- P-ISSN3059-0604
- E-ISSN3059-1309
- KCI
ISSN : 3059-0604
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Vol.32 No.3
Abstract
In this paper, we introduce a tripled b-metric spaces and tripled Hardy-Rogers-type (F, β)-contraction and establish fixed point theorems for these contractions and use our fixed point theorems to prove the existence theorem for Volterra-type integral inclusion.
Abstract
Graph labeling under various constraints is crucial for modeling complex systems, allowing different levels of information precision. Elegant Fuzzy Labeling, a flexible fuzzy labeling model, enhances adaptability over traditional methods. It accommodates diverse labeling approaches for different translation constants, broadening its applicability. In this paper, we extend Elegant Fuzzy Labeling to star graphs and their variants. We prove that all star graphs and the join of two star graphs admit this labeling. Additionally, we establish conditions for bistar graphs to admit this labeling, paving the way for further research in this domain.
Abstract
This paper is devoted to investigate a non-autonomous Mackey-Glass model with multiple iterative terms. We develop novel differential inequality techniques to construct appropriate positive invariant sets, and acquire the existence and uniqueness of positive almost periodic solution for the addressed model, which supplement and extend the corresponding results in existing literature.
Abstract
This paper extends best proximity point theorems in metric spaces by incorporating the notion of generalized ψ-ϕ contractions. We establish results for a single and a pairs of non-self mappings and demonstrating that the existence and uniqueness of best proximity points under some specific conditions. The obtained results also provide convergence results for sequences generated by these mappings. Additionally, we discuss how these results are related to the celebrated classical Banach contraction principle in the settings of metric spaces.