A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| التنسيق: | دورية |
| منشور في: |
2018
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=71049194726&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49222 |
| الوسوم: |
إضافة وسم
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| المؤسسة: | Chiang Mai University |
| الملخص: | A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for the inverse-strongly monotone mapping which solves some variational inequalities. Moreover, we apply our main result to obtain strong convergence to a common fixed point of nonexpansive mapping and strictly pseudocontractive mapping in a Hilbert space. © 2009 C. Klin-eam and S. Suantai. |
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