Common Fixed Point Theorem for a Family of Non-Self Mappings in Cone Metric Spaces ABSTRACT | FULL TEXT

Yıl 2012, Cilt: 41 Sayı: 6, 853 - 865, 01.06.2012

Xianjiu Huang Chuanxi Zhu Xi Wen

Anahtar Kelimeler

-

Kaynakça

• Abbas, M. and Jungck, G. Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341, 416–420, 2008.
• Abbas, M. and Rhoades, B. E. Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. 22, 511–515, 2009.
• Arshad, M., Azam, A. and Vetro, P. Some common fixed point results in cone uniform spaces,
• doi:10.1155/2009/493965, 2009. Article ID 493965,
• Pages, [4] Assad, N. A. and Kirk, W. A. Fixed point theorems for set valued mappings of contractive type, Pacific J. Math. 43(3), 553–562, 1972.
• Azam, A. and Arshad, M. Common fixed points of generalized contractive maps in cone uniform spaces, Bull. Iranian Math. Soc. 35 (2), 255–264, 2009.
• Di Bari, C. and Vetro, P. ϕ-pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 57, 279–285, 2008.
• Di Bari, C. and Vetro, P. Weakly ϕ-pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo 58 , 125–132, 2009.
• Hadzic, O. and Gajic, Lj. Coincidence points for set-valued mappings in convex metric spaces, Univ. U. Novom. Sadu. Zb. Rad. Prirod. Mat. Fak. Ser. Mat. 16 (1), 13–25, 1986.
• Haghi, R. H. nd Rezapour, Sh. Fixed points of multifunctions on regular cone metric spaces, Expo. Math. 28, 71–77, 2009.
• Haghi, R. H., Rezapour, Sh. and Shahzad, N. Some fixed point generalizations are not real generalizations, Nonlinear Anal. 74, 1799–1803, 2011.
• Huang, L. G. and Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007.
• Huang, X. J., Zhu, C. X. and Wen, X. Common fixed point theorem for four non-self mappings in cone metric spaces. Fixed Point Theory Appl., Article ID 983802, 14 pages, doi:10.1155/2010/983802, 2010.
• Ilic, D. and Rakocevic, V. Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341 (2), 876–882, 2008.
• Imdad, M. and Khan, L. Some common fixed point theorems for a family of mappings in metrically convex spaces, Nonlinear Anal. 67, 2717–2726, 2007.
• Imdad, M. and Kumar, S. Rhoades-type fixed point theorems for a pair of non-self mappings, Computer and Math. with Appl. 46, 919–927, 2003.
• Jankovic, S., Kadelburg, Z., Radenovic, S. and Rhoades, B. E. Assad-Kirk-type fixed point theorems for a pair of nonself mappings on cone metric spaces, Fixed Point Theory and Appl., 16 pages, Article ID 761086, doi:10.1155/2009/761086, 2009.
• Jungck, G., Radenovic, S., Radojevic, S. and Rakocevic, V. Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed Point Theory and Appl., Article ID 643840, 13 pages, doi:10.1155/2009/643840, 2009.
• Kadelburg,Z., Radenovic, S. and Rakocevic, V. Remarks on “quasi-contraction on a cone metric space”, Appl. Math. Lett. 22, 1674–1679, 2009.
• Kadelburg, Z., Radenovic, S. and Rosic, B. Strict contractive conditions and common fixed point theorems in cone metric spaces, Fixed Point Theory and Appl. 2009, Article ID 173838, 14 Pages, doi:10.1155/2009/173838, 2009.
• Klim, D. and Wardowski, D. Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces, Nonlinear Anal. 71, 5170–5175, 2009.
• Radenovic, S. Common fixed points under contractive conditions in cone metric spaces, Computer and Math. with Appl. 58, 1273–1278, 2009.
• Radenovic,S. and Rhoades, B. E. Fixed point theorem for two non-self mappings in cone metric spaces, Computer and Math. with Appl. 57, 1701-1707, 2009.
• Reich, S. Some remarks concerning contraction mappings, Canad. Math. Bull. 14, 121–124, 1971.
• Rezapour, Sh. and Haghi, R. H. Two results about fixed point of multifunctions, Bull. Iranian Math. Soc. 36 (2), 279–287, 2010.
• Rezapour, Sh. and Haghi, R. H. Fixed point of multifunctions on cone metric spaces, Numer. Funct. Anal. and Opt. 30 (7-8), 825–832, 2009.
• Rezapour, Sh., Khandani, H. and Vaezpour, S. M. Efficacy of cones on topological vector spaces and application to common fixed points of multifunctions, Rend. Circ. Mat. Palermo 59, 185–197, 2010.
• Rezapour, Sh., Haghi, R. H. and Shahzad, N. Some Notes on fixed points of quasicontraction maps, Appl. Math. Lett. 23, 498–502, 2010.
• Rezapour, S. and Hamlbarani, R. Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 345, 719–724, 2008.
• Rhoades, B. E. A comparison of contractive definitions, Trans. Amer. Math. Soc. 226, 257– 290, 1977.
• Vetro, P. Common fixed points in cone metric spaces, Rendiconti del circolo matematico di Palermo, Serie II, Tomo LVI, 464–468, 2007.
• Wardowski, D. Endpoints and fixed points of set-valued contractions in cone metric space, Nonlinear Anal. 71, 512–516, 2009.
• Wong, Y. C. and Ng, K. F. Partially Ordered Topological Vector Spaces (Clarendon Press, Oxford, 1973).
• Zhu, C. X. and Chen, C. F. Calculations of random fixed point index, J. Math. Anal. Appl. 339, 839–844, 2008.
• Zhu, C. X. and Xu, Z. B. Random ambiguous point of random k(ω)-set-contractive operator, J. Math. Anal. Appl. 328, 2–6, 2007.