New coincidence and common fixed point theorems

Applied General Topology

Volumn 10, Issue 1, 2009, Pages 121-130

  Singh, S L ^a   Hematulin, Apichai ^b   Pant, Rajendra ^c  

^a Nakhonratchasima Rajabhat University ^*  (India)

^b NAKHON RATCHASIMA RAJABHAT UNIVERSITY   (Thailand)

^c SRM INSTITUTE OF SCIENCE AND TECHNOLOGY   (India)

Author keywords

Asymptotic regularity; Banach contraction; Coincidence point; Fixed point; Quasicontraction

Indexed keywords

EID: 77950813976     PISSN: 15769402     EISSN: 19894147     Source Type: Journal    
DOI: 10.4995/agt.2009.1792     Document Type: Article

References (22)

1. D. W. Boyd and J. S. W. Wong, On nonlinear contractions, Proc. Amer. Math. Soc. 20 (1969), 458-464.
2. F. E. Browder and W. V. Petryshyn, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 571-575.
3. Y. J. Cho, P. P. Murthy and G. Jungck, A theorem of Meer-Keeler type revisited, Internat J. Math. Math. Sci. 23 (2000), 507-511.
4. Lj. B. Ćirić, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45 (1974), 267-273.
5. S. Itoh and W. Takahashi, Single valued mappings, mutivalued mappings and fixed point theorems, J. Math. Anal. Appl. 59 (1977), 514-521.
6. J. Jachymski, Equivalent conditions and the Meir-keeler type theorems, J. Math. Anal. Appl. 194 (1995), 293-303.
7. G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly. 83 (1976), 261-263.
8. G. Jungck and B. E. Rhoades, Fixed points for set-valued functions without continuity, Indian J. Pure Appl. Math. 29, no. 3 (1988), 227-238.
9. K. H. Kim, S. M. Kang and Y. J. Cho, Common fixed point of φcontractive mappings, East. Asian Math. J. 15 (1999), 211-222.
10. T. C. Lim, On characterization of Meir-Keeler contractive maps, Nonlinear Anal. 46 (2001), 113-120.
11. J. Matkowski, Fixed point theorems for contractive mappings in metric spaces, Cas. Pest. Mat. 105 (1980), 341-344.
12. A. Meir and E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl. 28 (1969), 326-329.
13. S. A. Naimpally, S. L. Singh and J. H. M. Whitfield, Coincidence theorems for hybrid contractions, Math. Nachr. 127 (1986), 177-180.
14. S. Park and B. E. Rhoades, Meir-Keeler type contractive conditions, Math. Japon. 26 (1981), 13-20.
15. P. D. Proinov, Fixed point theorems in metric spaces, Nonlinear Anal. 64 (2006), 546-557. (Pubitemid 41772926)
16. R. P. Pant, Common fixed points of noncommuting mappings J. Math. Anal. Appl. 188 (1994), 436-440.
17. B. E. Rhoades, A comparison of various definitions of contracting mappings, Trans. Amer. Math. Soc. 226 (1977), 257-290.
18. B. E. Rhoades, S. L. Singh and Chitra Kulshrestha, Coincidence theorems for some multivalued mappings, Internat. J. Math. Math. Sci. 7, no. 3 (1984), 429-434.
19. S. Romaguera, Fixed point theorems for mappings in complete quasi-metric spaces, An. Ştiinţ. Univ. Al. I. Cuza Iasi Sect. I a Mat. 39, no. 2 (1993), 159-164.
20. K. P. R. Sastry, S. V. R. Naidu, I. H. N. Rao and K. P. R. Rao, Common fixed point points for asymptotically regular mappings, Indian J. Pure Appl. math. 15, no. 8 (1984), 849-854.
21. S. L. Singh, K. Ha and Y. J. Cho, Coincidence and fixed point of nonlinear hybrid contractions, Internat. J. Math. Math. Sci. 12, no. 2 (1989), 247-256.
22. S. L. Singh and S. N. Mishra, Coincidence and fixed points of nonself hybrid contractions, J. Math. Anal. Appl. 256 (2001), 486-497.