Approximating a Solution of the Inclusion Problem for an Infinite Family of Monotone Operators in Hadamard Spaces and Its Applications

Abstract

In this paper, a solution to the inclusion problem for an infinite family of monotone operators in Hadamard spaces is approximated. Strong convergence and Δ-convergence to a common zero of an infinite family of monotone operators are established. To support these results, some applications in convex optimization and fixed point theory are also presented.

Keywords:

• Proximal point algorithm
• inclusion problem
• monotone operator
• Hadamard space
• convex optimization
• fixed point theory

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 47H09
• 47H10
• 47H05
• 47J05

Acknowledgements

The author is grateful to the referees for their valuable comments and suggestions.