DOI: 10.68381/jca24078 ISSN: 0944-6532

Strong Convergence Theorems for an Infinite Family of Demimetric Mappings in a Hilbert Space

Hidetoshi Komiya, Wataru Takahashi

Using the idea of Halpern iteration, we prove a strong convergence theorem for finding a common fixed point of an infinite family of demimetric mappings in a Hilbert space. Using this result, we obtain well-known and new strong convergence theorems in a Hilbert space.