Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions | Zendy

Fahad Sameer Alshammari | Zendy; K. P. Reshma | Zendy; R. Rajagopalan | Zendy; Reny George | Zendy

Open Access

Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions

Author(s) -

Fahad Sameer Alshammari,

K. P. Reshma,

R. Rajagopalan,

Reny George

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/7915448

Subject(s) - mathematics , type (biology) , modular design , metric space , metric (unit) , space (punctuation) , fixed point , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , computer science , ecology , operations management , economics , biology , operating system

Extending the Presic type operators to modular spaces, we introduce generalised Presic type w -contractive mappings and strongly w -contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. Ulam–Hyers stability of the fixed-point equation involving Presic type operators is also discussed. Our results extend and generalise some known results in the literature. The results are supported by appropriate example and an application to Caratheodory type integral equation.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research