Acceso abierto

Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications


Cite

[1] C.D. Aliprantis and R. Tourky, Cones and Duality, Graduate Studies in Mathematics, 84, American Mathematical Society, Providence, 2007.10.1090/gsm/084Search in Google Scholar

[2] K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, 1985.10.1007/978-3-662-00547-7Search in Google Scholar

[3] L.G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 2007, no. 2, 1468–1476.10.1016/j.jmaa.2005.03.087Search in Google Scholar

[4] Z. Kadelburg, S. Radenović, and V. Rakočević, Topological vector space-valued cone metric spaces and fixed point theorems, Fixed Point Theory Appl. 2010, Art. ID 170253, 17 pp.10.1155/2010/170253Search in Google Scholar

[5] L.V. Kantorovich, On some further applications of the Newton approximation method, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astr. 12 1957, no. 7, 68–103 (in Russian).Search in Google Scholar

[6] E. Karapınar, Some nonunique fixed point theorems of Ćirić type on cone metric spaces, Abstr. Appl. Anal. 2010, Art. ID 123094, 14 pp.10.1155/2010/123094Search in Google Scholar

[7] M.A. Khamsi, Remarks on cone metric spaces and fixed point theorems of contractive mappings, Fixed Point Theory Appl. 2010, Art. ID 315398, 7 pp.10.1155/2010/315398Search in Google Scholar

[8] S.D. Lin, A common fixed point theorem in abstract spaces, Indian J. Pure Appl. Math. 18 1987, no. 8, 685–690.Search in Google Scholar

[9] Sh. Rezapour and R. Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mapping”, J. Math. Anal. Appl. 345 2008, no. 2, 719–724.10.1016/j.jmaa.2008.04.049Search in Google Scholar

[10] B.E. Rhoades, Contractive definitions and continuity, in: R.F. Brown (ed.), Fixed Point Theory and Its Applications, Contemp. Math., 72, Amer. Math. Soc., Providence, 1988, pp. 233–245.10.1090/conm/072/956495Search in Google Scholar

[11] B. Rzepecki, On fixed point theorems of Maia type, Publ. Inst. Math. (Beograd) (N.S.) 28(42) 1980, 179–186.Search in Google Scholar

[12] A. Sonmez and H. Cakalli, Cone normed spaces and weighted means, Math. Comput. Modelling 52 2010, no. 9-10, 1660–1666.10.1016/j.mcm.2010.06.032Search in Google Scholar

[13] J.S. Vandergraft, Newton’s method for convex operators in partially ordered spaces, SIAM J. Numer. Anal. 4 1967, 406–432.10.1137/0704037Search in Google Scholar

eISSN:
2391-4238
Idioma:
Inglés
Calendario de la edición:
2 veces al año
Temas de la revista:
Mathematics, General Mathematics