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

Authors : Renu CHUGH, B E RHOADES, Madhu AGGARWA, Tamanna KADİAN

Pages : 581-594

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Publication Date : 2014-08-01

Article Type : Research Paper

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