228 research outputs found

    Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces

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    In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for Boyd-Wong type nonlinear contractions satisfying generalized mixed monotone property in ordered metric spaces. Our results unify several classical and well-known n-tupled (including coupled, tripled and quadrupled ones) fixed point results existing in the literature.Comment: arXiv admin note: substantial text overlap with arXiv: 1601.0251

    Remarks on a common Fixed Point Theorem in compact metric spaces

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    A general common fixed point theorem for two pairs of weakly compatible self mappings proved in compact metric spaces employing a slightly modified implicit relation which generalizes almost all existing relevant common fixed point theorems. Some related results are also derived besides furnishing illustrative examples

    Millimetre-wave antennas and systems for the future 5G

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    Editorial of the special issue on Millimetre-Wave Antennas and Systems for the Future 5

    Fixed point and best proximity point results in PIV-S-metric spaces

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    This paper presents the concept of a partial idempotent valued S-metric space, abbreviated as PIV-S-metric space, as a generalization of both the PIV-metric space and S-metric space. The study utilizes this new framework to establish a fixed point theorem and a best proximity point theorem. Additionally, the paper proves the existence and uniqueness of the best proximity point within this context. Several illustrative examples are provided to demonstrate the practical applications of the main findings
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