Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2017 / Cilt: 7 - Sayı: 1

COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR FAINTLY COMPATIBLE MAPS

ANITA TOMAR,SHIVANGI UPADHYAY

Sayfa
25–32
DOI
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Abstract

The paper is aimed to generalize and improve the results of Bisht andShahzad [Faintly compatible mappings and common fixed points, fixed point theoryand applications, 2013, 2013:156]. The significance of this paper lies in the fact thatcoincidence and common fixed point theorems under ´Ciri´c type contractive conditionvia faint compatibility and conditional reciprocal continuity is established without usingcontinuity of even single map and containment requirement of the range space of involvedmaps. Illustrative examples are furnished to highlight the realized improvement of ourresults.