ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS
Yıl 2016,
Cilt: 6 Sayı: 2, 224 - 231, 01.12.2016
Anita Tomar
- Giniswamy
C. Jeyanthi
Maheshwari P.g.
Öz
Coincidence and common fixed point of six self maps satisfying F-contractions are established via common limit in the range property without exploiting the notion of continuity or containment of range space of involved maps or completeness of space/subspace. Our results generalize, extend and improve the analogous recent results in literature.
Kaynakça
- Banach,S., (1922), Sur les operations dans les ensembles abstrait setl eur applications aux equations integrals, Fundam. Math., 3, pp. 133-181.
- Batra,R., Type http://dx.doi.org/10.12988/ijma.2014.45147. on Coincidence J. Math. Anal., 8(27), of Metric Spaces, Int. pp. 1315-1320
- Chatterjee,S.K., (1972), Fixed point theorems, Comptes Rendus de l’Academie Bulgare des Sciences, 25, pp. 727-730.
- ´Ciri´c,L.B., (1974), A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 45(2), pp. 267-273.
- Imdad,M., Pant,B.D. and Chauhan,S., (2012), Fixed point theorems in Menger spaces using the (CLRST) property and applications, J. Nonlinear Anal. Optim., 3(2), pp. 225-237.
- Cosentino,M. and Vetro,P., (2014), Fixed point results for F-contractive mappings of Hardy-Rogers- type, Filomat, 28(4), pp. 715-722, DOI: 10.2298/ FIL1404715C.
- Hardy,G.E. and Rogers,T.D., (1973), A generalization of a fixed point theorem of Reich, Canad. Math. Bull., 16, pp. 201-206.
- Jungck,G. and Rhoades,B.E., (1998), Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29, pp. 227-238.
- Kannan,R. , (1968), Some results on fixed points, Bulletin of Calcutta Mathematical Society, 60, pp. 71-76.
- Minak,G., Helvac,A. and Altun,I., (2014), ´Ciri´c type generalized F-contractions on complete metric spaces and fixed point results, Filomat, 28(6), pp. 1143-1151, DOI: 10.2298/FIL1406143M.
- Pant,R.P., (1998), Common fixed point theorems for contractive maps, J. Math. Anal. Appl., 226(1), pp. 251-258.
- Reich,S., (1971), Some remarks concerning contraction mappings, Canad. Math. Bull., 14, pp. 121-124.
- Sintunavarat,W. and Kumam,P., (2011), Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, J. Appl. Math., pp. 1-14, Article ID 637958.
- Wardowski,D.,(2012), Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory and Applications, 2012:94, 6 pages, DOI: 10.1186/1687-1812-2012-94.
- Wardowski,D. and Van.Dung,N., (2014), Fixed points of F-Weak contractions on complete metric spaces, Demonst. Math., 47(1), pp. 146-155.
Yıl 2016,
Cilt: 6 Sayı: 2, 224 - 231, 01.12.2016
Anita Tomar
- Giniswamy
C. Jeyanthi
Maheshwari P.g.
Kaynakça
- Banach,S., (1922), Sur les operations dans les ensembles abstrait setl eur applications aux equations integrals, Fundam. Math., 3, pp. 133-181.
- Batra,R., Type http://dx.doi.org/10.12988/ijma.2014.45147. on Coincidence J. Math. Anal., 8(27), of Metric Spaces, Int. pp. 1315-1320
- Chatterjee,S.K., (1972), Fixed point theorems, Comptes Rendus de l’Academie Bulgare des Sciences, 25, pp. 727-730.
- ´Ciri´c,L.B., (1974), A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 45(2), pp. 267-273.
- Imdad,M., Pant,B.D. and Chauhan,S., (2012), Fixed point theorems in Menger spaces using the (CLRST) property and applications, J. Nonlinear Anal. Optim., 3(2), pp. 225-237.
- Cosentino,M. and Vetro,P., (2014), Fixed point results for F-contractive mappings of Hardy-Rogers- type, Filomat, 28(4), pp. 715-722, DOI: 10.2298/ FIL1404715C.
- Hardy,G.E. and Rogers,T.D., (1973), A generalization of a fixed point theorem of Reich, Canad. Math. Bull., 16, pp. 201-206.
- Jungck,G. and Rhoades,B.E., (1998), Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29, pp. 227-238.
- Kannan,R. , (1968), Some results on fixed points, Bulletin of Calcutta Mathematical Society, 60, pp. 71-76.
- Minak,G., Helvac,A. and Altun,I., (2014), ´Ciri´c type generalized F-contractions on complete metric spaces and fixed point results, Filomat, 28(6), pp. 1143-1151, DOI: 10.2298/FIL1406143M.
- Pant,R.P., (1998), Common fixed point theorems for contractive maps, J. Math. Anal. Appl., 226(1), pp. 251-258.
- Reich,S., (1971), Some remarks concerning contraction mappings, Canad. Math. Bull., 14, pp. 121-124.
- Sintunavarat,W. and Kumam,P., (2011), Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, J. Appl. Math., pp. 1-14, Article ID 637958.
- Wardowski,D.,(2012), Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory and Applications, 2012:94, 6 pages, DOI: 10.1186/1687-1812-2012-94.
- Wardowski,D. and Van.Dung,N., (2014), Fixed points of F-Weak contractions on complete metric spaces, Demonst. Math., 47(1), pp. 146-155.