BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 7 Sayı: 1, 25 - 32, 01.06.2017

Öz

Kaynakça

  • Aamri,A. and Moutawakil,D.El., (2002), Some new common fixed point theorems under strict con- tractive condition, J. Math. Anal. Appl., 270, 181-188.
  • Bisht,R.K. and Pant,R,P., (2012), Common fixed point theorems under a new continuity condition, Ann. Univ., Ferrara, 58 , 127-141.
  • Bisht,R.K. and Shahzad,N., (2013), Faintly compatible mappings and common fixed points, Fixed point theory and applications, 2013:156.
  • ´Ciri´c,L.B., (1974), Generalization of Banach contraction principle, Proc. Am. Math. Soc., 45(2), 267
  • Deepmala and Pathak,H.K., (2013), Common fixed points for hybrid strict contractions in symmetric spaces under relaxed conditions, Antarct. J. Math., 10(6), 579-588.
  • Jungck,G., (1986), Compatible mappings and common fixed points, Int. J. Math. and Math. Sci., (4), 771-779.
  • Jungck,G., (1996), Common fixed points for non continuous non-self maps on non-metric spaces, Far
  • East J. Math. Sci., 4 (2), 199-215. Mishra,V.N., Mittal,M.L. and Singh,U., (2006), On best approximation in locally convex space, Varah- mihir J. Math. Sci. India, 6(1), 43-48.
  • Mishra,L.N., Tiwari,S.K., Mishra,V.N. and Khan,I.A., (2015), Unique Fixed Point Theorems for Gen- eralized Contractive Mappings in Partial Metric Spaces, J. Function Spaces, Article ID 960827, 8 pages.
  • Mishra,L.N., Tiwari,S.K. and Mishra,V.N., (2015), Fixed point theorems for generalized weakly S- contractive mappings in partial metric spaces, J. Applied Anal. Computation, 5(4) , 600-612.
  • Pant,R.P., (1999), A common fixed point theorem under a new condition, Indian J. Pure and Applied Math., 30(2), 147-152.
  • Pant,R.P. and Bisht,R.K., (2012), Occasionally weakly compatible mappings and fixed points, Bull.
  • Belg. Math. Soc. Simon Stevin, 19 , 655-661. Pathak,H.K. and Deepmala, (2013), Common fixed point theorems for PD-operator pairs under Re- laxed conditions with applications, J. Comput. Appl. Math., 239 , 103-113.
  • Sastry,K.P.R. and Krishna Murthy,I.R.S., (2000), Common fixed points of two partially commuting tangential selfmaps on metric space, J. Math. Anal. Appl., 250, 731-734.
  • Singh,S.L. and Tomar,A., (2003), Weaker forms of commuting maps and existence of fixed points, J.
  • Korea Soc. Math, Educ. Ser. B Pure Appl. Math, 3, 145-161. Sintunavarat,W. and Kumam,P., (2011), Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, J. Appl. Math., Art. ID 637958, 14 pp.

COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR FAINTLY COMPATIBLE MAPS

Yıl 2017, Cilt: 7 Sayı: 1, 25 - 32, 01.06.2017

Öz

The paper is aimed to generalize and improve the results of Bisht and Shahzad [Faintly compatible mappings and common fi xed points, fi xed point theory and applications, 2013, 2013:156]. The signi cance of this paper lies in the fact that coincidence and common fixed point theorems under Ciric type contractive condition via faint compatibility and conditional reciprocal continuity is established without using continuity of even single map and containment requirement of the range space of involved maps. Illustrative examples are furnished to highlight the realized improvement of our results.

Kaynakça

  • Aamri,A. and Moutawakil,D.El., (2002), Some new common fixed point theorems under strict con- tractive condition, J. Math. Anal. Appl., 270, 181-188.
  • Bisht,R.K. and Pant,R,P., (2012), Common fixed point theorems under a new continuity condition, Ann. Univ., Ferrara, 58 , 127-141.
  • Bisht,R.K. and Shahzad,N., (2013), Faintly compatible mappings and common fixed points, Fixed point theory and applications, 2013:156.
  • ´Ciri´c,L.B., (1974), Generalization of Banach contraction principle, Proc. Am. Math. Soc., 45(2), 267
  • Deepmala and Pathak,H.K., (2013), Common fixed points for hybrid strict contractions in symmetric spaces under relaxed conditions, Antarct. J. Math., 10(6), 579-588.
  • Jungck,G., (1986), Compatible mappings and common fixed points, Int. J. Math. and Math. Sci., (4), 771-779.
  • Jungck,G., (1996), Common fixed points for non continuous non-self maps on non-metric spaces, Far
  • East J. Math. Sci., 4 (2), 199-215. Mishra,V.N., Mittal,M.L. and Singh,U., (2006), On best approximation in locally convex space, Varah- mihir J. Math. Sci. India, 6(1), 43-48.
  • Mishra,L.N., Tiwari,S.K., Mishra,V.N. and Khan,I.A., (2015), Unique Fixed Point Theorems for Gen- eralized Contractive Mappings in Partial Metric Spaces, J. Function Spaces, Article ID 960827, 8 pages.
  • Mishra,L.N., Tiwari,S.K. and Mishra,V.N., (2015), Fixed point theorems for generalized weakly S- contractive mappings in partial metric spaces, J. Applied Anal. Computation, 5(4) , 600-612.
  • Pant,R.P., (1999), A common fixed point theorem under a new condition, Indian J. Pure and Applied Math., 30(2), 147-152.
  • Pant,R.P. and Bisht,R.K., (2012), Occasionally weakly compatible mappings and fixed points, Bull.
  • Belg. Math. Soc. Simon Stevin, 19 , 655-661. Pathak,H.K. and Deepmala, (2013), Common fixed point theorems for PD-operator pairs under Re- laxed conditions with applications, J. Comput. Appl. Math., 239 , 103-113.
  • Sastry,K.P.R. and Krishna Murthy,I.R.S., (2000), Common fixed points of two partially commuting tangential selfmaps on metric space, J. Math. Anal. Appl., 250, 731-734.
  • Singh,S.L. and Tomar,A., (2003), Weaker forms of commuting maps and existence of fixed points, J.
  • Korea Soc. Math, Educ. Ser. B Pure Appl. Math, 3, 145-161. Sintunavarat,W. and Kumam,P., (2011), Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, J. Appl. Math., Art. ID 637958, 14 pp.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Anıta Tomar Bu kişi benim

S. Upadhyay Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 7 Sayı: 1

Kaynak Göster