Coupled fixed point theorems for contractive mappings involving new function classes and applications | Zendy

Arslan Hojat Ansari | Zendy; Hüseyin Işık | Zendy; Stojan Radenović | Zendy

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Coupled fixed point theorems for contractive mappings involving new function classes and applications

Author(s) -

Arslan Hojat Ansari,

Hüseyin Işık,

Stojan Radenović

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707893a

Subject(s) - mathematics , fixed point theorem , metric space , coincidence point , fixed point , nonlinear system , type (biology) , discrete mathematics , set (abstract data type) , pure mathematics , mathematical analysis , computer science , physics , quantum mechanics , ecology , biology , programming language

The aim of this paper is to extend the results of Bhaskar and Lakshmikantham and some other authors and to prove some new coupled fixed point theorems for contractive mappings involving new function classes in complete metric space endowed with a partial order. Our theorems can be used to investigate a large class of nonlinear problems. As an application, we discuss the existence and uniqueness for a solution of a nonlinear integral equation.

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