TY - JOUR
AU - Izuchukwu, Chinedu
AU - Ogwo, Grace Nnennaya
AU - Mewomo, Oluwatosin Temitope
PY - 2024/06/30
Y2 - 2024/11/07
TI - On Halpern's Proximal Point Algorithm in p-Uniformly Convex Metric Spaces
JF - Thai Journal of Mathematics
JA - Thai J Math
VL - 22
IS - 2
SE - Articles
DO -
UR - https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1649
SP - 335–361
AB - <p>The main purpose of this paper is to introduce a Halpern-type proximal point algorithm, comprising a nonexpansive mapping and a finite composition of p-resolvent mappings associated with proper convex and lower semicontinuous functions. A strong convergence of the proposed algorithm to a common solution of a finite family of minimization problems and fixed point problems for a nonexpansive mapping is established in a complete p-uniformly convex metric space. Also, numerical examples of the proposed algorithm in nonlinear settings are given to illustrate the applicability of the obtained results.</p>
ER -