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Some generalizations of Caristi’s fixed point theorem with applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem
Authors:A. Amini-Harandi
Affiliation:Department of Applied Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran
Abstract:
In this paper, we first prove some generalizations of Caristi’s fixed point theorem. Then we give some applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem.
Keywords:47H10
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