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International Journal of Nonlinear Analysis and Applications
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Ramezani, M. (2015). Orthogonal metric space and convex contractions. International Journal of Nonlinear Analysis and Applications, 6(2), 127-132. doi: 10.22075/ijnaa.2015.261
Maryam Ramezani. "Orthogonal metric space and convex contractions". International Journal of Nonlinear Analysis and Applications, 6, 2, 2015, 127-132. doi: 10.22075/ijnaa.2015.261
Ramezani, M. (2015). 'Orthogonal metric space and convex contractions', International Journal of Nonlinear Analysis and Applications, 6(2), pp. 127-132. doi: 10.22075/ijnaa.2015.261
Ramezani, M. Orthogonal metric space and convex contractions. International Journal of Nonlinear Analysis and Applications, 2015; 6(2): 127-132. doi: 10.22075/ijnaa.2015.261

Orthogonal metric space and convex contractions

Article 11, Volume 6, Issue 2, Winter and Spring 2015, Page 127-132  XML PDF (269 K)
Document Type: Research Paper
DOI: 10.22075/ijnaa.2015.261
Author
Maryam Ramezani
Faculty of Mathematics, University of Bojnord, Bojnord, Iran
Abstract
‎In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath  might be called their  definitive versions. Also, we show that there are examples which show that our main theorems are  genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour,  {\it Approximate fixed points of generalized convex contractions}, Fixed Point Theory and Applications 2013,  2013:255].
Keywords
‎orthogonal metric space; fixed point; convex contaction
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