Symmetric Submanifolds of Riemannian Symmetric Spaces and Symmetric R-spaces [chapter]

Kazumi Tsukada
Progress in Mathematics  
In this paper, we obtain a common fixed point theorem by employing the notion of g-reciprocal continuity in symmetric spaces. We demonstrate that g-reciprocal continuity ensures the existence of common fixed point under strict contractive conditions, which otherwise do not ensure the existence of fixed points.
doi:10.1007/0-8176-4424-5_17 fatcat:kuohu5aoe5gtlhkbewt5zqqc34