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AuthorNeog, Murchana
AuthorJaradat, Mohammed M. M.
AuthorDebnath, Pradip
Available date2020-05-14T09:55:43Z
Publication Date2019
Publication NameSymmetry
ISSN20738994
URIhttp://dx.doi.org/10.3390/sym11070894
URIhttp://hdl.handle.net/10576/14818
AbstractThe solutions for many real life problems may be obtained by interpreting the given problem mathematically in the form f(x)=x . One such example is that of the famous Borsuk–Ulam theorem in which, using some fixed point argument, it can be guaranteed that at any given time we can find two diametrically opposite places in a planet with same temperature. Thus, the correlation of symmetry is inherent in the study of fixed point theory. In this article, some new results concerning coincidence and a common fixed point for an Aφ -contraction and a generalized ϕ -type weak contraction are established. We prove our results for set valued maps without using continuity of the corresponding maps and completeness of the relevant space. Our results generalize and extend several existing results. Some new examples are given to demonstrate the generality and non-triviality of our results
Languageen
PublisherMDPI AG
SubjectAφ-contraction
SubjectCommon fixed point
SubjectCommon property (EA)
SubjectGeneralized ϕ-type weak contraction
TitleCommon Fixed Point Results of Set Valued Maps for Aφ-Contraction and Generalized ϕ-Type Weak Contraction
TypeArticle
Issue Number7
Volume Number11


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