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 -