Monotonicity of NFP mappings associated with variational

Authors:
Hemant Kumar Pathak
Affiliations:
Pt. Ravishankar Shukla University, School of Studies in Mathematics, Raipur, India
Venue:
AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
Year:
2012

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Abstract

In this paper, we prove sufficient conditions for the monotonocity of NFP mappings associated with variational inequality problems over a general closed convex set. Sufficient conditions for the strong monotonocity of its perturbed version is also shown. These results include some well known results in the literature. Inspired by these results, we propose an appreciable iterative algorithm for the variational inequality problem whose normal fixed point map is monotone.