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International Conference Anatolian Communications in Nonlinear Analysis

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  1. Research

    Periodic solutions of delay differential equations with feedback control for enterprise clusters based on ecology theory

    By utilizing a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions of enterprise clusters based on ecology theory with time-varying del...

    Ahmad Soltan Mohamadi, Abdolrasoul Pourabbas and Seyed Mansour Vaezpour

    Journal of Inequalities and Applications 2014 2014:306

    Published on: 20 August 2014

  2. Research

    The equivalence between the convergence of the modified Mann and Ishikawa iterations for asymptotically pseudocontractive mappings obtained by dropping the bounded assumption

    In this paper, we show the equivalence of convergence between the modified Mann and Ishikawa iterations with errors for an asymptotically pseudocontractive mapping under the condition of removing the bounded a...

    Guiwen Lv and Zhiqun Xue

    Journal of Inequalities and Applications 2014 2014:293

    Published on: 18 August 2014

  3. Research

    Fixed point theorems for φ-contractions

    This paper deals with the fixed point theorems for mappings satisfying a contractive condition involving a gauge function φ when the underlying set is endowed with a b-metric. Our results generalize/extend the ma...

    Maria Samreen, Quanita Kiran and Tayyab Kamran

    Journal of Inequalities and Applications 2014 2014:266

    Published on: 22 July 2014

  4. Research

    On the sum of contractive type of mappings II: maps on different classes

    In this paper we will show that the sum of two mappings belonging to different contractive classes gives one map in another class that should be different from the two classes of mappings initially considered....

    Edixon M Rojas and José R Morales

    Journal of Inequalities and Applications 2014 2014:208

    Published on: 23 May 2014

  5. Research

    Generalizations of Hölder inequality and some related results on time scales

    In this paper, we establish some generalizations and refinements of the Hölder inequality on time scales via the diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integra...

    Guang-Sheng Chen, Feng-Li Huang and Li-Fang Liao

    Journal of Inequalities and Applications 2014 2014:207

    Published on: 23 May 2014

  6. Research

    Fuzzy fixed point theorems in Hausdorff fuzzy metric spaces

    In this paper, we introduce the concept of fuzzy mappings in Hausdorff fuzzymetric spaces (in the sense of George and Veeramani (Fuzzy Sets Syst.64:395-399, 1994)). We establish the existence of α-fuzzyfixed poin...

    Supak Phiangsungnoen, Wutiphol Sintunavarat and Poom Kumam

    Journal of Inequalities and Applications 2014 2014:201

    Published on: 22 May 2014

  7. Research

    On reverse Hilbert-type inequalities

    By introducing two pairs of conjugate exponents and estimating the weight coefficients, we establish reverse versions of Hilbert-type inequalities, as described by Jin (J. Math. Anal. Appl. 340:932-942, 2008),...

    Biao Xu, Xu-Huan Wang, Wei Wei and Haoxiang Wang

    Journal of Inequalities and Applications 2014 2014:198

    Published on: 20 May 2014

  8. Research

    Triple fixed point theorems via α-series in partially ordered metric spaces

    This manuscript has two aims: first we extend the definitions of compatibility and weakly reciprocally continuity, for a trivariate mapping F and a self-mapping g akin to a compatible mapping as introduced by Cho...

    Ramesh Kumar Vats, Kenan Tas, Vizender Sihag and Amit Kumar

    Journal of Inequalities and Applications 2014 2014:176

    Published on: 12 May 2014

  9. Research

    Strong convergence algorithm for approximating the common solutions of a variational inequality, a mixed equilibrium problem and a hierarchical fixed-point problem

    This paper investigates the common set of solutions of a variational inequality, a mixed equilibrium problem, and a hierarchical fixed-point problem in a Hilbert space. A numerical method is proposed to find t...

    Abdellah Bnouhachem

    Journal of Inequalities and Applications 2014 2014:154

    Published on: 2 May 2014

  10. Research

    Existence of solutions of integral equations via fixed point theorems

    Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are...

