In this paper, we study ∗-g-frames in tensor products of Hilbert C∗-modules. We show that a tensor product of two ∗-g-frames is a ∗-g-frame, and we get some result.

In this paper, we introduce the notion of ∗-[Formula: see text]-operator frame as a generalization of the notion of [Formula: see text]-operator frame and we study the corresponding frame operator. It is completed by a result on the frame operator of the tensor product of two frame operators.

In this paper, we introduce the concepts of g-fusion frame and K-g-fusion frame in Hilbert C∗-modules and we give some properties. Also, we study the stability problem of g-fusion frame. The presented results extend, generalize and improve many existing results in the literature.

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In this paper, we present some fixed point results for generalized θ‐ϕ‐contraction in the framework of α,η−compete rectangular b‐metric spaces. Further, we establish some fixed point theorems for this type of mappings defined on such spaces. Our results generalize and improve many of the well-known results. Moreover, to support our main results, we give an illustrative example.