a generalization of kannan and chatterjea fixed point theorems on complete $b$-metric spaces

Authors

hamid faraji

department of mathematics, science and research branch, islamic azad university, tehran, iran. kourosh nourouzi

faculty of mathematics, k. n. toosi university of technology, p.o. box 16315-1618, tehran, iran.

abstract

in this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. our results generalize kannan and chatterjea fixed point theorems on complete $b$-metric spaces. in particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. we also give some examples to illustrate the given results.

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Journal title:
sahand communications in mathematical analysis

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