On multivalued L-contractions and an application

Advances in Difference Equations

Abdallah Hyder¹  Aiman Mukheimer²  Ahmed A. Soliman³  M. A. Barakat⁴  Hassen Aydi⁵ 

[1] College of Science, Department of Mathematics, King Khalid University, P.O. Box 9004, 61413, Abha, Saudi Arabia;Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo, Egypt;Department of Mathematics and General Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia;Department of Mathematics, Faculty of Sciences, Al-Azhar University, 71524, Assiut, Egypt;College of Science, Department of Mathematics, King Khalid University, P.O. Box 9004, 61413, Abha, Saudi Arabia;Department of Mathematics, Faculty of Sciences, Al-Azhar University, 71524, Assiut, Egypt;Department of Mathematics, College of Al Wajh, University of Tabuk, Tabuk, Saudi Arabia;Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam;Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam;Department of Medical Research, China Medical University Hospital, China Medical University, Hsueh-Shih Road, 40402, Taichung, Taiwan;

关键词: Fixed point;    Metric space;    Multivalued mappings;    L-contraction;    θ;    46T99;    54E50;    54H10;   

DOI  :  10.1186/s13662-020-03010-3

来源: Springer

【 摘 要 】

The aim of this paper is to present several fixed-point results for L-contractive multivalued mappings involving θ-functions in the class of metric spaces. We also give some examples in support of the related concepts and presented results. A homotopy result is also provided.

【 授权许可】

CC BY