Inertial approximation method for split variational inclusion problem in Banach spaces

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Oyewole Olawale K.; Izuchukwu Chinedu; Okeke Chibueze C.; Mewomo Oluwatosin T.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2020 | Volume:11 | Issue:2 Page(s): 285-304

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Title

Inertial approximation method for split variational inclusion problem in Banach spaces

Author(s)

Oyewole Olawale K. | Izuchukwu Chinedu | Okeke Chibueze C. | Mewomo Oluwatosin T. | Issue Writer Certificate

Keywords

Inertial

Accretive operator

variational inclusion problem

weak convergence

Banach space

fixed point

minimization problem.

Abstract

In this paper, we introduce a new iterative algorithm of Inertial form for approximating the solution of Split variational inclusion problem (SVIP) involving accrective operators in Banach space. Mo-tivated by the Inertial technique, we incorporate the Inertial term to accelerate the convergence of the proposed method. Under standard and mild assumption of monotonicity of the SVIP associated mappings, we establish the weak convergence of the sequence generated by our algorithm. Some applications and numerical example are presented to illustrate the performance of our method as well as comparing it with the non-Inertial version.

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APA: Copy

Oyewole, Olawale K., Izuchukwu, Chinedu, Okeke, Chibueze C., & Mewomo, Oluwatosin T.. (2020). Inertial approximation method for split variational inclusion problem in Banach spaces. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 11(2), 285-304. SID. https://sid.ir/paper/340860/en

Vancouver: Copy

Oyewole Olawale K., Izuchukwu Chinedu, Okeke Chibueze C., Mewomo Oluwatosin T.. Inertial approximation method for split variational inclusion problem in Banach spaces. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2020;11(2):285-304. Available from: https://sid.ir/paper/340860/en

IEEE: Copy

Olawale K. Oyewole, Chinedu Izuchukwu, Chibueze C. Okeke, and Oluwatosin T. Mewomo, “Inertial approximation method for split variational inclusion problem in Banach spaces,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 11, no. 2, pp. 285–304, 2020, [Online]. Available: https://sid.ir/paper/340860/en

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