Remarks on G-metric spaces and related fixed point theorems

Wasfi Shatanawi, Anwar Bataihah

Abstract


In this paper we use the notion of (A,B)-weakly increasing mappings in the sense of W. Shatanawi,and M. Postolache [W. Shatanawi, M. Postolache, common fixed point results for mappings undernonlinear contraction of cyclic form in ordered metric spaces,fixed point theory and applications.2013, 2013:60] to introduce some new common fixed point results in complete G-metric spaces whichcan not be deduced from fixed point theorems in the setting of standard metric spaces.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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