Properties Q and R for nonlinear contractions in g-metric spaces

Year 2014, Volume: 43 Issue: 4, 581 - 594, 01.08.2014

Renu Chugh B. E. Rhoades Madhu Aggarwa Tamanna Kadian

Abstract

We prove a general common fixed point theorem for three operators in
G-metric spaces satisfying a nonlinear contraction. Also we prove the
uniqueness of the fixed point, as well as studying the G-continuity of
the fixed point. Moreover, we show that these maps satisfy properties Q
and R. Our results extend some recent works. An illustrative example
is also discussed.

Keywords

G-metric space, Common fixed point, Nonlinear contraction, G-continuity, Property Q, Property R

References

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