TITLE:
Algorithms for Common Solutions to Generalized Mixed Equilibrium Problems and Fixed Point Problems under Nonlinear Transformations in Banach Spaces
AUTHORS:
Yanlai Song, Xinhong Chen
KEYWORDS:
Fixed Point, Demimetric Mapping, Generalized Mixed Equilibrium Problems, Banach Space
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.11,
November
5,
2019
ABSTRACT: The purpose of this paper is to present a new iterative scheme for finding a common solution of the generalized mixed equilibrium problems with an infinite family of inverse strongly monotone mappings and the fixed point problems of demimetric mappings under nonlinear transformations in Banach spaces. Applications are also included. The results in this paper are the extension and improvement of the recent results in the literature.