Gradient Projection Method for Quasiconvex Equilibrium Problems

被引：0

作者：

Ansari, Qamrul Hasan ^{[1
]}

Raju, Muzaffar Sarkar ^{[2
]}

Babu, Feeroz ^{[3
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, India

[2] Chonging Univ Technol, Coll Sci, Chongqing 400054, Peoples R China

[3] VIT Bhopal Univ, Sch Adv Sci & Languages, Math Div, Bhopal Indore Highway, Sehore 466114, Madhya Pradesh, India

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2025年 / 41卷 / 01期

关键词：

Equilibrium problems; Projection gradient method; Quasiconvexity; Pseudomonotonicity; CONVERGENCE; EXISTENCE;

D O I：

10.37193/CJM.2025.01.01

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a gradient projection method to solve the equilibrium problems where the bifunction is quasiconvex in its second argument. We use the Greenberg-Pierskalla quasi-subdifferential of quasiconvex functions. We prove the convergence of the sequence generated by the proposed algorithm under some mild assumptions. Some examples and their numerical evolutions are illustrated where previous methods are not applicable.

引用

页码：1 / 12

页数：12

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