Coupled Fixed Point Theorems for Weak Contraction Mappings underF-Invariant Set | Zendy

Wutiphol Sintunavarat | Zendy; Yeol Je Cho | Zendy; Poom Kumam | Zendy

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Coupled Fixed Point Theorems for Weak Contraction Mappings underF-Invariant Set

Author(s) -

Wutiphol Sintunavarat,

Yeol Je Cho,

Poom Kumam

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/324874

Subject(s) - mathematics , monotone polygon , contraction (grammar) , fixed point , invariant (physics) , fixed point theorem , discrete mathematics , contraction mapping , monotonic function , mathematical analysis , medicine , geometry , mathematical physics

We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al. but can be applied to our results. The main results extend and unify the results of Cho et al. and many results of the coupled fixed point theorems

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