Some Fixed Point Theorems for Generalized Contractive Mappings in Complete 2 â€“ Metric Spaces
Keywords:Fixed Point, Ciric type contraction, JS type contraction, Complete2-metric space
In this paper we introduce new concepts of Ciric type and JS type â€“ contraction and established some fixed point theorems for such contraction in complete 2 â€“ metric spaces.
Kannan, R: Some results on ï¬xed points, Bull. Calcutta. Math. Soc., 60, pp.71-76. 1968
Baskaran. B and Rajesh. C, Fixed point theorems in complete 2 â€“ metric spaces by using a continuous control function, Global Journal of Pure and Applied Mathematics, vol. 12, no. 2, pp.25 â€“ 28, 2016
Baskaran. B and Rajesh. C, Some Results on Fixed points of Asymptotically Regular Mappings, International Journal of Mathematical Analysis, vol. 8, no. 50, pp.2469 â€“ 2474. 2014
Hussain, N, Parvaneh,V ,Samet,B, Vetro,C: Some ï¬xed point theorems for generalized contractive mappings in complete metric spaces. Fixed Point Theory Appl. 2015, 185, 2015
Reich,S: Some remarks concerning contraction mappings. Can.Math.Bull. 14, pp.121-124, 1971
Â´CiriÂ´c, L: Generalized contractions and ï¬xed-point theorems. Publ. Inst. Math. (Belgr.)12 (26), pp.19-26, 1971.
Â´CiriÂ´c, L: A generalization of Banachâ€™s contraction principle. Proc. Am. Math. Soc. 45(2), pp.267-273, 1974 .
Jleli,M, Samet,B:A new generalization of the Banach contraction principle J.Inequal. Appl. 2014, 38, 2014.
Aydi, H, Karapinar,E, Samet,B: Remarks on some recent ï¬xed point theorems. Fixed Point Theory Appl. 76 2012.
Aydi,H, Karapinar,E, Samet,B: Fixed points for generalized (Î±,Ïˆ)-contractions on generalized metric spaces. J.Inequal.Appl. 2014, 229, 2014
Shujun Jiang, Zhilong Li, BoÅ¡koDamjanoviÂ´c: A note on â€˜Some ï¬xed point theorems for generalized contractive mappings in complete metric spacesâ€™ Fixed Point Theory Appl. 62, 2016
Wardowski,D: Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl. 94, 2012.
Suzuki,T: A new type of ï¬xed point theorem in metric spaces. Nonlinear Anal. Theory Methods Appl. 71(11), pp.5313-5317, 2009
Hussain,N, ÃoriÂ´c, D, Kadelburg,Z ,RadenoviÂ´c,S: Suzuki-type ï¬xed point results in metric type spaces. Fixed Point Theory Appl. 126, 2012.
Jaggi,D S: Some unique ï¬xed point theorems. Indian J. Pure Appl. Math. 8(2), pp.223-230, 1977
Sehie Park, A uniï¬ed approach to ï¬xed points of contractive maps, J Korean Math. Soc. 16(2),,pp.95-105, 1980.
Rajesh. C and Baskaran. B, Generalization of common fixed point theorems for weakly commuting maps in complete 2 - metric spaces, Global Journal of Pure and Applied Mathematics, vol. 12, no. 2, pp.331 â€“ 335, 2016
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