[[1] Abbas, M., Ali, B., Petruşel, G., Fixed points of set-valued contractions in partial metric spaces endowed with a graph. Carpathian J. Math. 30 (2014), no. 2, 129-137.]Search in Google Scholar
[[2] Agarwal, R.P., El-Gebeily, M.A. and O'Regan, D., Generalized contrac- tions in partially ordered metric spaces, Appl. Anal. 87 (2008) 1-810.1080/00036810701714164]Search in Google Scholar
[[3] Alghamdi, Maryam A., Berinde, V. and Shahzad, N., Fixed points of multi-valued non-self almost contractions, J. Appl. Math. Volume 2013, Article ID 621614, 6 pages10.1155/2013/621614]Search in Google Scholar
[[4] Alghamdi, Maryam A., Berinde, V. and Shahzad, N., Fixed points of non-self almost contractions, Carpathian J. Math. 33 (2014), No. 1, 1-8]Search in Google Scholar
[[5] Ariza-Ruiz, D., Jimfienez-Melado, A., A continuation method for weakly Kannan maps. Fixed Point Theory Appl. 2010, Art. ID 321594, 12 pp.10.1155/2010/321594]Search in Google Scholar
[[6] Assad, N. A. On a fixed point theorem of Isfieki, Tamkang J. Math. 7 (1976), no. 1, 19-22]Search in Google Scholar
[[7] Assad, N. A. On a fixed point theorem of Kannan in Banach spaces, Tamkang J. Math. 7 (1976), no. 1, 91-94]Search in Google Scholar
[[8] Assad, N. A., On some nonself nonlinear contractions, Math. Japon. 33 (1988), no. 1, 17-26]Search in Google Scholar
[[9] Assad, N. A., On some nonself mappings in Banach spaces, Math. Japon. 33 (1988), no. 4, 501-515]Search in Google Scholar
[[10] Assad, N. A., Approximation for fixed points of multivalued contractive mappings, Math. Nachr. 139 (1988), 207-21310.1002/mana.19881390119]Search in Google Scholar
[[11] Assad, N. A., A fixed point theorem in Banach space, Publ. Inst. Math. (Beograd) (N.S.) 47(61) (1990), 137-140]Search in Google Scholar
[[12] Assad, N. A., A fixed point theorem for some non-self-mappings, Tamkang J. Math. 21 (1990), no. 4, 387-393]Search in Google Scholar
[[13] Assad, N. A. and Kirk, W. A., Fixed point theorems for set-valued map- pings of contractive type, Pacific J. Math. 43 (1972), 553-562 10.2140/pjm.1972.43.553]Search in Google Scholar
[[14] Assad, N. A. Sessa, S., Common fixed points for nonself compatible maps on compacta, Southeast Asian Bull. Math. 16 (1992), No.2, 91-95]Search in Google Scholar
[[15] Balog, L., Berinde, V., Fixed point theorems for nonself Kannan type contractions in Banach spaces endowed with a graph, Carpathian J. Math. 32 (2016), no. 3 (in press).10.37193/CJM.2016.03.05]Search in Google Scholar
[[16] Berinde, V., A common fixed point theorem for nonself mappings. Miskolc Math. Notes 5 (2004), no. 2, 137-144]Search in Google Scholar
[[17] Berinde, V., Approximation of fixed points of some nonself generalized fi-contractions. Math. Balkanica (N.S.) 18 (2004), no. 1-2, 85-93]Search in Google Scholar
[[18] Berinde, V., Iterative Approximation of Fixed Points, 2nd Ed., Springer Verlag, Berlin Heidelberg New York, 200710.1109/SYNASC.2007.49]Search in Google Scholar
[[19] Berinde, V., Păcurar, Mfiadfialina, Fixed point theorems for nonself single- valued almost contractions, Fixed Point Theory, 14 (2013), No. 2, 301-312]Search in Google Scholar
[[20] Berinde, V., Păcurar, Mfiadfialina, The contraction principle for nonself mappings on Banach spaces endowed with a graph, J. Nonlinear Convex Anal. 16 (2015), no. 9, 1925-1936.]Search in Google Scholar
[[21] Berinde, V., Păcurar, M., A constructive approach to coupled fixed point theorems in metric spaces, Carpathian J. Math. 31 (2015), no. 3, 277-287.]Search in Google Scholar
[[22] Berinde, V., Petric, M. A., Fixed point theorems for cyclic non-self single- valued almost contractions, Carpathian J. Math. 31 (2015), no. 3, 289-296.]Search in Google Scholar
[[23] Bojor F., Fixed point of '-contraction in metric spaces endowed with a graph, Ann. Univ. Craiova, Math. Comput. Sci. Ser., 37 (2010), no. 4, 85-92.]Search in Google Scholar
[[24] Bojor, F., Fixed points of Bianchini mappings in metric spaces endowed with a graph, Carpathian J. Math. 28 (2012), no. 2, 207-214]Search in Google Scholar
