@article{Garodia_Radenovic_2023, title={Оn a proximal point algorithm for solving minimization problem and common fixed point problem in CAT($k$) spaces}, volume={75}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6770}, DOI={10.37863/umzh.v75i2.6770}, abstractNote={<p>UDC 517.9</p> <p>We propose a new modified proximal point algorithm in the setting of CAT(1) spaces, which can be used for solving the minimization problem and the<span class="Apple-converted-space"> </span>common fixed-point problem.<span class="Apple-converted-space"> </span>In addition, we prove several convergence results for the proposed algorithm under certain mild conditions.<span class="Apple-converted-space"> </span>Further, we provide some applications for the convex minimization problem and the fixed point problem in the CAT($k$) spaces with a bounded positive real number $k$.<span class="Apple-converted-space"> </span>In the process, several relevant results available in the existing literature are generalized and improved.</p>}, number={2}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Garodia, C. and Radenovic, S.}, year={2023}, month={Mar.}, pages={168 - 181} }