On a pair of fuzzy mappings in modular-like metric spaces with applications

Advances in Difference Equations

Abdullah Shoaib¹  Ravi P. Agarwal²  Tahair Rasham³  Hassen Aydi⁴  Choonkill Park⁵ 

[1] Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan;Department of Mathematics, Texas A&M University—Kingsville, 700 University Blvd, 78363-8202, Kingsville, TX, USA;Department of Mathematics, Women University of Azad Jammu and Kashmir, Bagh, Pakistan;Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, 4000, H. Sousse, Tunisia;China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan;Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga Rankuwa, South Africa;Research Institute for Natural Sciences, Hanyang University, 04763, Seoul, Korea;

关键词: Pair of fuzzy mappings;    Modular-like metric space;    Graphic contraction;    Ordered set;    Integral equation;    46S40;    54H25;    47H10;   

DOI  :  10.1186/s13662-021-03398-6

来源: Springer

【 摘 要 】

The aim of this work is to establish results in fixed point theory for a pair of fuzzy dominated mappings which forms a rational fuzzy dominated V-contraction in modular-like metric spaces. Some results via a partial order and using the graph concept are also developed. We apply our results to ensure the existence of a solution of nonlinear Volterra-type integral equations.

【 授权许可】

CC BY