Fixed point theorems for interpolative Kanann contraction mappings in Busemann space with an application to matrix equation

被引:0
作者
Lucas Wangwe
机构
[1] Mbeya University of Sciences and Technology,Department of Mathematics, College of Natural and Applied Sciences
来源
The Journal of Analysis | 2023年 / 31卷
关键词
Fixed point theorems; Interpolation contraction; Busemann space; Non-linear matrix equation; 47H10; 54H25;
D O I
暂无
中图分类号
学科分类号
摘要
This paper aims to prove fixed point results for interpolative contraction mappings in Busemann spaces. We also provide the constructive and vivid example to support our results. The results proved here will be modified by the existence of the solution of a nonlinear matrix equation as an application.
引用
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页码:1123 / 1142
页数:19
相关论文
共 114 条
  • [1] Alansari M(2021)On interpolative Advances in Difference Equations 2021 1-13
  • [2] Ali MU(2021)-contractions with shrink map Earthline Journal of Mathematica Sciences 5 411-414
  • [3] Ampadu CB(2019)Wardowski type characterization of the interpolative Berinde weak fixed point theorem An Universitatii” Ovidius” Constanta-Seria Matematica 2019 57-181
  • [4] Aydi H(2018)-interpolative Ćirić-Reich-Rus-type contractions Mathematics 7 84-10
  • [5] Karapinar E(1922)Interpolative Ćirić–Reich–Rus type contractions via the Branciari distance Fund. Math. 3 133-184
  • [6] Roldán López de Hierro AF(2011)Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales Fixed Point Theory and Applications 2011 1-273
  • [7] Aydi H(1943)Solving systems of non-linear matrix equations involving Lipschitz mappings Transactions of the American Mathematical Society 54 171-1458
  • [8] Chen CM(1974)On spaces in which two points determine a geodesic Proceedings of the American Mathematical society 45 267-2906
  • [9] Karapınar E(2020)generalization of Banach’s contraction principle Indian Journal of Pure and Applied Mathematics 6 1455-1742
  • [10] Banach S(2011)An extension of Banach contraction principle through rational expression Transactions of the American Mathematical Society 363 2891-18