In the setting of fuzzy metric spaces (FMSs), a global optimization problem (GOP) obtaining distance between two subsets an FMS is solved by tripled fixed-point (FP) technique here. Also, weak contractions (WTCs) for that are given. This was known before in space (MS) as proximity point (PPP). The result correct each continuous τ—norms related to FMS. Furthermore, non-trivial example illustrate...

In this paper, we introduce cyclic weak φ−contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.

We prove some common fixed-point theorems for the ordered g-weak contractions in cone rectangular metric spaces without assuming the normality of cone. Our results generalize some recent results from cone metric and cone rectangular metric spaces into ordered cone rectangular metric spaces. Examples are provided which illustrate the results.

The aim of the present paper is to establish a common fixed point theorem for sequence of self mappings under (φ, ψ)-weak contractions in fuzzy metric space employing the control function which generalizes and improves various well-known comparable results.