixed point theory, and give the main content of this paper.In Chapter 2, we gives related prerequisite used in this paper.In Chapter 3, we bring two new fixed point theorem of contractive type, and give their strict proof.