Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces

Shih-sen Chang; Yeol Je Cho; Jong Kyu Kim

doi:10.1007/bf02093505

Periodica Mathematica Hungarica

Volume/Issue:: Volume 33: Issue 2

Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces

Authors:

Shih-sen Chang

Shih-sen Chang Department of Mathematics Sichuan University 610064 Chengdu, Sichuan People's Republic of China

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Yeol Je Cho

Yeol Je Cho Department of Mathematics Gyeongsang National University 660-701 Chinju Korea

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Jong Kyu Kim

Jong Kyu Kim Department of Mathematics Kyungnam University 630-701 Masan Korea

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Pages:: 83–92

Online Publication Date:: 17 Aug 2005

Publication Date:: 01 Oct 1996

Article Category:: Research Article

DOI:: https://doi.org/10.1007/bf02093505

Keywords:: Primary 47H10; 34H25; a Menger PM-space; Caristi's coincidence theorem; Ekeland's variational principle

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By using the partial ordering method, a more general type of Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces are given in this paper. In addition, we give also a directly simple proof of the equivalence between theses theorems in probabilistic metric spaces.

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Periodica Mathematica Hungarica

Print ISSN:: 0031-5303

Online ISSN:: 1588-2829

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Periodica Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1971
Volumes per Year	2
Issues per Year	4
Founder	Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's Address	H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0031-5303 (Print)
ISSN	1588-2829 (Online)