New Fixed Point Theorems for Generalized Distances

• Main Authors: Tuo-Yan Wang, 王拓喦
• Other Authors: Ing-Jer Lin
• Format: Others
• Language: en_US
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/83769481449366548192

碩士 === 國立高雄師範大學 === 數學系 === 101 === In the recent developments of fixed point theorems is proving the existence of fixed points on partially ordered metric spaces [20, 23], a generalization of the Banach contraction principle for an integral-type inequality [2, 10, 21], and even some applications to matrix equations and ordinary dierential equations. In this paper, we want to illustrate some new fixed point theorems for generalized distances with tau-zero function in the partially ordered metric space rather than w-distance [23]. In short, we would like to utilize tau-zero function to provide the existence of fixed points on partially ordered metric spaces which is our goal.