A critical remark on “Fixed point theorems for occasionally weakly compatible mappings” | Zendy

Ravindra K. Bisht | Zendy; R. P. Pant | Zendy

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A critical remark on “Fixed point theorems for occasionally weakly compatible mappings”

Author(s) -

Ravindra K. Bisht,

R. P. Pant

Publication year - 2013

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2013.03.010

Subject(s) - mathematics , fixed point , fixed point theorem , compatibility (geochemistry) , coincidence point , discrete mathematics , pure mathematics , mathematical analysis , geochemistry , geology

In the present paper, we show that under contractive conditions, the existence of a common fixed point and occasional weak compatibility are equivalent conditions. We also show that contractive conditions employed by Jungck and Rhoades [Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7(2) (2006) 287–296; Fixed Point Theory 9 (2008) 383–384 (erratum)] do not provide a nontrivial setting for the application of occasional weak compatible mappings. Finally, we improve the results of Jungck and Rhoades by employing a proper setting

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