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Author: Karapinar, ErdalPublisher: Hacettepe Univ, Fac Sci

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Now showing 1 - 3 of 3
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    Citation - WoS: 22
    Citation - Scopus: 23
    A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function
    (Hacettepe Univ, Fac Sci, 2013) Gulyaz, Selma; Karapinar, Erdal; Mathematics
    In this manuscript, we discuss the existence of coupled fixed points in the context of partially ordered metric spaces through implicit relations for mappings F:X x X -> X such that F has the mixed monotone property. Our main theorem improves and extends various results in the literature. We also state an example to illustrate our work.
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    Article
    Citation - WoS: 16
    Citation - Scopus: 20
    Common Fixed Point Theorems in Cone Banach Spaces
    (Hacettepe Univ, Fac Sci, 2011) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan; Mathematics
    Recently, E. Karapinar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.
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    Article
    ON PAIRS OF l-KOTHE SPACES
    (Hacettepe Univ, Fac Sci, 2010) Karapinar, Erdal
    Let l be a Banach sequence space with a monotone norm parallel to . parallel to e, in which the canonical system (e(i)) is a normalized unconditional basis. Let a = (a(i)), a(i) -> infinity, lambda = (lambda(i)) be sequences of positive numbers. We study the problem on isomorphic classification of pairs F = (K-l ( exp ( -1/pa(i))), K-l( exp ( -1/pa(i) ))) For this purpose, we consider the sequence of so-called m-rectangle characteristics mu(F)(m). It is shown that the system of all these characteristics is a complete quasidiagonal invariant on the class of pairs of finite-type. l-power series spaces. By using analytic scale and a modification of some invariants (modified compound invariants) it is proven that m-rectangular characteristics are invariant on the class of such pairs. Deriving the characteristic (beta) over tilde from the characteristic beta, and using the interpolation method of analytic scale, we are able to generalize some results of Chalov, Dragilev, and Zahariuta (Pair of finite type power series spaces, Note di Mathematica 17, 121-142, 1997).