A new general system of generalized nonlinear mixed composite-type equilibria and fixed point problems with an application to minimization problems
Summary: We introduce a new general system of generalized nonlinear mixed composite-type equilibria and propose a new iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of a general system of generalized nonlinear mixed composite-type equilibria, and the set of fixed points of a countable family of strict pseudocontraction mappings. Furthermore, we prove the strong convergence theorem of the proposed iterative scheme in a real Hilbert space. As applications, we apply our results to solve a certain minimization problem related to a strongly positive bounded linear operator. Finally, we also give a numerical example which supports our results.
nonlinear mixed composite-type equilibria
strongly positive bounded linear operator
scientific article; zbMATH DE number 6134085
scientific article