Common coupled fixed point theorems for w *-compatible mappings without mixed monotone property

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Publication Details

Author list: Sintunavarat W., Petruşel A., Kumam P.

Publisher: Springer

Publication year: 2012

Journal: Rendiconti del Circolo Matematico di Palermo (0009-725X)

Volume number: 61

Issue number: 3

Start page: 361

End page: 383

Number of pages: 23

ISSN: 0009-725X

eISSN: 1973-4409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84869796390&doi=10.1007%2fs12215-012-0096-0&partnerID=40&md5=f62e0c893575780a9f8b35a69c7edcdb

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we show that the mixed g-monotone property in coupled coincidence point theorems can be replaced by generalized property. Hence, these results can be applied in a much wider class of problems. We also study the condition for the uniqueness of a common coupled fixed point and give some example of nonlinear contraction mappings where the existence of the common coupled fixed point cannot be obtained by the mixed monotone property, but it follows by our results. At the end of this paper, we give an open problems for further investigation. ฉ 2012 Springer-Verlag.

Keywords

(F, g)-invariant set, w *-compatible maps