TY - JOUR
T1 - OPERATOR NORM INDEPENDENT SOLUTION OF SPLIT EQUALITY EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM FOR CERTAIN MULTIVALUED MAPS
AU - Jolaoso, Lateef Olakunle
AU - Ogbuisi, Ferdinard Udochukwu
AU - Mewomo, Oluwatosin Temitope
N1 - Publisher Copyright:
© 2020 Watam Press.
PY - 2020
Y1 - 2020
N2 - In this paper, we introduce a new multivalued k-strictly pseudononpsreading mapping T with type-one condition and prove that the set of fixed points of T is closed and convex. We also proved that I − T is demiclosed at zero without the condition that the set of fixed point of T is strict. Using this new mapping, we study the strong convergence of a new iterative algorithm for approximating a common element of the set of solutions of a system of split equality generalized mixed equilibrium problems and fixed point problem of k-strictly pseudononspreading multivalued type-one mappings without a prior knowledge of the operator norm in real Hilbert space. Furthermore, we give a numerical example of our main theorem in real Hilbert spaces. Our result improves and complements some recent corresponding results in the literature.
AB - In this paper, we introduce a new multivalued k-strictly pseudononpsreading mapping T with type-one condition and prove that the set of fixed points of T is closed and convex. We also proved that I − T is demiclosed at zero without the condition that the set of fixed point of T is strict. Using this new mapping, we study the strong convergence of a new iterative algorithm for approximating a common element of the set of solutions of a system of split equality generalized mixed equilibrium problems and fixed point problem of k-strictly pseudononspreading multivalued type-one mappings without a prior knowledge of the operator norm in real Hilbert space. Furthermore, we give a numerical example of our main theorem in real Hilbert spaces. Our result improves and complements some recent corresponding results in the literature.
KW - Finite family
KW - fixed point problems
KW - generalized equilibrium
KW - k-strictly pseudononspreading
KW - multivalued mappings
KW - split equality
UR - http://www.scopus.com/inward/record.url?scp=85131047165&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85131047165
SN - 1492-8760
VL - 27
SP - 195
EP - 221
JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
IS - 4
ER -