Equilibrium problems under relaxed α-monotonicity on Hadamard manifolds

被引：2

作者：

Jana, S. ^{[1
]}

机构：

[1] Narajole Raj Coll, Dept Math, West Midnapore 721211, W Bengal, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2022年 / 71卷 / 01期

关键词：

Hadamard manifolds; Variational inequalities; Equilibrium problems; KKM mappings; PROXIMAL POINT ALGORITHM; VARIATIONAL-INEQUALITIES; VECTOR-FIELDS;

D O I：

10.1007/s12215-021-00595-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of solutions of both equilibrium problems and mixed equilibrium problems on Hadamard manifolds. Under relaxed alpha-pseudomonotonicity assumption on the underlying bifunction we prove that the solution set of the equilibrium problem is nonempty. We also provide the existence of solution of mixed equilibrium problems with relaxed alpha-monotonicity. The results presented in this paper generalize and improve some known results given in literature, see for example (Colao et al. in J Math Anal Appl 388:61-77, 2012; Jana and Nahak in Rend Circ Mat Palermo(2) 65(1):97109, 2016; Mahato and Nahak in OPSEARCH, 2013.

引用

页码：361 / 372

页数：12

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