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BibTex RIS Kaynak Göster

Yıl 2017, Cilt: 5 Sayı: 1, 1 - 12, 01.01.2017

Dipankar Das Nilakshi Goswami Vandana Vandana

Öz

Kaynakça

  • M.Ackgoz, A review on 2-normed structures, Int. Journal of Math. Analysis, 1(2007), no.4, 187 - 191. MR2340939 (2008e:46012) Zbl 1132.46304.
  • F. F. Bonsal and J. Duncan, Complete Normed algebras, Springer-Verlag, Berlin Heidelberg New York, 1973.
  • Y.J.Cho, M.S.Khan and S.L.Sing, Common fixed points of weakly commuting mappings, Univ.u. Novom Sadu, Zb.Rad. Period.-Mat.Fak.Ser.Mat, 181(1988)129-142. MR1034710
  • D. Das, N. Goswami, Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces, IJIRSET, Vol.3, July 2014, No.7.
  • D. Das, N. Goswami, Fixed Points of Mapping Satisfying a Weakly Contractive Type Condition, Journal of Math. Res. with Appl., Vol 36(2016), No. 1 pp. 70-78.
  • Deepmala and H. K. Pathak, A study on some problems on existence of solutions for nonlinear functional-integral equations, Acta Mathematica Scientia, 33 B(5) (2013), 1305-1313.
  • Deepmala, A Study on Fixed Point Theorems for Nonlinear Contractions and its Applications, Ph.D. Thesis (2014), Pt. Ravishankar Shukla University, Raipur 492 010, Chhatisgarh, India.
  • Deepmala, L.N. Mishra, Differential operators over modules and rings as a path to the generalized differential geometry, FACTA UNIVERSITATIS (NI Š) Ser. Math. Inform. Vol. 30, No. 5 (2015), pp. 753-764.
  • S. Elumalai, R.Vijayaragavan, Characterizations of best approximations in linear 2-normed spaces, General Mathematics Vol. 17, No. 3 (2009), 141-160.
  • S. Gähler, Lineare 2-normierte Riume, Math. Nachr. 28 (1965), 1-43.
  • K. Iseki, Fixed point theorems in 2-metric space, Math.Seminar.Notes, Kobe Univ.,3(1975), 133 - 136. MR0405395.
  • M.S. Khan and M.D. Khan, Involutions with Fixed Points in 2-Banach Spaces, Internat. J. Math. and Math. Sci. VOL. 16 NO. 3 (1993) 429-434.
  • S. S. Kim and Y.J. Cho, Strict Convexity in linear n-normed spaces, Demonstratio Math. 29(1996), no. 4, 739-744.
  • İ. Kisi, S. Büyükkütük, Deepmala, G. Ozturk, AW(k)-type Curves According to Parallel Transport Frame in Euclidean Space E^4, FACTA UNIVERSITATIS (NIÅ ) Ser. Math. Inform. Vol. 31, No. 4 (2016).
  • Z. Liu, X. Zhang, J. Sheok Ume and S. Min Kang, Common fixed point theorems for four mappings satisfying ψ-weakly contractive conditions, Fixed Point Theory and Applications (2015), 1-22 .
  • R. Malčeski, Strong n-convex n-normed spaces, Mat. Bilten 21(1997), 81-102 MR 99m:46059.
  • A. Misiak, n-inner product spaces, Math. Nachr. 140 (1989), 299-319. MR 91a:46021.
  • L.N. Mishra, S.K. Tiwari, V.N. Mishra; Fixed point theorems for generalized weakly S-contractive mappings in partial metric spaces, Journal of Applied Analysis and Computation, Volume 5, Number 4, 2015, pp. 600-612. doi:10.11948/2015047
  • L.N. Mishra, On existence and behavior of solutions to some nonlinear integral equations with Applications, Ph.D. Thesis (2016), National Institute of Technology, Silchar 788 010, Assam, India.
  • L.N. Mishra, M. Sen, R.N. Mohapatra, On existence theorems for some generalized nonlinear functional-integral equations with applications, Filomat, accepted on March 21, 2016, in press.
  • L. N. Mishra, R. P. Agarwal, M. Sen, Solvability and asymptotic behavior for some nonlinear quadratic integral equation involving Erd e lyi-Kober fractional integrals on the unbounded interval, Progress in Fractional Differentiation and Applications Vol. 2, No. 3 (2016), 153-168.
  • L.N. Mishra, H.M. Srivastava, M. Sen, On existence results for some nonlinear functional-integral equations in Banach algebra with applications, Int. J. Anal. Appl., Vol. 11, No. 1, (2016), 1-10.
  • L.N. Mishra, M. Sen, On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order, Applied Mathematics and Computation Vol. 285, (2016), 174-183. DOI: 10.1016/j.amc.2016.03.002
  • L.N. Mishra, S.K. Tiwari, V.N. Mishra, I.A. Khan; Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces, Journal of Function Spaces, Volume 2015 (2015), Article ID 960827, 8 pages.
  • H.K. Pathak and Deepmala, Common fixed point theorems for PD-operator pairs under Relaxed conditions with applications, Journal of Computational and Applied Mathematics, 239 (2013), 103-113.
  • A. Raymond Ryan, Introduction to Tensor Product of Banach Spaces, London,Springer -Verlag,2002.
  • B.E. Rhoades, Contractive type mappings on a 2-metric space, Math.Nachr.,91(1979), 151 - 155. MR0563606.
  • M. Saha, D. Dey, A. Ganguly and L. Debnath, Fixed Point Theorems for a Class of Weakly C-Contractive Mappings in a Setting of 2-Banach Space, Journal of Mathematics, Volume 2013, Article ID 434205, 7 pages.
  • A. White, 2-Banach spaces, Math.Nachr., 42(1969), 43 - 60. MR0257716 (41 2365) Zbl 0185.20003.

