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Δ-CONVERGENCE THEOREMS FOR INVERSE-STRONGLY MONOTONE MAPPINGS IN CAT(0) SPACES.

Authors :
ALIZADEH, SATTAR
DEHGHAN, HOSSEIN
MORADLOU, FRIDOUN
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]

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