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A note on the diophantine equation a²x⁴ - By² = 1

100%

Chen J.

Acta Arithmetica

2000-2001

tom 96

nr 3

205-212

Coupled fixed point theorems for (α, φ)g-contractive type mappings in partially ordered G-metric spaces

72%

Chen J. , Huang X.

Open Mathematics

2015

tom 13

nr 1

In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.

Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces

58%

Chen J. , Huang X. , Li S.

Open Mathematics

2016

tom 14

nr 1

857-874

In this paper, we introduce two different contractive conditions and prove some new fixed point theorems for cyclic (ψ,ϕ,φ)α-contractive mappings and α-(κ,φ)g-contractive mappings in complete metric-like spaces via altering distance functions. Our results generalize and extend some existing results. Moreover, some examples are given to support the obtained results.