Common Fixed Point Theorems for Mappings Satisfying an Implicit Relation Without Decreasing Assumption

Yıl 2007, Cilt: 36 Sayı: 1, 11 - 18, 01.01.2007

A. Aliouche A. Djoudi

Anahtar Kelimeler

-

Kaynakça

• Aliouche, A. A common fixed point theorem for weakly compatible mappings in compact metric spaces satisfying an implicit relation, Sarajevo J. Math. 3 (1), 1–8, 2007.
• Bouhadjera, H. General common fixed point theorems for compatible mappings of type (C), Sarajevo J. Math. 1 (2), 261–270, 2005.
• Djoudi, A. and Aliouche, A. A general common fixed point theorem for reciprocally contin- uous mappings satisfying an implicit relation, The Austral. J. Math. Anal. Appl. 3, 1–7, 2006. [4] Imdad, M., Kumar, S. and Khan, M. S. Remarks on some fixed point theorems satisfying implicit relations, Radovi Mat. 1, 35–143, 2002.
• Jungck, G. Compatible mappings and common fixed points, Internat J. Math. and Math. Sci. 9, 771–779, 1986.
• G. Jungck, G., Murthy, P. P. and Cho, Y. J. Compatible mappings of type (A) and common fixed points, Math. Japonica 38 (2), 381–390, 1993.
• Jungck, G. Common fixed points for non-continuous non-self maps on non metric spaces, Far East J. Math. Sci. 4 (2), 199–215, 1996.
• Pant, R. P. Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188, 436–440, 1994.
• Pant, R. P. Common fixed points for four mappings, Bull. Calcutta. Math. Soc. 9, 281–286, 1998. [10] Pant, R. P. A common fixed point theorem under a new condition, Indian J. Pure. Appl. Math. 30 (2), 147–152, 1999.
• Pathak, H. K. and Khan, M. S. Compatible mappings of type (B) and common fixed point theorems of Gregus type, Czechoslovak Math. J. 45 (120), 685–698, 1995.
• Pathak, H. K., Cho, Y. J., Kang, S. M. and Lee, B. S. Fixed point theorems for compatible mappings of type(P ) and applications to dynamic programming, Le Matematiche. 1, 15–33, 1995. [13] Pathak, H. K., Cho, Y. J., Khan, S. M. and Madharia, B. Compatible mappings of type (C) and common fixed point theorems of Gregus type, Demonstratio Math. 31 (3), 499–518, 1998. [14] Popa, V. Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32,157–163, 1999.
• Popa, V. Common fixed point theorems for compatible mappings of type (A) satisfying an implicit relation, Stud. Cercet. Stiint¸Ser. Mat. Univ. Bacau. 9, 165–172, 1999.
• Sessa, S. On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. 32 (46), 149–153, 1982.