A note on the diophantine equation a²x⁴ - By² = 1
Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces
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
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.
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