کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840915 | 908495 | 2011 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Ekeland’s variational principle for vectorial multivalued mappings in a uniform space Ekeland’s variational principle for vectorial multivalued mappings in a uniform space](/preview/png/840915.png)
In this paper, we establish Ekeland’s variational principle and an equilibrium version of Ekeland’s variational principle for vectorial multivalued mappings in the setting of separated, sequentially complete uniform spaces. Our approaches and results are different from those in Chen et al. (2008), Hamel (2005), and Lin and Chuang (2010) [13], [14] and [15]. As applications of our results, we study vectorial Caristi’s fixed point theorems and Takahashi’s nonconvex minimization theorems for multivalued mappings and their equivalent forms in a separated, sequentially complete uniform space. We also apply our results to study maximal element theorems, which are unified methods of several variational inclusion problems. Our results contain many known results in the literature Fang (1996) [21], and will have many applications in nonlinear analysis.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 15, October 2011, Pages 5057–5068