An iterative approach for addressing monotone inclusion and fixed point problems with generalized demimetric mappings

Abstract

Throughout this study, we present a new algorithm for finding the common solution of a finite family of monotone inclusion and the fixed point problem of a finite family of generalized demimetric operators in the context of a real Hilbert space and show its strong convergence. Moreover, we utilize our result to solve the minimization problem.

Keywords

• Monotone inclusion problem
• Fixed point problem
• Strong convergence
• Generalized demimetric mapping