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Browsing by Author "Tas, K."

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    Article
    Existence and uniqueness of a common fixed point on partial metric spaces
    (Pergamon-elsevier Science Ltd, 2011) Abdeljawad, Thabet; Abdeljawad, T.; Karapınar, Erdal; Karapinar, E.; Tas, K.; Taş, Kenan; 19184; 4971
    In this work, a general form of the weak phi-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S, T on a complete partial metric space X have a common fixed point if it is a generalized weak phi-contraction. (C) 2011 Elsevier Ltd. All rights reserved.
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    Article
    On the non-commutative neutrix product of the distributions x(+)(lambda) and x(+)(mu)
    (Springer Heidelberg, 2006) Fisher, B.; Taş, Kenan; Tas, K.; 4971
    Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequence converging to the Dirac delta function. The non-commutative neutrix product f circle g of f and g is defined to be the limit of the sequence {fg(n)}, provided its limit h exists in the sense that [GRAPHICS] for all functions p in D. It is proved that (x(+)(lambda)ln(p)x(+)) circle (x(+)(mu)ln(q)x(+)) = x(+)(lambda+mu)ln(p+q)x(+), (x(-)(lambda)ln(p)x(-)) circle (x(-)mu ln(q)x(-)) = x(-)(lambda+mu)ln(p+q)x(-), for lambda + mu < -1; lambda,mu,lambda+mu not equal -1,-2,... and p,q = 0,1,2.....