ISSN:
1432-5217
Keywords:
Key words: Half distance
;
vector variational principle
;
fixed point of set-valued mappings
;
directional contraction
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Economics
Notes:
Abstract. In [1], we gave a unified variational principle for vector valued functions. In this paper, we give four equivalents of a corollary of this principle, generalizing the equivalence results of [3] to the vector case and improving the equivalence results of [5]. We also applied one of the equivalents to derive the vector form of the “Drop Theorem” ([3]). Applying the unified variational principle, we obtained a fixed point theorem for directional contractions as an application of our vector variational principle, generalizing a fixed point theorem for directional contractions in [9].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s001860050017
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