NONLINEAR CONDITIONS FOR COINCIDENCE POINT AND FIXED POINT THEOREMS

• Published in: Taiwanese journal of mathematics Vol. 16; no. 3; pp. 857 - 868
• Main Authors: Du, Wei-Shih, Zheng, Shao-Xuan
• Format: Journal Article
• Language: English
• Published: Mathematical Society of the Republic of China 01.06.2012
• Subjects: Coincidence; Decreasing sequences; Diagonal lemma; Existence theorems; Mathematical functions; Mathematical theorems; Topological theorems

In this paper, we first establish some new types of fixed point theorem which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi- Takahashi's fixed point theorem and many results in [W.-S. Du, Some new results and generalizations in metric fixed point theory, Nonlinear...