Some fixed point theorems in [3, ∆, 2]-metric spaces

Tomi Dimovski; Dončo Dimovski

doi:10.2298/fil2510359d

January 1, 2025FilomatOpen Access

Some fixed point theorems in [3, ∆, 2]-metric spaces

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Key Points

The aim is to establish both the existence and uniqueness of fixed points in certain types of metric spaces.
Prove fixed point existence for self-mappings in [3, ?, 2]-metric spaces.
Utilize properties of nondecreasing maps defined on [0, ?) for analysis.
Examine the convergence behavior of mappings as n approaches infinity.
Existence of fixed points is confirmed under specified conditions.
Uniqueness of the fixed point is established for the defined mapping.
Convergence to the fixed point is observed as n tends to infinity.

Implication

Article proves fixed point existence and uniqueness in metric spaces, suggesting broader applications in analysis.

Abstract

In this article we prove the existence and uniqueness of fixed points for self-mappings on [3, ?, 2]-metric spaces related to a nondecreasing map ?: [0, ?) ? [0, ?) such that limn???n(t) = 0 for all t ? (0, ?).

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Cite This Study

Dimovski et al. (2025) studied this question.

synapsesocial.com/papers/69897a14f0ec2af6756e8477 https://doi.org/10.2298/fil2510359d

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Some fixed point theorems in [3, ∆, 2]-metric spaces

Key Points

Implication

Abstract

Discussion

Cite This Study

Some fixed point theorems in [3, ∆, 2]-metric spaces

Key Points

Implication

Abstract

Discussion

Cite This Study

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