1,020 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

    Common Fixed Point Theorems for Four Self Maps on A Menger Space, Satisfying Common E. A. Property

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    In this paper, we prove common fixed point theorems for four self maps by using weak compatibility in Menger spaces. Our result extend, generalized several fixed point theorems on Menger spaces. Keywords— Common fixed points, Metric space, Menger space, weak compatible mappings and E. A. property. AMS subject classification– 47H10, 54H25

    COUPLED FIXED POINT THEOREMS OF INTEGRAL TYPE MAPPINGS IN CONE METRIC SPACES

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    In this paper, we prove some coupled fixed point theorems in cone metric spaces. Furthermore, we introduce and prove the integral version of coupled fixed point theorems in cone metric spaces. Our results unify, extend and generalize the known results on coupled fixed point theorems in cone metric spaces

    Coupled Fixed Point Theorems In Cone D*-Metric Space

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    Abstract: In this paper, we have proved some coupled fixed point theorems in partially ordered cone D*-Metric spaces. Related important results are also discussed. M. S. C. 2000: 47H10, 54H25 Key words: D*-Metric space, normal cones, fixed point, Coupled fixed point
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