AbstractIn this paper, we introduce a new contraction, namely, almost {\mathcal{Z}} contraction with respect to \zeta \in {\mathcal{Z}}, in the setting of complete metric spaces. We proved that such contraction possesses a fixed point and the given theorem covers several existing results in the literature. We consider an example to illustrate our result.
In this paper, we obtain a Suzuki type unique common fixed point theorem using C-condition in partial metric spaces. In addition, we give an example which supports our main theorem.
In this paper, we obtain a Suzuki type unique common coupled fixed point theorem by using ψ − φ contraction in partially ordered multiplicative metric spaces. We also give an example to illustrate our main theorem.
In this paper, we introduce the notions of soft α − ψ-contractive mappings and cyclic soft (α, β) − ψ-contractive mappings, and the purpose of this paper to prove some fixed point theorems in soft metric space.
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