A new general iterative scheme for split variational inclusion and fixed point problems of k-strict pseudo-contraction mappings with convergence analysis

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:318

Article

Deepho, Jitsupa¹  Thounthong, Phatiphat^2,3  Kumam, Poom^4,5,6  Phiangsungnoen, Supak⁷ 

[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Energy & Environm, Rayong Campus KMUTNB 19 Moo 11, Amphur Bankhai 21120, Rayong, Thailand

[2] KMUTNB, Renewable Energy Res Ctr, Bangkok 10800, Thailand

[3] KMUTNB, Fac Tech Educ, Dept Teacher Training Elect Engn, Bangkok 10800, Thailand

[4] KMUTT, KMUTTFixed Point Res Lab, Dept Math, Fixed Point Lab,Sci Lab Bldg,Fac Sci, Room SCL 802,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[5] KMUTT, KMUTT Fixed Point Theory & Applicat Res Grp KMUTT, Theoret & Computat Sci Ctr TaCS, Sci Lab Bldg,Theoret Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[7] Rajamangala Univ Technol Rattanakosin RMUTR, Fac Liberal Arts, Dept Math, 264 Chakkrawat Rd, Bangkok 10100, Thailand

关键词: Fixed point;    Split variational inclusion problem;    Viscosity approximation method;    k-strict pseudo-contractions;    Hilbert space;    Strong convergence;   

DOI  :  10.1016/j.cam.2016.09.009

来源: Elsevier

【 摘 要 】

In this paper, we modify the general iterative method to approximate a common element of the set of solutions of split variational inclusion problem and the set of common fixed points of a finite family of k-strictly pseudo-contractive nonself mappings. Strong convergence theorem is established under some suitable conditions in a real Hilbert space, which also solves some variational inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors. Finally, some examples to study the rate of convergence and some illustrative numerical examples are presented. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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