Novel results on fixed-point methodologies for hybrid contraction mappings in M b " role="presentation" style="position: relative;"> M b M b M_{b} -metric spaces with an application

AIMS Mathematics

article

Mustafa Mudhesh¹  Hasanen A. Hammad²  Eskandar Ameer⁴  Muhammad Arshad¹  Fahd Jarad⁵ 

[1] Department of Mathematics, International Islamic University;Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University;Department of Mathematics, Faculty of Science, Sohag University;Department of Mathematics, Taiz University;Department of Mathematics, Čankaya University;Department of Mathematics, King Abdulaziz University;Department of Medical Research, China Medical University

关键词: fixed point methodology;    $ M_{b} $-metric space;    $ \eta $-cyclic $ \left(\alpha _{\ast };    \beta _{\ast }\right) $-admissible $ \digamma $-contraction multivalued mapping;   

DOI  :  10.3934/math.2023077

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

By combining the results of Wardowski's cyclic contraction operators and admissible multi-valued mappings, the motif of $ \eta $-cyclic $ \left(\alpha _{\ast }, \beta _{\ast }\right) $-admissible type $ \digamma $-contraction multivalued mappings are presented. Moreover, some novel fixed point theorems for such mappings are proved in the context of $ M_{b} $-metric spaces. Also, two examples are given to clarify and strengthen our theoretical study. Finally, the existence of a solution of a pair of ordinary differential equations is discussed as an application.

【 授权许可】

CC BY