Some fixed point results for (α,β)-(ψ,Φ)-contractive mappings | Zendy

Sattar Alizadeh | Zendy; Fridoun Moradlou | Zendy; Peyman Salimi | Zendy

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Some fixed point results for (α,β)-(ψ,Φ)-contractive mappings

Author(s) -

Sattar Alizadeh,

Fridoun Moradlou,

Peyman Salimi

Publication year - 2014

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/fil1403635a

Subject(s) - mathematics , metric space , fixed point , usability , contraction (grammar) , coincidence point , pure mathematics , discrete mathematics , mathematical analysis , computer science , medicine , human–computer interaction

In this paper, we introduce the notions of cyclic (α,β)-admissible mappings, (α,β)-(ψ,Φ)-contractive and weak α - β - ψ - rational contraction mappings via cyclic (α,β)-admissible mappings. We prove some new fixed point results for such mappings in the setting of complete metric spaces. The obtained results generalize, unify and modify some recent theorems in the literature. Some examples and an application to integral equations are given here to illustrate the usability of the obtained results.

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