HYBRID MAPPINGS ON MODULAR VECTOR SPACES AND FIXED POINTS

被引：0

作者：

Latif, Abdul ^{[1
]}

Postolache, Mihai ^{[2
,3
,4
]}

Alansari, Monairah Omar ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] North Minzu Univ, Hlth Big Data Res Inst, 750021, Bucharest 050711, Romania

[3] Romanian Acad, Gheorghe Mihoc Caius Iacob Inst Math Stat & Appl M, Bucharest 050711, Romania

[4] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 05期

关键词：

Modular vector space; iterative process; hybrid mapping; PSEUDOMONOTONE VARIATIONAL-INEQUALITIES; ITERATION SCHEME; NONLINEAR MAPPINGS; CONVERGENCE; ALGORITHM; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new class of nonlinear mappings on modular vector spaces, called ?-hybrid and thought as the modular version of the hybrid mappings established by Takahashi in [J. Nonlinear Convex Anal., 2010, 11, 79-88]. We provide some examples which clarify the relationship to other notable classes of nonlinear operators and establish some useful properties of these mappings. Also, we give sufficient conditions for the existence of fixed points for the new class of mappings. In this respect, we use a recent iterative process fitted to the new context; please, see Thakur et al. [Filomat, 2016, 30(10), 2711-2720]. Lastly, we provide sufficient conditions for the resulting iterative sequence to converge to a fixed point of ?-hybrid mappings.

引用

页码：955 / 966

页数：12

共 37 条

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