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http://localhost:8080/xmlui/handle/123456789/295| Title: | ON FINITE FAMILY OF MONOTONE VARIATIONAL INCLUSION PROBLEMS IN REFLEXIVE BANACH SPACE |
| Authors: | Izuchukwu, C Ogwo, G. N Mebawondu, A. A Mewomo, O. T |
| Keywords: | Monotone variational inclusion problem, maximal monotone mappings, Bregman inverse strongly monotone mappings, resolvent operators, anti-resolvent operators, Bregman firmly nonexpansive mapping. |
| Issue Date: | 2020 |
| Publisher: | U.P.B. Sci. Bull |
| Citation: | Izuchukwu, C., Ogwo, G. N., Mebawondu, A. A. & Mewomo, O.T. (2020). ON FINITE FAMILY OF MONOTONE VARIATIONAL INCLUSION PROBLEMS IN REFLEXIVE BANACH SPACE. U.P.B. Sci. Bull., Series A, Vol. 82, Iss. 3, 2020 |
| Series/Report no.: | 82;3 |
| Abstract: | The main purpose of this paper is to study monotone variational inclusion problems in a reflexive real Banach space. We propose a Halpern-type algorithm and prove that the sequence generated by it converges strongly to a common solution of a finite family of monotone vairiational inclusion problems in a reflexive real Banach space. We then apply our results to solve a finite family of variational inequality problems and convex feasibility problem. |
| URI: | http://localhost:8080/xmlui/handle/123456789/295 |
| Appears in Collections: | Mathematics |
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