@article{Izuchukwu_Ogwo_Mewomo_2024, title={On Halpern’s Proximal Point Algorithm in p-Uniformly Convex Metric Spaces}, volume={22}, url={https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1649}, abstractNote={<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>}, number={2}, journal={Thai Journal of Mathematics}, author={Izuchukwu, Chinedu and Ogwo, Grace Nnennaya and Mewomo, Oluwatosin Temitope}, year={2024}, month={Jun.}, pages={335–361} }