Existence of fixed point theorems of contractive mappings in complete generalized metric spaces

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Abstract

In this paper we prove some fixed point theorems for contractive mappings in complete G – Metric Spaces.

Keywords:

Complete Generalized Metric Spaces, Contractive Mapping, Fixed Point Theorems

Mathematics Subject Classification:

Mathematics
  • Pages: 79-82
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, $7(2)(2006), 289-297$.

Zead Mustafa, Fixed Point Theorems for Contractive Mappings in Complete G-Metric Spaces, Fixed Point Theory and Applications, 2009.

Z. Mustafa and B. Sims, Some remarks concerning Dmetric spaces, Proceedings of the International Conference on Fixed Point Theory and Applications, Valencia, Spain, (2004), 189-198.

K. S. Ha, Y. J. Cho and A. White, Strictly convex and strictly 2-convex 2-normed spaces, Mathematica Japonica, 33(3)(1988), 375-384.

B. C. Dhage, Generalised metric spaces and mappings with fixed point, Bulletin of the Calcutta Mathematical Society, 84(4)(1992), 329-336.

S. Gahler, G2-metrische Raume und ihre topologische Struktur, Mathematische Nachrichten, 26(1-4)(1963), $115-148$.

S.. Gahler, Zur geometric 2-metriche raume, Revue Roumaine deMathematiques Pures et Appliquees, 11(1966), 665-667.

B. C. Dhage, Generalized metric spaces and topological structure. I, Analele $S$, tiint, ifice ale Universit at ii Al. I. Cuza din Ias, i. Serie Noua. Matematica, 46(1)(2000), 3-24.

S. Manro, S. S. Bhatia, and S. Kumar, Expansion mapping theorems in G-metric spaces, International Journal of Contemporary Mathematical Sciences, 51(5)(2010), $2529-2535$.

M. Abbas, T. Nazir and S. Radenovic, Some periodic point results in generalized metric spaces, Applied Mathematics and Computation, 217(8)(2010), 4094-4099.

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Published

01-01-2021

How to Cite

K.Dinesh, R. Krishnakumar, and Nagaral Pandit Sanatammappa. “Existence of Fixed Point Theorems of Contractive Mappings in Complete Generalized Metric Spaces”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 79-82, https://www.malayajournal.org/index.php/mjm/article/view/974.