Solving a nonlinear integral equation via orthogonal metric space

被引：13
|
作者：
Gnanaprakasam, Arul Joseph [1 ]
Mani, Gunaseelan [2 ]
Lee, Jung Rye [3 ]
Park, Choonkil [4 ]
机构：
[1] SRM Inst Sci Technol, Coll Engn & Technol, Dept Math, Chennai 603203, Tamil Nadu, India
[2] Univ Madras, Dept Math, Sri Sankara Arts & Sci Coll Autonomous, Kanchipuram 631561, Tamil Nadu, India
[3] Daejin Univ, Dept Data Sci, Kyunngi 11159, South Korea
[4] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 01期
关键词：
orthogonal set; orthogonal complete metric space; orthogonal continuous; orthogonal preserving; orthogonally triangular alpha-admissible; fixed point;
D O I：
10.3934/math.2022070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose the concept of orthogonally triangular alpha-admissible mapping and demonstrate some fixed point theorems for self-mappings in orthogonal complete metric spaces. Some of the well-known outcomes in the literature are generalized and expanded by our results. An instance to help our outcome is presented. We also explore applications of our key results.
引用
收藏
页码：1198 / 1210
页数：13
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