A general coincidence and common fixed point theorem for two hybrid pairs of mappings

• Autorzy: Popa V.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a general coincidence and common fixed points theorem for two hybrid pairs of mappings satisfying property (E.A) is proved, generalizing the main results from [3] and [9].

Słowa kluczowe

EN

metric space; hybrid mappings; implicit relation; coincidence point; fixed point

PL

przestrzeń metryczna; mapowanie hybrydowe; relacja uwikłana; punkt wspólny; punkt stały

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 4
• Strony: 971--978
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Popa V.

• "Vasile Alecsandri" University of Bacău, 157 Calea Mărăşeşti Bacău, 600115, Romania

Bibliografia

• [1] M. Aamri, D. El-Moutawakill, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181–188.
• [2] M. Berinde, V. Berinde, On a class of multi-valued weakly Picard mappings, Math. Anal. Appl. 326 (2007), 772–782.
• [3] A. M. Hashim, S. I. Abbas, Some fixed points for single-valued maps and multivalued maps with their continuity, Basrah. J. Sci. (A) 31(1) (2013), 76–86.
• [4] S. Itoh, W. Takahashi, Single valued mappings, multivalued mappings and fixed point theorems, J. Math. Anal. Appl. 59 (1997), 514–521.
• [5] G. Jungck, Compatible mappings and common fixed points, Int. J. Math. Math. Sci. 9 (1986), 771–779.
• [6] G. Jungck, Common fixed points for noncommuting nonself mappings on nonnumeric spaces, Far East J. Math. Sci. 42 (1996), 191–221.
• [7] G. Jungck, B. E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math. 29 (1998), 227–238.
• [8] T. Kamran, Coincidence and fixed points for hybrid contractions, J. Math. Anal. Appl. 229 (2004), 235–241.
• [9] T. Kamran, Hybrid maps and property pE:Aq, Appl. Math. Sci. 2(31) (2008), 1521–1528.
• [10] Y. Liu, J. Wu, Z. Li, Common fixed point results for single valued and multivalued maps, Int. J. Math. Math. Sci. 19 (2005), 3045–3055.
• [11] R. P. Pant, Common fixed point theorems for noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436–448.
• [12] R. P. Pant, Common fixed point theorems for noncontractive mappings, J. Math. Anal. Appl. 226 (1998), 251–258.
• [13] R. P. Pant, R-weak commutability and common fixed points for noncompatible mappings, Ganita 49 (1998), 19–27.
• [14] V. Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacau 7 (1997), 127–133.
• [15] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 33 (1999), 157–163.
• [16] V. Popa, A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation, Demonstratio Math. 1 (2000), 159–164.
• [17] V. Popa, Coincidence and fixed point theorems for noncontinuous hybrid contractions, Nonlinear Analysis Forum 7(2) (2002), 153–158.
• [18] S. Sessa, On weak commutativity conditions in fixed point considerations, Publ. Inst. Math. 32 (1982), 149–153.
• [19] S. L. Singh, S. N. Mishra, Coincidence and fixed points for nonself hybrid contractions, J. Math. Anal. Appl. 226 (2001), 486–497.
• [20] S. L. Singh, A. Kumar, Common fixed point theorems for contractive maps, Math. 58 (2006), 85–90.
• [21] W. Sintunavarat, P. Kumam, Coincidence and fixed points for hybrid strict contraction without the weakly commuting condition, Appl. Math. Lett. 22 (2009), 1877–1881.