Some fixed point theorems using wt-distance in b-metric spaces

• Autorzy: Mohanta S. K.

Identyfikatory

DOI

10.1515/fascmath-2015-0008

• Języki publikacji: EN

Abstrakty

EN

Some fixed point theorems using wt-distance in b-metric spaces In this paper we establish some common fixed point theorems by using the concept of wt-distance in a b-metric space. Our results extend and generalize several well known comparable results in the existing literature. Finally, some examples are provided to illustrate our results.

Słowa kluczowe

EN

b-metric space; wt-distance; expansive mapping; common fixed point

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2015
• Tom: Nr 54
• Strony: 125--140
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Mohanta S. K.

• Department of Mathematics West Bengal State University Barasat, 24 Parganas (North) West Bengal, Kolkata 700126, India

Bibliografia

• [1] Aghajani A., Abbas M., Roshan JR., Common Fixed Point of Generalized Weak Contractive Mappings in Partially Ordered b-Metric Spaces, Math. Slovaca, 2012.
• [2] Abbas M., Jungck G., Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 341(2008), 416-420.
• [3] Aydi H., Bota M-F., Karapinar E., Mitrovi’c E., A fixed point theorem for set-valued quasi-contractions in b-metric spaces, Fixed Point Theory and Applications, 2012, doi:10.1186/1687-1812-2012-88.
• [4] Aydi H., Bota M-F., Karapinar E., Moradi S., A common fixed point for weak ø-contractions on b-metric spaces, Fixed Point Theory, 13(2012), 337-346.
• [5] Bakhtin I.A., The contraction mapping principle in almost metric spaces, Funct. Anal., Gos. Ped. Inst. Unianowsk, 30(1989), 26-37.
• [6] Beg I., Abbas M., Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition, Fixed Point Theory and Applications, vol. 2006, Article ID 74503, 7 pages.
• [7] Bota M., Molnár A., Varga C., On Ekeland's variational principle in b-metric spaces, Fixed Point Theory, 12(2011), 21-28.
• [8] Boriceanu M., Petrusel A., Rus I.A., Fixed point theorems for some multivalued generalized contractions in b-metric spaces, Int. J. Math. Stat., 6(2010), 65-76.
• [9] Boriceanu M., Strict fixed point theorems for multivalued operators in b-metric spaces, Int. J. Mod. Math., 4(2009), 285-301.
• [10] Czerwik S., Nonlinear set valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fiz. Univ. Modena, 46(1998), 263-276.
• [11] Czerwik S., Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostrav, 1(1993), 5-11.
• [12] Fadail Z.M., Ahmad A.G.B., Coupled coincidence point and common coupled fixed point results in cone b-metric spaces, Fixed Point Theory and Applications, 2013, 2013:177, DOI:10.1186/1687-1812-2013-177, 15 pages.
• [13] Hadzic O., Common fixed point theorem for family of mappings in complete metric spaces, Math. Japon, 29(1984), 127-134.
• [14] Hussain N., Shah M.H., KKM mappings in cone b-metric spaces, Comput. Math. Appl., 62(2011), 1677-1684.
• [15] Huang H., Xu S., Fixed point theorems of contractive mappings in cone b-metric spaces and applications, Fixed Point Theory and Applications, 2013, 2013:112, DOI:10.1186/1687-1812-2013-112, 10 pages.
• [16] Hussain N., Saadati R., Agrawal R.P., On the topology and wt-distance on metric type spaces, Fixed Point Theory and Applications, 2014, 2014:88, 14 pages.
• [17] Ilić D., Rakočević V., Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341(2008), 876-882.
• [18] Ilić D., Rakočević V., Common fixed points for maps on metric space with w-distance, Appl. Math. Comput., 199(2008), 599-610.
• [19] Jungck G., Common fixed points for noncontinuous nonself maps on non-metric spaces, Far East J. Math. Sci., 4(1996), 199-215.
• [20] Kada O., Suzuki T., Takahashi W., Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japonica, 44(1996), 381-391.
• [21] Olaleru J.O., Some generalizations of fixed point theorems in cone metric spaces, Fixed Point Theory and Applications, vol. 2009, Article ID 657914, 10 pages.