Minimax Theorems for Set-Valued Mappings under Cone-Convexities

Joint Authors

Lin, Yen-Cherng
Lai, Hang-Chin
Ansari, Qamrul Hasan

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-26

Country of Publication

Egypt

No. of Pages

26

Main Subjects

Mathematics

Abstract EN

The aim of this paper is to study the minimax theorems for set-valued mappings with or without linear structure.

We define several kinds of cone-convexities for set-valued mappings, give some examples of such set-valued mappings, and study the relationships among these cone-convexities.

By using our minimax theorems, we derive some existence results for saddle points of set-valued mappings.

Some examples to illustrate our results are also given.

American Psychological Association (APA)

Lin, Yen-Cherng& Ansari, Qamrul Hasan& Lai, Hang-Chin. 2012. Minimax Theorems for Set-Valued Mappings under Cone-Convexities. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-462499

Modern Language Association (MLA)

Lin, Yen-Cherng…[et al.]. Minimax Theorems for Set-Valued Mappings under Cone-Convexities. Abstract and Applied Analysis No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-462499

American Medical Association (AMA)

Lin, Yen-Cherng& Ansari, Qamrul Hasan& Lai, Hang-Chin. Minimax Theorems for Set-Valued Mappings under Cone-Convexities. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-462499

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-462499