A Common Fixed Point Theorem with Applications

R. P. Agarwal (), M. Balaj and D. O’Regan
Additional contact information
R. P. Agarwal: Texas A&M University—Kingsville
M. Balaj: University of Oradea
D. O’Regan: National University of Ireland

Journal of Optimization Theory and Applications, 2014, vol. 163, issue 2, No 7, 482-490

Abstract: Abstract In this paper, we establish a common fixed point theorem for a family of self set-valued mappings on a compact and convex set in a locally convex topological vector space. As applications, we obtain an existence theorem of solutions for a variational inequality of Stampacchia type and some Ky Fan-type minimax inequalities.

Keywords: Common fixed point; Stampacchia variational inequality; Minimax inequality (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-013-0490-6

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