FIXED POINT THEOREMS IN p−SUMMABLE SYMMETRIC n−CONE NORMED SEQUENCE SPACES

Yıl 2013, Cilt: 3 Sayı: 2, 198 - 205, 01.12.2013

Ahmet Sahiner Tuba Yigit

Öz

In this study fixed point theorems and related concepts in summable symmetric cone normed sequence spaces are investigated.

Anahtar Kelimeler

symmetric n−normed space, symmetric n−cone Banach space, fixed pointtheorems

Kaynakça

• Sahiner, A., (2012), Fixed point theorems in symmetric cone Banach space (lp,∥., .∥c), Journal of p
• Nonlinear Analysis and Optimization: Theory and Applications, 3 (2), 115− 120. G¨ahler, S., (1963), 2-metrische Raume und ihre topologische struktur, Math. Nachr. 26, 115− 148.
• Lewandowska, Z., (1999), Linear operators on generalized 2−normed spaces, Bull. Math. Soc. Sci. Math. Roumanie 42, 353− 368.
• Lewandowska, Z., (2001), Generalized 2−normed spaces, Slupskie Prace Mathematyczno-Fizyczne 1, − 40.
• Gunawan, H. and Mashadi, (2001), On n−normed spaces, IJMMS 27 (10), 631 − 639.
• Gunawan, H. and Mashadi, (2001), On finite-dimensinal 2−normed spaces, Soochow J. Math. 27, − 329.
• Long-Guang, H. and Xian, Z.,(2007), Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468− 1476.
• Rezapour, Sh. and Halmbarani, R., (2008), Some notes on the paper ”Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 345, 719− 724.
• Karapınar, E., (2009), Fixed point theorems in cone Banach spaces, Fixed Point Theory Appl. doi : 1155/2009/609281.
• Huang, X., Zhu, C. and Wen, Xi., (2010), A common fixed point theorem in cone metric spaces, Int. J. Math. Anal. 4 (15), 721− 726.
• Khamsi, M. A., (2010), Remarks on cone metric spaces and fixed point theorems of contractive mappings, Fixed Point Theory Appl.doi : 10.1155/2010/315398.
• Shatanawi, W., (2010), Partially ordered cone metric spaces and coupled fixed point results, Com- put.Math. Appl. 60, 2508− 2515.
• Feng, Y. and Mao, W., (2010), The equivalence of cone metric spaces and metric spaces, Fixed Point Theory 11 (2), 259− 264.
• Malviya, N. and Chouhan, S., (2011), Proving fixed point theorems using general principles in cone
• Banach spaces, Int. Math. Forum 6 (3), 115− 123. Abbas, M. and Rhoades, B.E., (2009), Fixed and periodic point results in cone metric space, Appl. Math. Lett. 22, 511− 515.
• Gunawan, H., (2001), The space of p−summable sequences and its natural n−norm, Bull. Aust. Math. Soc., 64 (1), 137− 147.