C ´ " role="presentation"> C ´ C ´ \acute{C} iri c ´ " role="presentation"> c ´ c ´ \acute{c} -Reich-Rus type weakly contractive mappings and related fixed point results in modular-like spaces with application

AIMS Mathematics

article

Fatemeh Lael¹  Naeem Saleem²  Işık Hüseyin³  Manuel de la Sen⁴ 

[1] Department of Mathematics, Buein Zahra Technical University;Department of Mathematics, University of Management and Technology;Department of Engineering Science, Bandırma Onyedi Eylül University;Institute of Research and Development of Processes, Campus of Leioa ,(Bizkaia), University of the Basque Country

关键词: modular space;    fixed point;    point of coincidence;    integral equation;   

DOI  :  10.3934/math.2022898

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this article, we define a new space named the modular-like space with its related concepts to prove the existence of a fixed point and a point of coincidence for mappings on this space. Also, we defined $ \acute{C} $iri$ \acute{c} $-Reich-Rus type weakly contractive mappings on modular-like spaces and discussed some conditions that guarantee the existence of the fixed points for these kind of mappings. Some examples are also provided to elaborate the usability of our main results. It is worth mentioning that a modular-like space is a generalization of a modular space, thus our theorems are more general and applicable than the fixed point theorems on modular spaces.

【 授权许可】

CC BY