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Δ-CONVERGENCE THEOREMS FOR INVERSE-STRONGLY MONOTONE MAPPINGS IN CAT(0) SPACES.
- Source :
- Fixed Point Theory; 2018, Vol. 19 Issue 1, p45-56, 12p
- Publication Year :
- 2018
-
Abstract
- In this paper, we first define and study inverse-strongly monotone mappings in general metric spaces. Then, we prove the existence theorem of solutions for variational inequalities involving such mappings. Finally, we introduce an iterative process for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for inverse-strongly monotone mappings in CAT(0) metric spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- METRIC spaces
EXISTENCE theorems
NONEXPANSIVE mappings
Subjects
Details
- Language :
- English
- ISSN :
- 15835022
- Volume :
- 19
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Fixed Point Theory
- Publication Type :
- Academic Journal
- Accession number :
- 127614754
- Full Text :
- https://doi.org/10.24193/fpt-ro.2018.1.05