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A fixed point theorem inG-metric spaces viaα-series

Vizender SihagRamesh Kumar VatsCalogero Vetro

subject

Discrete mathematicsLeast fixed pointMetric spaceMathematics (miscellaneous)Fréchet spaceFixed-point theoremFixed-point propertyBrouwer fixed-point theoremKakutani fixed-point theoremCoincidence pointMathematics

description

In the context of G -metric spaces we prove a common fixed point theorem for a sequence of self mappings using a new concept of α-series. Keywords: α-series, common fixed point, G -metric space Quaestiones Mathematicae 37(2014), 429-434

https://doi.org/10.2989/16073606.2013.779604