The extension of quadrupled fixed point results in K-metric spaces

Subject Areas : History and biography

G. Soleimani Rad ¹

1 - Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran | Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Tehran, Iran.

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-03-01

Keywords: K-metric spaces, T-contraction, Sequentially, Quadrupled fixed point,

Abstract :

Recently, Rahimi et al. [Comp. Appl. Math. 2013, In press] defined the conceptof quadrupled fied point in K-metric spaces and proved several quadrupled fixed pointtheorems for solid cones on K-metric spaces. In this paper some quadrupled fixed point resultsfor T-contraction on K-metric spaces without normality condition are proved. Obtainedresults extend and generalize well-known comparable results in the literature.

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