Some common fixed point theorems for $(Phi, Psi)$-weak contractions in intuitionistic generalized fuzzy cone metric spaces

Jeyaraman, M.

doi:10.26637/mjm0s01/0036

Cited by 4 publications

(1 citation statement)

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“…In 2017, Mohamed and Ranjith [5] established the notion of intuitionistic fuzzy cone metric spaces (IFCMSs), which combined the notions of intuitionistic fuzzy sets and cone metric space. Recently, intuitionistic generalized fuzzy cone metric spaces (IGFCMSs) were introduced by Jeyaraman and Sowndrarajan [6] as a generalization of IFCMS and they extended the notion of a (ϕ, ψ)-weak contraction to IGFCMS by employing the idea of altering distance function. They also obtained common fixed-point theorems in IGCFMS.…”

Section: Introductionmentioning

confidence: 99%

Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces

et al. 2022

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In order to solve issues that arise in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization issues, equilibrium problems, complementarity issues, selection and matching problems, and issues proving the existence of solutions to integral and differential equations, fixed point theory provides vital tools. In this study, we discuss topological structure and several fixed-point theorems in the context of generalized neutrosophic cone metric spaces. In these spaces, the symmetric properties play an important role. We examine the existence and a uniqueness of a solution by utilizing new types of contraction mappings under some circumstances. We provide an example in which we show the existence and a uniqueness of a solution by utilizing our main result. These results are more generalized in the existing literature.

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Section: Introductionmentioning

confidence: 99%