On solving the minimization problem and the fixed-point problem for a finite family of non-expansive mappings in CAT(0) spaces

Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces

“…Furthermore, the results obtained here also hold in all complete CAT(k < 0), Hadamard manifolds, Hilbert spaces, and so on. Our results generalized some recent results, for instance, result of [11] follows from Corollary 3.12, and result of [29] follows from Theorem 4.3, and so on.…”

“…Furthermore, some combined problems involving MP can be obtained from our result. For example, the main result in [29] can be obtained using scheme (18) as follows: Theorem 4.3 Let g : D → R ∪ {+∞} be a convex, proper, and lower semi-continuous function, and let T i : D → D, i = 1, . .…”

“…In 2014, Chidume et al proved strong and -convergence theorems using the Krasnoselskii-type scheme to approximate a finite family of demicontractive maps in CAT(0) spaces. For recent development concerning fixed point theory in a geodesic/CAT(0) space, the reader is referred to [29][30][31][32][33] and the references therein.…”