TY - JOUR
ID - 37371
TI - A New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with Applications
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Sow, Thierno Mohadamane Mansour
AD - Gaston Berger University, Saint Louis, Senegal.
Y1 - 2020
PY - 2020
VL - 17
IS - 2
SP - 1
EP - 22
KW - Multivalued mappings
KW - Equilibrium problems
KW - Iterative methods
KW - Applications
DO - 10.22130/scma.2019.93964.499
N2 - In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space. We prove that the sequence generated by the proposed method converges strongly to a common element of the set of solutions of equilibruim problems and the set of fixed points of multivalued nonexpansive mappings which is also the minimum-norm element of the above two sets. Finally, some applications of our results to optimization problems with constraint and the split feasibility problem are given. No compactness assumption is made. The methods in the paper are novel and different from those in early and recent literature.
UR - https://scma.maragheh.ac.ir/article_37371.html
L1 - https://scma.maragheh.ac.ir/article_37371_8562efa14f6c3cc3f1a5bef0e2759b6b.pdf
ER -