Yazar "Turkoglu, Duran" seçeneğine göre listele

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    Caristi-Type Fixed Point Theorems and Some Generalizations on M-Metric Space
    (MALAYSIAN MATHEMATICAL SCIENCES SOC, 2020) Altun, Ishak; Sahin, Hakan; Turkoglu, Duran
    In this paper, taking into account Caristi's fixed point results on both metric spaces and partial metric spaces, we present their some extensions and generalizations on M-metric spaces. First, by providing a counter example, we noticed that a recent result on Caristi-type fixed point theorem on M-metric space is not suitable. Then we propounded two versions of Caristi's inequality and proved some related fixed point results on M -metric space.
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    Fixed Point Results For Multivalued Mappings Of Feng-Liu Type On M-Metric Spaces
    (Mathematical Research Press-Math Res, 2018) Altun, Ishak; Sahin, Hakan; Turkoglu, Duran
    In this paper, we present some fixed point theorems for multivalued mappings of Feng-Liu type on complete M-metric spaces. Some illustrative examples are also provided to support our main results.
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    Fixed point results for P-contractive mappings on M-metric space and application
    (Amer Inst Mathematical Sciences-Aims, 2024) Tas, Maide Goksin; Turkoglu, Duran; Altun, Ishak
    In this paper, we elucidate a pivotal fixed point theorem for P-contraction mappings defined on M-metric spaces, offering a novel perspective on the interplay between mappings and the underlying space structure. This theorem's significance becomes evident when compared with earlier results, underscoring its potential to enhance our understanding of fixed point theory in M-metric spaces and its broader applications.
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    FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS SATISFYING AN IMPLICIT RELATION
    (Tamkang Univ, 2008) Turkoglu, Duran; Altun, Ishak
    In this paper, we give a common fixed point theorem for multivalued mappings with Hausdorff metric.
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    A fixed point theorem for weakly compatible mappings satisfying a general contractive condition of operator type
    (Charles Babbage Res Ctr, 2013) Altun, Ishak; Turkoglu, Duran
    In this paper, we prove a fixed point theorem for weakly compatible mappings satisfying a general contractive condition of operator type. In short, we are going to study mappings A, B,S,T : X -> X for which there exists a right continuous function psi : R+-> R+, psi(0) = 0 and psi(s) < s for s > 0 such that for each x, y is an element of X one has O(f; d(S-x,T-y))<= psi(O(f; M(x,y))), where O(f;.) and f are defined in the first section. Also in the first section, we give some examples for O(f;). The second section contains the main result. In the last section, we give some corollaries and remarks.
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    Some Fixed Point Theorems for Multi-Valued Weakly Uniform Increasing Operators
    (C E D A M Spa Casa Editr Dott Antonio Milani, 2008) Altun, Ishak; Turkoglu, Duran
    In the present work, we introduce the concept of weakly uniform increasing operators on an ordered spaces. We also give some common fixed point theorems for a pair of multivalued weakly uniform increasing operators in partially ordered metric space and in partially ordered Banach space.
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    Some Fixed Point Theorems for Multivalued Maps Satisfying an Implicit Relation on Metrically Convex Spaces
    (Kyungpook Natl Univ, Dept Mathematics, 2008) Altun, Ishak; Turkoglu, Duran
    In this paper, we give some fixed point theorems for multivalued maps satisfying an implicit relation on metrically convex spaces. Our results extend and generalize some fixed point theorem in the literature.
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    SOME FIXED POINT THEOREMS FOR MULTIVALUED WEAKLY INCREASING OPERATORS
    (Forum Editrice Univ Udinese, 2013) Altun, Ishak; Turkoglu, Duran
    In this paper, some common fixed point theorems for a pair of multivalued weakly increasing operators in partially ordered metric space and in partially ordered Banach space are proved.
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    Some fixed point theorems for weakly compatible multi valued mappings satisfying an implicit relation
    (Univ Nis, Fac Sci Math, 2008) Altun, Ishak; Turkoglu, Duran
    In this paper, we prove a common fixed point theorem for multivalued mappings under the condition of weak compatibility. Also, we define compatible maps of type (I) for multivalued mappings and prove a common fixed point theorem for this type mappings. We use an implicit relation to prove our main theorems.
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    Two fixed point results for multivalued F-contractions on M-metric spaces
    (Springer-Verlag Italia Srl, 2019) Sahin, Hakan; Altun, Ishak; Turkoglu, Duran
    In this article, by considering Feng-Liu's technique, we present new fixed point results for multivalued mappings which are regarding to F-contraction on M-complete M-metric space. Then, we provide some nontrivial examples showing that our main results proper extension of some earlier results in the literature.