MINIMAL ELEMENT THEOREMS AND EKELAND'S VARIATIONAL PRINCIPLE WITH NEW SET ORDER RELATIONS

Qamrul Hasan Ansari; PK Sharma; JC Yao

MINIMAL ELEMENT THEOREMS AND EKELAND'S VARIATIONAL PRINCIPLE WITH NEW SET ORDER RELATIONS

Qamrul Hasan Ansari
, PK Sharma
, JC Yao

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski difference. We also give some characterizations of set order relations in terms of oriented distance function.

Original language	English
Journal	Journal of Nonlinear and Convex Analysis
State	Published - 2018

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title = "MINIMAL ELEMENT THEOREMS AND EKELAND'S VARIATIONAL PRINCIPLE WITH NEW SET ORDER RELATIONS",

abstract = "By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski difference. We also give some characterizations of set order relations in terms of oriented distance function.",

author = "Ansari, \{Qamrul Hasan\} and PK Sharma and JC Yao",

year = "2018",

language = "English",

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TY - JOUR

T1 - MINIMAL ELEMENT THEOREMS AND EKELAND'S VARIATIONAL PRINCIPLE WITH NEW SET ORDER RELATIONS

AU - Ansari, Qamrul Hasan

AU - Sharma, PK

AU - Yao, JC

PY - 2018

Y1 - 2018

N2 - By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski difference. We also give some characterizations of set order relations in terms of oriented distance function.

AB - By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski difference. We also give some characterizations of set order relations in terms of oriented distance function.

M3 - Article

SN - 1345-4773

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

ER -

MINIMAL ELEMENT THEOREMS AND EKELAND'S VARIATIONAL PRINCIPLE WITH NEW SET ORDER RELATIONS

Abstract

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