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A modified Halpern-proximal point method for approximating solutions of mixed equilibrium and fixed point problems in Hadamard spaces.
- Source :
-
Arabian Journal of Mathematics . Dec2022, Vol. 11 Issue 3, p427-441. 15p. - Publication Year :
- 2022
-
Abstract
- In this paper, we introduce and study a modified Halpern-type proximal point algorithm which comprises a finite family of resolvents of mixed equilibrium problems and a finite family of k-demimetric mappings. We prove that the algorithm converges strongly to a common solution of a finite family of mixed equilibrium problems, which is also a common fixed point of a finite family of k-demimetric mappings in a Hadamard space. Furthermore, we give a numerical example of our algorithm to show the applicability of our algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUILIBRIUM
*FINITE, The
Subjects
Details
- Language :
- English
- ISSN :
- 21935343
- Volume :
- 11
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Arabian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 159897383
- Full Text :
- https://doi.org/10.1007/s40065-022-00378-w