Weakly biased maps and common fixed point theorems under rational inequality
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초록
The aim of this paper is to prove a common fixed point theorem for two pairs of selfmaps in a complete metric space (Theorem 3.3 ) in which one pair is compatible maps of type (A) and reciprocally continuous and the other one is a pair of weakly biased maps, using contraction condition involving rational expressions. This result partially generalizes the results of Jeong and Rhoades [1]. Similar results are proved in metric spaces, and compact metric spaces too.
Abstract
The aim of this paper is to prove a common fixed point theorem for two pairs of selfmaps in a complete metric space (Theorem 3.3 ) in which one pair is compatible maps of type (A) and reciprocally continuous and the other one is a pair of weakly biased maps, using contraction condition involving rational expressions. This result partially generalizes the results of Jeong and Rhoades [1]. Similar results are proved in metric spaces, and compact metric spaces too.
참고문헌 (12)
- Jeong, G.S., "Some remarks for improving fixed point theorems for more than two maps, Indian", J. Pure and Appl. Math, 28(9), pp.1177~1196 (1997)
- Jungck, G., "Compatible mappings and common fixed points", Int. J. Mat. Sci, 9(4), pp.771~779 (1986)
- Jungck, G., "Compatible mappings of type (A) and common fixed points", Math. Japonica, 38(2), pp.381~390 (1993)
- Jungck, G., "Fixed point via biased maps", Proc. Amer. Math. Soc, 123(7), pp.2049~2059 (1995)
- Jungck, G., "Fixed point theorems for compatible maps", Int. J. Math. Math. Sci, 226, pp.417~428 (1993)
- Jungck, G., "Fixed points for set valued functions without continuity", Ind. J. Pure and Appl. Math, 29(3), pp.227~238 (1998)
- Kang, S.M., "Common fixed point theorems in complete metric spaces", 박사, pp.1990
- Kang, S.M., "Fixed points for four mappings", Math. Japonica, 37(6), pp.1053~1059 (1992)
- Pant, R.P., "Common fixed points of four mappings", Bull. Cal. Math. Soc, 90, pp.281~286 (1998)
- Pathak, H.K., "Common fixed points of biased maps of type (A) and applications", Int. J. Math. Sci, 21(4), pp.681~694 (1998)
- Renu, Chungh, "Fixed points for four mappings", Proc. Indian Acad. Sci.(Math. Sci), III(2), pp.241~247 (2001)
- Sessa, S., "On weak commutativity condition of mappings in fixed point considerations", Publ. Inst. Math, 32(46), pp.149~153 (1982)