    Selma Gülyaz and İnci M. Erhan

    Journal of Inequalities and Applications 2014 2014:138

    Published on: 3 April 2014

  11. Research

    On the Korovkin approximation theorem and Volkov-type theorems

    In this short paper, we give a generalization of the classical Korovkin approximation theorem (Korovkin in Linear Operators and Approximation Theory, 1960), Volkov-type theorems (Volkov in Dokl. Akad. Nauk SSS...

    Nihan Uygun

    Journal of Inequalities and Applications 2014 2014:89

    Published on: 20 February 2014

  12. Research

    The extended Mittag-Leffler function and its properties

    In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them. Th...

    Mehmet Ali Özarslan and Banu Yılmaz

    Journal of Inequalities and Applications 2014 2014:85

    Published on: 20 February 2014

  13. Research

    Ciric-type δ-contractions in metric spaces endowed with a graph

    The purpose of this paper is to present some fixed-point and strict fixed-point results in a metric space endowed with a graph, using a contractive condition of Ćirić type with respect to the functional δ. The da...

    Cristian Chifu and Adrian Petruşel

    Journal of Inequalities and Applications 2014 2014:77

    Published on: 17 February 2014

  14. Research

    On locally contractive fuzzy set-valued mappings

    We prove the existence of common fuzzy fixed points for a sequence of locally contractive fuzzy mappings satisfying generalized Banach type contraction conditions in a complete metric space by using iterations...

    Jamshaid Ahmad, Akbar Azam and Salvador Romaguera

    Journal of Inequalities and Applications 2014 2014:74

    Published on: 13 February 2014

  15. Research

    A new approach to ( α , ψ ) -contractive nonself multivalued mappings

    In this paper, we introduce the notions of α-admissible and α-ψ-contractive type condition for nonself multivalued mappings. We establish fixed point theorems using these new notions along with a new condition. M...

    Muhammad Usman Ali, Tayyab Kamran and Erdal Karapınar

    Journal of Inequalities and Applications 2014 2014:71

    Published on: 13 February 2014

  16. Research

    Berinde-Borcut tripled fixed point theorem in partially ordered (intuitionistic) fuzzy normed spaces

    In this paper, we prove some tripled fixed point theorems in fuzzy normed spaces. Our results improve and restate the proof lines of the main results given in the paper (Abbas et al. in Fixed Point Theory Appl. 2...

    Poom Kumam, Juan Martínez-Moreno, Antonio-Francisco Roldán-López-de-Hierro and Concepción Roldán-López-de-Hierro

    Journal of Inequalities and Applications 2014 2014:47

    Published on: 30 January 2014

  17. Research

    Optimality conditions for pessimistic semivectorial bilevel programming problems

    In this paper, a class of pessimistic semivectorial bilevel programming problems is investigated. By using the scalarization method, we transform the pessimistic semivectorial bilevel programming problem into ...

    Bingbing Liu, Zhongping Wan, Jiawei Chen and Guangmin Wang

    Journal of Inequalities and Applications 2014 2014:41

    Published on: 24 January 2014

  18. Research

    Attractivity for a k-dimensional system of fractional functional differential equations and global attractivity for a k-dimensional system of nonlinear fractional differential equations

    In this paper, we present some results for the attractivity of solutions for a k-dimensional system of fractional functional differential equations involving the Caputo fractional derivative by using the classica...

    Dumitru Baleanu, Sayyedeh Zahra Nazemi and Shahram Rezapour

    Journal of Inequalities and Applications 2014 2014:31

    Published on: 24 January 2014

  19. Research

    Some identities of q-Euler polynomials arising from q-umbral calculus

    Recently, Araci-Acikgoz-Sen derived some interesting identities on weighted q-Euler polynomials and higher-order q-Euler polynomials from the applications of umbral calculus (see (Araci et al. in J. Number Theory...

    Dae San Kim and Taekyun Kim

    Journal of Inequalities and Applications 2014 2014:1

    Published on: 2 January 2014

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