Some fixed point theorems in 2-Banach spaces and 2-normed tensor product spaces

Yıl 2017, Cilt: 5 Sayı: 1, 1 - 12, 01.01.2017

Dipankar Das Nilakshi Goswami Vandana Vandana

Öz


Anahtar Kelimeler

2-Banach space fixed points

Kaynakça

  • M.Ackgoz, A review on 2-normed structures, Int. Journal of Math. Analysis, 1(2007), no.4, 187 - 191. MR2340939 (2008e:46012) Zbl 1132.46304.
  • F. F. Bonsal and J. Duncan, Complete Normed algebras, Springer-Verlag, Berlin Heidelberg New York, 1973.
  • Y.J.Cho, M.S.Khan and S.L.Sing, Common fixed points of weakly commuting mappings, Univ.u. Novom Sadu, Zb.Rad. Period.-Mat.Fak.Ser.Mat, 181(1988)129-142. MR1034710
  • D. Das, N. Goswami, Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces, IJIRSET, Vol.3, July 2014, No.7.
  • D. Das, N. Goswami, Fixed Points of Mapping Satisfying a Weakly Contractive Type Condition, Journal of Math. Res. with Appl., Vol 36(2016), No. 1 pp. 70-78.
  • Deepmala and H. K. Pathak, A study on some problems on existence of solutions for nonlinear functional-integral equations, Acta Mathematica Scientia, 33 B(5) (2013), 1305-1313.
  • Deepmala, A Study on Fixed Point Theorems for Nonlinear Contractions and its Applications, Ph.D. Thesis (2014), Pt. Ravishankar Shukla University, Raipur 492 010, Chhatisgarh, India.
  • Deepmala, L.N. Mishra, Differential operators over modules and rings as a path to the generalized differential geometry, FACTA UNIVERSITATIS (NI Š) Ser. Math. Inform. Vol. 30, No. 5 (2015), pp. 753-764.
  • S. Elumalai, R.Vijayaragavan, Characterizations of best approximations in linear 2-normed spaces, General Mathematics Vol. 17, No. 3 (2009), 141-160.
  • S. Gähler, Lineare 2-normierte Riume, Math. Nachr. 28 (1965), 1-43.
  • K. Iseki, Fixed point theorems in 2-metric space, Math.Seminar.Notes, Kobe Univ.,3(1975), 133 - 136. MR0405395.
  • M.S. Khan and M.D. Khan, Involutions with Fixed Points in 2-Banach Spaces, Internat. J. Math. and Math. Sci. VOL. 16 NO. 3 (1993) 429-434.
  • S. S. Kim and Y.J. Cho, Strict Convexity in linear n-normed spaces, Demonstratio Math. 29(1996), no. 4, 739-744.
  • İ. Kisi, S. Büyükkütük, Deepmala, G. Ozturk, AW(k)-type Curves According to Parallel Transport Frame in Euclidean Space E^4, FACTA UNIVERSITATIS (NIÅ ) Ser. Math. Inform. Vol. 31, No. 4 (2016).
  • Z. Liu, X. Zhang, J. Sheok Ume and S. Min Kang, Common fixed point theorems for four mappings satisfying ψ-weakly contractive conditions, Fixed Point Theory and Applications (2015), 1-22 .
  • R. Malčeski, Strong n-convex n-normed spaces, Mat. Bilten 21(1997), 81-102 MR 99m:46059.
  • A. Misiak, n-inner product spaces, Math. Nachr. 140 (1989), 299-319. MR 91a:46021.
  • L.N. Mishra, S.K. Tiwari, V.N. Mishra; Fixed point theorems for generalized weakly S-contractive mappings in partial metric spaces, Journal of Applied Analysis and Computation, Volume 5, Number 4, 2015, pp. 600-612. doi:10.11948/2015047
  • L.N. Mishra, On existence and behavior of solutions to some nonlinear integral equations with Applications, Ph.D. Thesis (2016), National Institute of Technology, Silchar 788 010, Assam, India.
  • L.N. Mishra, M. Sen, R.N. Mohapatra, On existence theorems for some generalized nonlinear functional-integral equations with applications, Filomat, accepted on March 21, 2016, in press.
  • L. N. Mishra, R. P. Agarwal, M. Sen, Solvability and asymptotic behavior for some nonlinear quadratic integral equation involving Erd e lyi-Kober fractional integrals on the unbounded interval, Progress in Fractional Differentiation and Applications Vol. 2, No. 3 (2016), 153-168.
  • L.N. Mishra, H.M. Srivastava, M. Sen, On existence results for some nonlinear functional-integral equations in Banach algebra with applications, Int. J. Anal. Appl., Vol. 11, No. 1, (2016), 1-10.
  • L.N. Mishra, M. Sen, On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order, Applied Mathematics and Computation Vol. 285, (2016), 174-183. DOI: 10.1016/j.amc.2016.03.002
  • L.N. Mishra, S.K. Tiwari, V.N. Mishra, I.A. Khan; Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces, Journal of Function Spaces, Volume 2015 (2015), Article ID 960827, 8 pages.
  • H.K. Pathak and Deepmala, Common fixed point theorems for PD-operator pairs under Relaxed conditions with applications, Journal of Computational and Applied Mathematics, 239 (2013), 103-113.
  • A. Raymond Ryan, Introduction to Tensor Product of Banach Spaces, London,Springer -Verlag,2002.
  • B.E. Rhoades, Contractive type mappings on a 2-metric space, Math.Nachr.,91(1979), 151 - 155. MR0563606.
  • M. Saha, D. Dey, A. Ganguly and L. Debnath, Fixed Point Theorems for a Class of Weakly C-Contractive Mappings in a Setting of 2-Banach Space, Journal of Mathematics, Volume 2013, Article ID 434205, 7 pages.
  • A. White, 2-Banach spaces, Math.Nachr., 42(1969), 43 - 60. MR0257716 (41 2365) Zbl 0185.20003.
Toplam 29 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Dipankar Das Bu kişi benim

