TY - JOUR
T1 - A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES
AU - Karahan, İbrahim
AU - Jolaoso, Lateef Olakunle
N1 - Publisher Copyright:
© 2020 Yildiz Technical University.
PY - 2020
Y1 - 2020
N2 - In this paper, we prove some fixed point properties and demiclosedness principle for multivalued generalized α-nonexpansive mappings in uniformly convex hyperbolic spaces. We also proposed a three steps iterative scheme for approximating the common fixed points of generalized α-nonexpansive mapping and prove some strong and Δ-convergence theorems for such operator in the setting of uniformly convex hyperbolic space. We provide a numerical example to show that the three steps scheme proposed in this paper performs better than the modified SP-iterative scheme. The results obtained in this paper extend and generalized the corresponding results in uniformly convex Banach spaces, CAT(0) space and many other results in this direction.
AB - In this paper, we prove some fixed point properties and demiclosedness principle for multivalued generalized α-nonexpansive mappings in uniformly convex hyperbolic spaces. We also proposed a three steps iterative scheme for approximating the common fixed points of generalized α-nonexpansive mapping and prove some strong and Δ-convergence theorems for such operator in the setting of uniformly convex hyperbolic space. We provide a numerical example to show that the three steps scheme proposed in this paper performs better than the modified SP-iterative scheme. The results obtained in this paper extend and generalized the corresponding results in uniformly convex Banach spaces, CAT(0) space and many other results in this direction.
KW - Generalized nonexpansive
KW - fixed point theorems
KW - hyperbolic spaces
KW - multivalued mappings
KW - three steps iteration
UR - http://www.scopus.com/inward/record.url?scp=85128909366&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85128909366
SN - 1304-7191
VL - 38
SP - 1031
EP - 1050
JO - Sigma Journal of Engineering and Natural Sciences
JF - Sigma Journal of Engineering and Natural Sciences
IS - 2
ER -