On Solving Minimization Problem and Common Fixed Point Problem Over Geodesic Spaces With Curvature Bounded Above

Authors

  • Nopparat Wairojjana Applied Mathematics Program, Faculty of Science and Technology, Valaya Alongkorn Rajabhat University under the Royal Patronage (VRU), 1 Moo 20 Phaholyothin Road, Klong Neung, Klong Luang, Pathumthani, 13180
  • Phachara Saipara Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, 59/13 Fai Kaeo, Phu Phiang, Nan 55000

DOI:

https://doi.org/10.26713/cma.v11i3.1404

Keywords:

Minimization problem, Fixed point problem, Iteration process, Proximal point algorithm

Abstract

In this paper, we introduce a new modified proximal point algorithm for solving minimization problems and common fixed point problem in CAT\((1)\) spaces. We prove strong and \(\Delta\)-convergence theorems under some mild conditions. Further, an application on convex minimization and common fixed point problem over CAT\((\kappa)\) spaces with the bounded positive real number \(\kappa\) are presented.\ Our results extend and improve the corresponding recent results in the literature.

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Published

30-09-2020
CITATION

How to Cite

Wairojjana, N., & Saipara, P. (2020). On Solving Minimization Problem and Common Fixed Point Problem Over Geodesic Spaces With Curvature Bounded Above. Communications in Mathematics and Applications, 11(3), 443–460. https://doi.org/10.26713/cma.v11i3.1404

Issue

Vol. 11 No. 3 (2020)

Section

Research Article

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