Volume 67 | Issue 5 | Year 2021 | Article Id. IJMTT-V67I5P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I5P516
This paper deals with the brief introduction and some existing results in G-metric space as the usual notion of a metric space . In fact, this study generalizes some recent results in the literature about metric space. We also study some fixed point theorems for contraction mapping in the context of G-metric space as the further extension and generalization of metric space.
[1] A. Gupta (2014). Fixed points of a new type of contractive mappings in G-metric spaces, International Journal of Advances in Mathematics, 1(1): 56-61
[2] K.S. Ha, Y.J. Cho and A. White (1988). Strictly convex and strictly 2-convex 2-normed spaces, Mathematica Japoni-ka, 33(3): 375-384
[3] P.N.Dutta and B.S.Chaudhary (2008). A generalization of contraction principle in metric spaces, Journal of fixed point theory and Applications, (2008): 1-8
[4] R. Chauh , T.Kadian , A. Rani and B.E.Rhoods (2010). Property P in G-metric space, Fixed Point Theory and Applications, (2010): 1-12.
[5] S. Gahler (1963). 2-metrishce Ráume and ihre topologische struktur, Mathematisische Nachrichten, 26: 115-148.
[6] S.K. Mohanta (2012). Some fixed point theorem in G-mettric spaces, An.st. Univ. ovidius constanta, 20(1): 285-306
[7] S. V. R. Naidu ., K. P. R. Rao and N.S. Raw (2005), On the concept of balls in D-metric spaces, Journal of Mathematics and Mathematical Sciences, (1): 133-141.
[8] W. Shantanwi (2010). Fixed Points Theory for contractive mappings satisfying ∅-maps in G-metric spaces, Fixed point theory and Applications , (2010): 1-9
[9] Z. Mustafa (2005). A new structure for genralized metric spaces with applications to fixed point theory, The University of Newcastle, Callaghan. Aurtralia, (Ph.D. Thesis)
[10] Z. Mustafa and B. Sims (2006). A new approach to generalized metric, Journal of Nonlinear and Convex Analysis, 7(2): 289-297
[11] Z. Mustafa and B. Sims (2009), Fixed point theorems for contractive mappings in complete G-metric spaces , Fixed Point Theory and Applications, (2009): 1-12
[12] Z. Mustafa , H. Obiedat and F. Awawdeh (2008). Some fixed point theorems for mapping on complete G-metric spaces, Fixed point Theory and Applications, (2008): 1-12
[13] Z. Mustafa , W. Shanta and M. Bataineh (2009). Existence of fixed piont result in G-metric spaces, International Journal of Mathematics and Mathematical Sciences, (2009): 1-10
Samjhana Koirala, Narayan Prasad Pahari, "Some Results on Fixed Point Theory in G-metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 5, pp. 150-156, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I5P516