Nilakshi Goswami Bu kişi benim

Vandana Vandana Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Das, D., Goswami, N., & Vandana, V. (2017). Some fixed point theorems in 2-Banach spaces and 2-normed tensor product spaces. New Trends in Mathematical Sciences, 5(1), 1-12.
AMA Das D, Goswami N, Vandana V. Some fixed point theorems in 2-Banach spaces and 2-normed tensor product spaces. New Trends in Mathematical Sciences. Ocak 2017;5(1):1-12.
Chicago Das, Dipankar, Nilakshi Goswami, ve Vandana Vandana. “Some Fixed Point Theorems in 2-Banach Spaces and 2-Normed Tensor Product Spaces”. New Trends in Mathematical Sciences 5, sy. 1 (Ocak 2017): 1-12.
EndNote Das D, Goswami N, Vandana V (01 Ocak 2017) Some fixed point theorems in 2-Banach spaces and 2-normed tensor product spaces. New Trends in Mathematical Sciences 5 1 1–12.
IEEE D. Das, N. Goswami, ve V. Vandana, “Some fixed point theorems in 2-Banach spaces and 2-normed tensor product spaces”, New Trends in Mathematical Sciences, c. 5, sy. 1, ss. 1–12, 2017.
ISNAD Das, Dipankar vd. “Some Fixed Point Theorems in 2-Banach Spaces and 2-Normed Tensor Product Spaces”. New Trends in Mathematical Sciences 5/1 (Ocak 2017), 1-12.
JAMA Das D, Goswami N, Vandana V. Some fixed point theorems in 2-Banach spaces and 2-normed tensor product spaces. New Trends in Mathematical Sciences. 2017;5:1–12.
MLA Das, Dipankar vd. “Some Fixed Point Theorems in 2-Banach Spaces and 2-Normed Tensor Product Spaces”. New Trends in Mathematical Sciences, c. 5, sy. 1, 2017, ss. 1-12.
Vancouver Das D, Goswami N, Vandana V. Some fixed point theorems in 2-Banach spaces and 2-normed tensor product spaces. New Trends in Mathematical Sciences. 2017;5(1):1-12.
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