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Browsing by Author "Tran Duc Thanh"

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    Citation - WoS: 18
    Citation - Scopus: 19
    A Generalization of Ciric Quasicontractions
    (Hindawi Publishing Corporation, 2012) Karapinar, Erdal; Kieu Phuong Chi; Tran Duc Thanh; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    We proved a fixed point theorem for a class of maps that satisfy Ciric's contractive condition dependent on another function. We presented an example to show that our result is a real generalization.
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    Citation - WoS: 52
    Citation - Scopus: 47
    A Generalized Contraction Principle in Partial Metric Spaces
    (Pergamon-elsevier Science Ltd, 2012) Kieu Phuong Chi; Karapinar, Erdal; Tran Duc Thanh; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    In this paper, we prove fixed point theorems for generally contractive mappings in complete partial metric spaces. Theorems presented are generalizations of recent fixed point theorems of D. Ilic, V. Pavlovic, and V. Rakocevic. An example is also stated that illustrates our results are extensions of their theorems. (C) 2011 Elsevier Ltd. All rights reserved.
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    Citation - WoS: 5
    Citation - Scopus: 5
    A Solution for the Non-Cooperative Equilibrium Problem of Two Person Via Fixed Point Theory
    (Springeropen, 2015) Tran Duc Thanh; Hobiny, Aatef; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
    In this paper, we investigate the non-cooperative equilibrium problem of two person games in the setting of game theory and propose a solution via coupled fixed point results in the context of partial metric spaces. We also realize that our coupled fixed point results can be applied to get a solution of a class of nonlinear Fredholm type integral equations.