Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/1029-242X-2013-590
Keywords
generalized extended nonlinear variational inequality; fixed point problem; relaxed monotone operator; relaxed cocoercive mapping; nonexpansive mapping
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Funding
- University Grants Commission of India [41-1390/2012]
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In this paper, we consider a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point problem. We study criteria for existence of their solutions. Iterative methods for finding approximate solutions are also proposed and analyzed.
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