About Fixed Points in CAT(0)‎ Spaces under a Combined Structure of Two Self-Mappings

Abstract EN

This paper investigates some fixed point-related questions including the sequence boundedness and convergence properties of mappings QtSx,Ty=tSx⊕1-tTy defined in CAT0 spaces, which are parameterized by a scalar t∈0,1, where S,T: X→X are nonexpansive Lipschitz-continuous mappings and X,d is a metric space which is a CAT0 space.