• Nonlinear Functional Analysis and Applications
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• v.28 no.3
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• pp.703-717
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• 2023

In this paper, we will introduce the notion of 𝜓-type and Jaggi type hybrid contraction in a bipolar metric space and show the existence and uniqueness of fixed point for such type of contractions. In the end, we will provide some corollaries and support our theorems by examples.

• Korean Journal of Mathematics
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• v.32 no.3
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• pp.507-520
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• 2024

In this manuscript, a new multi-valued contraction is defined from a combination of Jaggi-type hybrid contraction and Suzuku-type hybrid contraction. Conditions for the existence of fixed points for such contractions in metric space are investigated. Moreover, some consequences are highlighted and discussed to indicate the significance of our proposed ideas. An example is given to support the assumptions of our theorems.