Common Fixed Point Theorems and Attractive Point Theorems with the Split Equilibrium Problem in Banach Spaces

• Main Author: Nutchari Niyamosot
• Other Authors: Asst. Prof. Dr. Warunun Inthakon
• Format: Theses and Dissertations
• Language: English
• Published: เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ 2020
• Online Access: http://cmuir.cmu.ac.th/jspui/handle/6653943832/69678
• Institution: Chiang Mai University

This main results of this dissertation is divided into two parts. In the rst part, we introduce and study some algorithms for nding a common element of the solution set of the split equilibrium problem and a common xed points set of nonlinear mappings in Banach spaces. For the second part, we prove a basic property of the set of attractive points in Banach spaces. Moreover, we introduce and study some algorithms for nding a common element of the solution set of the split equilibrium problem and a set of attractive point of nonlinear mappings in Banach spaces.