On Controlled Rectangular Metric Spaces and an Application | Zendy

Nayab Alamgir | Zendy; Quanita Kiran | Zendy; Hassen Aydi | Zendy; Yaé Ulrich Gaba | Zendy

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On Controlled Rectangular Metric Spaces and an Application

Author(s) -

Nayab Alamgir,

Quanita Kiran,

Hassen Aydi,

Yaé Ulrich Gaba

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/5564324

Subject(s) - metric space , generalization , mathematics , metric (unit) , convex metric space , point (geometry) , uniform continuity , pure mathematics , metric map , intrinsic metric , injective metric space , discrete mathematics , algebra over a field , mathematical analysis , geometry , operations management , economics

In this paper, we introduce the notion of controlled rectangular metric spaces as a generalization of rectangular metric spaces and rectangular - metric spaces. Further, we establish some related fixed point results. Our main results extend many existing ones in the literature. The obtained results are also illustrated with the help of an example. In the last section, we apply our results to a common real-life problem in a general form by getting a solution for the Fredholm integral equation in the setting of controlled rectangular metric spaces.

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