2,376 research outputs found

    Weak partial metric spaces and some fixed point results

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    [EN] The concept of partial metric p on a nonempty set X was introduced by Matthews. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x e X. Also, each partial metric p on a nonempty set X generates a T0 topology on X. By omitting the small self-distance axiom of partial metric, Heckmann defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces.Altun, I.; Durmaz, G. (2012). Weak partial metric spaces and some fixed point results. Applied General Topology. 13(2):179-191. doi:10.4995/agt.2012.1628SWORD17919113

    Fixed point Results with Soft G- Metrc spaces

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    In the present paper, we prove fixed point results of mapping defined on soft G-metric space. Keywords: - Soft set, soft G-metric space, fixed point. Mathematics Subject Classification: - 47H10, 54H25

    Coupled coincidence point theorems for mixed monotone nonlinear operators

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    AbstractWe obtain coupled coincidence and coupled common fixed point theorems for mixed g-monotone nonlinear operators F:X×X→X in partially ordered metric spaces. Our results are generalizations of recent coincidence point theorems due to Lakshmikantham and Ćirić [V. Lakshmikantham, L. Ćirić, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009) 4341–4349], of coupled fixed point theorems established by Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7) (2006) 1379–1393] and also include as particular cases several related results in very recent literature

    Fixed point theorems for (ε, λ)-uniformly locally contractive mapping defined on ε-chainable G-metric type spaces

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    In this article, we discuss fixed point results for (ε, λ)-uniformly locally contractive self mapping defined on ε-chainable G-metric type spaces. In particular, we Show that under some more general conditions, certain fixed point results already obtained in the literature remain true
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