C-class functions and remarks on fixed points of weakly compatible mappings in G-metric spaces satisfying common limit range property
Authors: Ansari A.H., Dolićanin Dekić D., Gu F., Popović B.Z.
Keywords: generalized metric space; common fixed point; generalized weakly G-contraction; weakly compatible mappings
Abstract:
In this paper, using the contexts of C-class functions and common limit range property, common fixed point result for some operators are obtained.
References:
[1] Abbas, M., Jungck, G. (2008) Common fixed point results for non-commuting mappings without continuity in cone metric spaces. J Math. Anal. Appl., 341, 416-420
[2] Abbas, M., Nazir, T., RADENOVIć, S. (2012) Common fixed point of generalized weakly contractive maps in partially ordered G-metric spaces. Appl. Math. Comput, 218 (18); 9383-9395
[3] Abbas, M., RHOADES, B.E. (2009) Common fixed point results for noncommuting mappings without continuity in generalized metric spaces. Appl. Math. Comput, 215 (1); 262-269
[4] Abbas, M., Nazir, T., Djorić, D. (2012) Common fixed point of mappings satisfying (E: A) property in generalized metric spaces. Appl. Math. Comput, 218 (14); 7665-7670
[5] Abbas, M., Khan, S., Nazir, T. (2011) Common fixed points of R-weakly commuting maps in generalized metric spaces. Fixed Point Theory and Applications, 2011(1): 41
[6] Ansari, A.H. (2014) Note on φ-ψ-contractive type mappings and related fixed point. u: The 2nd Regional Conference on Mathematics and Applications, PNU, September, 77-380
[7] Aydi, H. (2012) A common fixed point of integral type contraction in generalized metric spaces. J Adv. Math. Stud., 5 (1); 111-117
[8] Aydi, H., Chauhan, S., Radenović, S. (2013) Fixed points of weakly compatible mappings in G-metric spaces satisfying common limit range property. Facta universitatis – series: Mathematics and Informatics, vol. 28, br. 2, str. 197-210
[9] Branciari, A. (2002) A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci., 29 (9); 531-536
[10] Gu, F., Yin, Y. (2013) Common Fixed Point for Three Pairs of Self-Maps Satisfying Common ( E.A ) Property in Generalized Metric Spaces. Abstract and Applied Analysis, 2013: 1-11
[11] Gu, F. (2012) Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces. Abstract and Applied Analysis, 2012: 1-21
[12] Gu, F., Shatanawi, W. (2013) Common fixed point for generalized weakly G-contraction mappings satisfying common (E.A) property in G-metric spaces. Fixed Point Theory and Applications, 2013(1): 309
[13] Kadelburg, Z., Našine, H.K., Radenović, S. (2012) Common coupled fixed point results in partially ordered G-metric spaces. Bulletin of Mathematical Analysis and Applications, Volume 4, Issue 2, Pages 51-63
[14] Kaewcharoen, A. (2012) Common fixed points for four mappings in G-metric spaces. Int. J. Math. Anal., 6 (47); 2345-2356
[15] Khan, M.S., Swaleh, M., Sessa, S. (1984) Fixed point theorems by altering distances between the points. Bull. Aust. Math. Soc., 1-9; 30
[16] Long, W., Abbas, M., Nazir, T., Radenović, S. (2012) Common Fixed Point for Two Pairs of Mappings Satisfying (E.A) Property in Generalized Metric Spaces. Abstract and Applied Analysis, 2012: 1-15
[17] Mustafa, Z., SIMS, B.A. (2006) A new approach to generalized metric spaces. J Nonlinear Convex Anal., 7 (2); 289-297
[18] Mustafa, Z., Obiedat, H., Awawdeh, F. (2008) Some common fixed point theorem for mapping on complete G− metric spaces. Fixed Point Theory and Applications, vol. 2008, Article ID 189870
[19] Mustafa, Z., Sims, B. (2009) Fixed point theorems for contractive mappings in complete G−metric spaces. Fixed Point Theory and Applications, vol. 2009, Article ID 917175
[20] Mustafa, Z., Khandagji, M., Shatanawi, W. (2011) Fixed point results on complete G-metric spaces. Stud. Sci. Math. Hung., 48 (3); 304-319
[21] Mustafa, Z. (2012) Common fixed points of weakly compatible mappings in G-metric spaces. Appl Math. Sci., 6 (92); 4589-4600
[22] Mustafa, Z., Aydi, H., Karapinar, E. (2012) On common fixed points in G-metric spaces using (E:A) property. Comput. Math. Appl, 64 (6), 1944-1956
[23] Mustafa, Z. (2012) Some New Common Fixed Point Theorems under Strict Contractive Conditions in G -Metric Spaces. Journal of Applied Mathematics, 2012: 1-21
[24] Mustafa, Z., Shatanawi, W., Bataineh, M. (2009) Existence of Fixed Point Results in -Metric Spaces. International Journal of Mathematics and Mathematical Sciences, 2009: 1-10
[25] Popa, V., Patriciu, A-M. (2012) A general fixed point theorem for pairs of weakly compatible mappings in G-metric spaces. J Nonlinear Sci. Appl., 5 (2): 151-160
[26] Radenović, S., Pantelić, S., Salimi, P., Vujaković, J.A. (2012) note on some tripled coincidence point results in G-metric spaces. International J. of Math. Sci and Engg. Appls, (IJMSEA), Vol. 6 No. VI (November), pp. 23-38
[27] Radenović, S. (2013) Remarks on Some Recent Coupled Coincidence Point Results in Symmetric G -Metric Spaces. Journal of Operators, 2013: 1-8
[28] Shatanawi, W., Chauhan, S., Postolache, M., Abbas, M., RADENOVIć, S. (2013) Common fixed points for contractive mappings of integral type in G-metric spaces. J Adv. Math. Stud., 6 (1); 53-72
[29] Sintunavarat, W., Kumam, P. (2011) Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces. Journal of Applied Mathematics, 2011: 1-14
[30] Ye, H., Gu, F. (2012) Common Fixed Point Theorems for a Class of Twice Power Type Contraction Maps in G -Metric Spaces. Abstract and Applied Analysis, 2012: 1-19
[31] Yin, Y., Gu, F. (2012) Common fixed point theorem about four mappings in G-metric spaces. J Hangzhou Normal Univ. (Natural Science Edition), 11 (6); 511-515