Abstract and Applied Analysis

Set Contractions and KKM Mappings in Banach Spaces

Abstract

Some fixed point theorems for generalized set contraction maps and KKM type ones in Banach spaces are presented. Moreover, a new generalized set contraction is introduced. As an application, some coincidence theorems for KKM type set contractions are obtained.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 346094, 4 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393511954

Digital Object Identifier
doi:10.1155/2013/346094

Mathematical Reviews number (MathSciNet)
MR3073473

Zentralblatt MATH identifier
1292.54030

Citation

Razani, A.; Karamikabir, N. Set Contractions and KKM Mappings in Banach Spaces. Abstr. Appl. Anal. 2013 (2013), Article ID 346094, 4 pages. doi:10.1155/2013/346094. https://projecteuclid.org/euclid.aaa/1393511954

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