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International Conference Anatolian Communications in Nonlinear Analysis

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  1. Content type: Research

    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...

    Authors: Ahmad Soltan Mohamadi, Abdolrasoul Pourabbas and Seyed Mansour Vaezpour

    Citation: Journal of Inequalities and Applications 2014 2014:306

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  2. Content type: Research

    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...

    Authors: Guiwen Lv and Zhiqun Xue

    Citation: Journal of Inequalities and Applications 2014 2014:293

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  3. Content type: Research

    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...

    Authors: Maria Samreen, Quanita Kiran and Tayyab Kamran

    Citation: Journal of Inequalities and Applications 2014 2014:266

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  4. Content type: Research

    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...

    Authors: Supak Phiangsungnoen, Wutiphol Sintunavarat and Poom Kumam

    Citation: Journal of Inequalities and Applications 2014 2014:201

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  5. Content type: Research

    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),...

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

    Citation: Journal of Inequalities and Applications 2014 2014:198

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  6. Content type: Research

    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...

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

    Citation: Journal of Inequalities and Applications 2014 2014:176

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  7. Content type: Research

    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...

    Authors: Abdellah Bnouhachem

    Citation: Journal of Inequalities and Applications 2014 2014:154

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  8. Content type: Research

    Abdeljawad (Fixed Point Theory Appl., 2013:19) introduced the concept of α-admissible for a pair of mappings. More recently Salimi et al. [Fixed Point Theory Appl., 2013:151] modified the notion of α-ψ-contractiv...

    Authors: Nawab Hussain, Muhammad Arshad, Abdullah Shoaib and Fahimuddin

    Citation: Journal of Inequalities and Applications 2014 2014:136

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  9. Content type: Research

    The paper deals with an approximate method for solving a mixed boundary value problem for nonlinear difference equations containing a maximum of the unknown function over a past time interval. Every successive...

    Authors: Snezhana Hristova and Angel Golev

    Citation: Journal of Inequalities and Applications 2014 2014:132

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  10. Content type: Research

    We obtain a fixed point theorem for a type of generalized contractions on preordered complete fuzzy quasi-metric spaces which is applied to deduce, among other results, a procedure to show in a direct and easy...

    Authors: Francisco Castro-Company, Salvador Romaguera and Pedro Tirado

    Citation: Journal of Inequalities and Applications 2014 2014:122

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  11. Content type: Research

    In the article, the authors introduce a new notion, ‘α-preinvex function’, establish an integral identity for the newly introduced function, and find some Hermite-Hadamard type integral inequalities for a functio...

    Authors: Yan Wang, Miao-Miao Zheng and Feng Qi

    Citation: Journal of Inequalities and Applications 2014 2014:97

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  12. Content type: Research

    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...

    Authors: Nihan Uygun

    Citation: Journal of Inequalities and Applications 2014 2014:89

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  13. Content type: Research

    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...

    Authors: Mehmet Ali Özarslan and Banu Yılmaz

    Citation: Journal of Inequalities and Applications 2014 2014:85

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  14. Content type: Research

    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...

    Authors: Cristian Chifu and Adrian Petruşel

    Citation: Journal of Inequalities and Applications 2014 2014:77

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  15. Content type: Research

    In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is considered. Under some natural regu...

    Authors: Fatma Kanca and Irem Baglan

    Citation: Journal of Inequalities and Applications 2014 2014:76

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  16. Content type: Research

    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...

    Authors: Jamshaid Ahmad, Akbar Azam and Salvador Romaguera

    Citation: Journal of Inequalities and Applications 2014 2014:74

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  17. Content type: Research

    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...

    Authors: Muhammad Usman Ali, Tayyab Kamran and Erdal Karapınar

    Citation: Journal of Inequalities and Applications 2014 2014:71

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  18. Content type: Research

    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...

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

    Citation: Journal of Inequalities and Applications 2014 2014:47

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  19. Content type: Research

    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 ...

    Authors: Bingbing Liu, Zhongping Wan, Jiawei Chen and Guangmin Wang

    Citation: Journal of Inequalities and Applications 2014 2014:41

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  20. Content type: Research

    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...

    Authors: Dumitru Baleanu, Sayyedeh Zahra Nazemi and Shahram Rezapour

    Citation: Journal of Inequalities and Applications 2014 2014:31

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  21. Content type: Research

    In this paper, we characterize α-ψ contractive mappings in the setting of quasi-metric spaces and investigate the existence and uniqueness of a fixed point of such mappings. We notice that by using our result som...

    Authors: Nurcan Bilgili, Erdal Karapınar and Bessem Samet

    Citation: Journal of Inequalities and Applications 2014 2014:36

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  22. Content type: Research

    In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application ...

    Authors: Baoqiang Yan, Donal O’Regan and Ravi P Agarwal

    Citation: Journal of Inequalities and Applications 2014 2014:37

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  23. Content type: Research

    In this paper, we consider a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point...

    Authors: Balwant Singh Thakur and Mihai Postolache

    Citation: Journal of Inequalities and Applications 2013 2013:590

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  24. Content type: Research

    In this note, we show that multidimensional fixed point theorems established in the recent report [M. Ertürk and V. Karakaya, n-tuplet fixed point theorems for contractive type mappings in partially ordered metri...

    Authors: Erdal Karapınar and Antonio Roldán

    Citation: Journal of Inequalities and Applications 2013 2013:567

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  25. Content type: Review

    In the expository review and survey paper dealing with bounds for the ratio of two gamma functions, along one of the main lines of bounding the ratio of two gamma functions, the authors look back and analyze s...

    Authors: Feng Qi and Qiu-Ming Luo

    Citation: Journal of Inequalities and Applications 2013 2013:542

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