• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.417-427
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• 2023

The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings.

• Korean Journal of Mathematics
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• 제31권2호
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• pp.123-131
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• 2023

In this paper, we prove existence of best proximity points for 2-convex contraction, 2-sided contraction, and M-weakly cyclic 2-convex contraction mappings in the setting of complete strongly regular generalized modular metric spaces that generalize many results in the literature.

• Nonlinear Functional Analysis and Applications
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• 제29권3호
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• pp.885-897
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• 2024

The purpose of this paper is to introduce a class of distance altering functions that establish the existence and uniqueness of fixed points of 𝜈-admissible mappings that are subject to a generalized (𝜓, 𝜑)-almost weakly contraction on a generalized b₂-metric space.