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Kutbi, Marwan Amin; Hussain, Nawab; Rezaei Roshan, Jamal; Parvaneh, Vahid

Coupled and tripled coincidence point results with application to Fredholm integral equations. (English) Zbl 1469.54140

Abstr. Appl. Anal. 2014, Article ID 568718, 18 p. (2014).
Summary: The aim of this paper is to define weak \(\alpha\)-\(\psi\)-\(\varphi\)-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on \(G_b\)-metric spaces using the concept of rectangular \(G\)-\(\alpha\)-admissibility. As an application, we derive new coupled and tripled coincidence point results for weak \(\psi\)-\(\varphi\)-contractive mappings in partially ordered \(G_b\)-metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.

Cited in 3 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
45B05 Fredholm integral equations
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