Fixed point theorems in metric spaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 64, Issue 3, 2006, Pages 546-557

  Proinov, Petko D ^a  

^a UNIVERSITY OF PLOVDIV   (Bulgaria)

Author keywords

Equivalent conditions; Fixed point theorems; Gauge functions; Meir Keeler conditions

Indexed keywords

FUNCTIONS;

EQUIVALENT CONDITION; FIXED POINT THEOREM; GAUGE FUNCTION; MEIR-KEELER EQUATION;

THEOREM PROVING;

EID: 28844507797     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.044     Document Type: Article

References (22)

1. R.M. Bianchini, and M. Grandolfi Transformazioni di tipo contracttivo generalizzato in uno spazio metrico Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 45 1968 212 216
2. D.W. Boyd, and J.S.W. Wong On nonlinear contractions Proc. Am. Math. Soc. 20 1969 458 464
3. F.E. Browder On the convergence of successive approximations for nonlinear functional equations Indag. Math. 30 1968 27 35
4. F.E. Browder, and W.V. Petryshyn The solution by iteration of nonlinear functional equations in Banach spaces Bull. Am. Math. Soc. 72 1966 571 575
5. Lj. Ćirić A new fixed-point theorem for contractive mappings Publ. Inst. Math. (N.S) 30 44 1981 25 27
6. Lj. Ćirić On some nonexpansive type mappings and fixed points Indian J. Pure Appl. Math. 24 1993 145 149
7. Lj. Ćirić A new class of nonexpansive type mappings and fixed points Czech. Math. J. 49 1999 891 899
8. M. Edelstein On fixed and periodic points under contractive mappings J. London Math. Soc. 37 1962 74 79
9. M. Furi Un teorema di punto fisso per transformazioni di uno spazio metrico completo in se Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 45 1968 207 211
10. M. Hegedüs, and T. Szilágyi Equivalent conditions and a new fixed point theorem in the theory of contractive type mappings Math. Japon. 25 1980 147 157
11. J. Jachymski Equivalent conditions and the Meir-Keeler type theorems J. Math. Anal. Appl. 194 1995 293 303
12. M. Kuczma, B. Choczewski, and R. Ger Iterative functional equations Encyclopedia of Mathematics and Applications vol. 32 1990 Cambridge University Press Cambridge
13. S. Leader Fixed points for operators on metric spaces with conditional uniform equivalence of orbits J. Math. Anal. Appl. 61 1977 466 474
14. T.C. Lim On characterization of Meir-Keeler contractive maps Nonlinear Anal. 46 2001 113 120
15. J. Matkowski Integrable solutions of functional equations Dissertationes Math. vol. 127 1975 Polish. Acad. Sci. Warszaw
16. J. Matkowski Fixed point theorems for contractive mappings in metric spaces Cas. Pest. Mat. 105 1980 341 344
17. A. Meir, and E. Keeler A theorem on contraction mappings J. Math. Anal. Appl. 28 1969 326 329
18. S. Park, and B.E. Rhoades Meir-Keeler type contractive conditions Math. Japon. 26 1981 13 20
19. E. Rakotch A note on contractive mappings Proc. Am. Math. Soc. 13 1962 459 465
20. M.R. Taskovic A monotone principle of fixed points Proc. Am. Math. Soc. 94 1985 427 432
21. C.S. Wong Characterizations of certain maps of contractive type Pac. J. Math. 68 1977 293 296
22. A. Zitarosa Una generalizzazione del teorema di Banach sulle contrazioni Matematiche 23 1968 417 424