dc.contributor.author |
Aremu, K. O |
|
dc.contributor.author |
Izuchukwu, C |
|
dc.contributor.author |
Mebawondu, A. A |
|
dc.contributor.author |
Mewomo, O |
|
dc.date.accessioned |
2022-06-28T10:15:49Z |
|
dc.date.available |
2022-06-28T10:15:49Z |
|
dc.date.issued |
2020-03 |
|
dc.identifier.citation |
Aremu, Kazeem & Izuchukwu, Chinedu & Mebawondu, Akindele & Mewomo, Oluwatosin. (2020). A viscosity-type Proximal Point Algorithm for monotone Equilibrium Problem and Fixed Point Problem in an Hadamard Space. Asian-European Journal of Mathematics. 14. 10.1142/S1793557121500583. |
en_US |
dc.identifier.uri |
http://localhost:8080/xmlui/handle/123456789/289 |
|
dc.description.abstract |
In this paper, we introduce a viscosity-type proximal point algorithm comprising of a finite composition of resolvents of monotone bifunctions and a generalized asymptotically nonspreading mapping recently introduced by Phuengrattana [Appl. Gen. Topol. 18 (2017) 117–129]. We establish a strong convergence result of the proposed algorithm to a common solution of a finite family of equilibrium problems and fixed point problem for a generalized asymptotically nonspreading and nonexpansive mappings, which is also a unique solution of some variational inequality problems in an Hadamard space. We apply our result to solve convex feasibility problem and to approximate a common solution of a finite family of minimization problems in an Hadamard space. |
en_US |
dc.description.sponsorship |
K. O. Aremu, C. Izuchukwu, A. A. Mebawondu, & O. T. Mewomo |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Asian-European Journal of Mathematics |
en_US |
dc.relation.ispartofseries |
14;1 |
|
dc.subject |
Equilibrium problems; monotone bifunctions; generalized nonspreading mappings; viscosity iterations; CAT(0) space |
en_US |
dc.title |
A viscosity-type Proximal Point Algorithm for monotone Equilibrium Problem and Fixed Point Problem in an Hadamard Space |
en_US |
dc.type |
Article |
en_US |