Research Article
Peer ReviewedAt least two reviewers
Open Access
SOME COUPLED FIXED POINT THEOREMS FOR MAPPINGS IN PARTIALLY ORDERED G-METRIC SPACES BY USING A RATIONAL TYPE CONTRACTIVE CONDITION
1Amasya University
✉ Corresponding author: Nurcan Bilgili Güngör · bilgilinurcan@gmail.com
Proceedings 3rd International Symposium on Innovative Approaches in Scientific Studies (Engineering and Natural Sciences)
Volume 4 Pages 343–350 Year 2019
References
- Abbas, M, Rhoades, BE: Common fixed point results for noncommuting mappings without continuity in generalised metric spaces, Appl. Math. Comput. 215 (2009), 262-269.
- Abbas, M, Nazir, T, Radenovic, S: Some periodic point results in generalized metric spaces, Appl. Math. Comput. 217 (8) (2010), 4094-4099.
- Bhaskar, TG, Lakshmikantham, V: Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis: Theory, Methods and Applications 65 (7) (2006), 1379-1393.
- Chakrabarti, K: Fixed point theorems in G-metric spaces with W maps, Mathematical Sciences Letters, 2 (2013), 29-35.
- Chakrabarti, K: Coupled fixed point theorems with rational type contractive condition on a partially ordered Gmetric space, Journal of Math. Article ID 785457, 7 pages (2014).
- Chang, SS, Ma, YH: Coupled fixed point of mixed monotone condensing operators and existence theorem of the solution for a class of functional equations arising in dynamic programming, J. Math. Anal. Appl. 160 (1991),468-479.
- Chen, CM : Common fixed point theorems in complete generalized metric spaces, Journal of Applied Mathematics, vol. 2012, Article ID 945915, 14 pages, 2012.
- Choudhury, BS, Maity, P: Coupled fixed point results in generalized metric spaces, Math. Comput. Model. 54 (2011), 73-79.
- Chugh, R, Kadian, T, Rani, A, Rhoades, BE: Property P in G-metric spaces, Fixed Point Theory Appl. 2010, Article ID 401684, 12 (2010).
- Ciric, L, Olatinwo, MO, Gopal, D, Akinbo, G: Coupled fixed point theorems for mappings satisfying a contractive condition of rational type on a partially ordered metric space, Advances in Fixed Point Theory, 2 (1) (2012), 1-8.
- Harjani, J, Lopez, B, Sadarangani, K: A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially ordered metric spaces, Abstract and Applied Analysis, Volume (2010), Article ID 190701, 8 pages.
- Lakshmikantham, V, Ciric, L: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis: Theory, Methods and Applications, 70 (12) (2009), 4341-4349.
- Mustafa, Z, Sims, B: Some remarks concerning D-metric spaces, Proc Int. Conf. on Fixed Point Theor. Appl.,Valencia, Spain.(2003) 189-198.
- Mustafa, Z, Sims, B: A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2) (2006), 289-297.
- Mustafa, Z, Obiedat, H, Awawdeh, F: Some of fixed point theorem for mapping on complete G-metric spaces, Fixed Point Theory Appl., 2008, Article ID 189870, 12 (2008).
- Mustafa, Z, Shatanawi, W, Bataineh, M: Fixed point theorems on uncomplete G-metric spaces, J. Math. Stat. 4 (2008), 196-201.
- Mustafa, Z, Shatanawi, W, Bataineh, M: Existence of fixed point result in G-metric spaces, Int. J. Math. Sci, 2009, Article ID 283028, 10 (2009).
- Mustafa, Z, Sims, B: Fixed point theorems for contractive mappings in complete G-metric space. Fixed Point Theory Appl., 2009, Article ID 917175, 10 (2009).
- Saadati, R, Voezpour, SM, Vetro, P, Rhoades, BE: Fixed point theorems in generalized partially ordered G-metric spaces, Math. Comput. Model. 52 (2010), 797-801.