New fixed point theorems for θ-φ contraction in complete metric spaces

作者：Zheng, Dingwei; Cai, Zhangyong; Wang, Pei^*

来源：Journal of Nonlinear Sciences and Applications, 2017, 10(5): 2662-2670.

DOI：10.22436/jnsa.010.05.32

• Fixed point
• complete metric space
• theta-phi contraction

In this paper, we introduce the notions of theta-phi contraction and theta-phi Suzuki contraction and establish some new fixed point theorems for these mappings in the setting of complete metric spaces. The results presented in the paper improve and extend the corresponding results due to Banach, Browder [F. E. Browder, Nederl. Akad. Wetensch. Proc. Ser. A Indag. Math., 30 (1968), 27-35], Suzuiki [T. Suzuki, Nonlinear Anal., 71 (2009), 5313-5317], Kannan [R. Kannan, Amer. Math. Monthly, 76 (1969), 405-408], Jleli and Samet [M. Jleli, B. Samet, J. Inequal. Appl., 2014 (2014), 8 pages]. Finally, we give an example to illustrate them.

• 出版日期2017
• 单位广西大学; 南宁师范大学; 玉林师范学院