COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR FAINTLY COMPATIBLE MAPS

ANITA TOMAR, SHIVANGI UPADHYAY

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Abstract

The paper is aimed to generalize and improve the results of Bisht and Shahzad [Faintly compatible mappings and common fixed points, fixed point theory and applications, 2013, 2013:156]. The signicance of this paper lies in the fact that coincidence and common fixed point theorems under Ciric type contractive condition via faint compatibility and conditional reciprocal continuity is established without using continuity of even single map and containment requirement of the range space of involved maps. Illustrative examples are furnished to highlight the realized improvement of our results.

Keywords

Coincidence point, conditional reciprocal continuity, common fixed point; faintly compatible.