Two abstract approaches in vectorial fixed point theory |
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Authors: | Tiziana Cardinali Radu Precup |
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Affiliation: | 1. Department of Mathematics and Computer Science, University of Perugia, Italy;2. Department of Mathematics, Babe?-Bolyai University, Cluj, Romania |
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Abstract: | In this paper a fixed point theory is established for operators defined on Cartesian product spaces. Two abstract approaches are presented in terms of closure operators and of general functionals called measures of deviations from zero resembling the measures of noncompactness. In particular, we give vectorial versions to Mönch’s fixed point theorems. An application is included to illustrate the theory. |
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Keywords: | 47H10 54H25 |
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