[[25] Bojor, F., Fixed points of Kannan mappings in metric spaces endowed with a graph, An. Stiint. Univ. "Ovidius" Constanta Ser. Mat. 20 (2012), no. 1, 31-40]Search in Google Scholar
[[26] Bojor, F., Fixed point theorems for Reich type contractions on metric spaces with a graph, Nonlinear Anal. 75 (2012), no. 9, 3895-3901]Search in Google Scholar
[[27] Bojor, F., Fixed point theorems in in metric spaces endowed with a graph (in Romanian), PhD Thesis, North University of Baia Mare, 201210.1186/1687-1812-2012-161]Search in Google Scholar
[[28] Caristi, J., Fixed point theorems for mappings satisfying inwardness con- ditions, Trans. Amer. Math. Soc. 215 (1976), 241-25110.1090/S0002-9947-1976-0394329-4]Search in Google Scholar
[[29] Caristi, J., Fixed point theory and inwardness conditions. Applied nonlinear analysis (Proc. Third Internat. Conf., Univ. Texas, Arlington, Tex., 1978), pp. 479-483, Academic Press, New York-London, 1979.10.1016/B978-0-12-434180-7.50047-4]Search in Google Scholar
[[30] Chatterjea, S.K., Fixed-point theorems, C.R. Acad. Bulgare Sci. 25 (1972) 727-730]Search in Google Scholar
[[31] Chifu, C. Petruşel, Gabriela., Generalized contractions in metric spaces endowed with a graph, Fixed Point Theory Appl. 2012, 2012:161, 9 pp.10.1186/1687-1812-2012-161]Open DOISearch in Google Scholar
[[32] Cho, S.-H., A fixed point theorem for a fi Cirific-Berinde type mapping in orbitally complete metric spaces. Carpathian J. Math. 30 (2014), no. 1, 63-70.]Search in Google Scholar
[[33] Choudhury, B. S, Das, K., Bhandari, S. K., Cyclic contraction of Kan- nan type mappings in generalized Menger space using a control function. Azerb. J. Math. 2 (2012), no. 2, 43-55.]Search in Google Scholar
[[34] Ćirifić, Lj. B., A remark on Rhoades' fixed point theorem for non-self map- pings, Internat. J. Math. Math. Sci. 16 (1993), no. 2, 397-400 10.1155/S016117129300047X]Open DOISearch in Google Scholar
[[35] Ćirifić, Lj. B., Quasi contraction non-self mappings on Banach spaces, Bull. Cl. Sci. Math. Nat. Sci. Math. No. 23 (1998), 25-31]Search in Google Scholar
[[36] Ćirifić, Lj. B., Ume, J. S., Khan, M. S. and Pathak, H. K., On some nonself mappings, Math. Nachr. 251 (2003), 28-3310.1002/mana.200310028]Search in Google Scholar
[[37] Eisenfeld, J. and Lakshmikantham, V., Fixed point theorems on closed sets through abstract cones. Appl. Math. Comput. 3 (1977), no. 2, 155-167.]Search in Google Scholar
[[38] Filip, A.-D., Fixed point theorems for multivalued contractions in Kasa- hara spaces. Carpathian J. Math. 31 (2015), no. 2, 189-196.]Search in Google Scholar
[[39] Gabeleh, M., Existence and uniqueness results for best proximity points. Miskolc Math. Notes 16 (2015), no. 1, 123-131.]Search in Google Scholar
[[40] Hussain, N.; Salimi, P.; Vetro, P., Fixed points for fi- -Suzuki contrac- tions with applications to integral equations. Carpathian J. Math. 30 (2014), no. 2, 197-207.]Search in Google Scholar
[[41] Jachymski, J., The contraction principle for mappings on a metric space with a graph, Proc. Amer. Math. Soc. 136 (2008), no. 4, 1359-1373]Search in Google Scholar
[[42] Kannan, R., Some results on fixed points, Bull. Calcutta Math. Soc. 10 (1968) 71-76]Search in Google Scholar
[[43] Kikkawa, M., Suzuki, T., Some similarity between contractions and Kan- nan mappings. II. Bull. Kyushu Inst. Technol. Pure Appl. Math. No. 55 (2008), 1-13.]Search in Google Scholar
[[44] Kikkawa, M., Suzuki, T., Some similarity between contractions and Kan- nan mappings. Fixed Point Theory Appl. 2008, Art. ID 649749, 8 pp.10.1155/2008/649749]Search in Google Scholar
[[45] Kirk W.A., Srinivasan P.S. and Veeramani P., Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003), no. 1, 79-89]Search in Google Scholar
[[46] Meszaros, J., A comparison of various definitions of contractive type map- pings, Bull. Calcutta Math. Soc. 84 (2) (1992) 167-194]Search in Google Scholar
[[47] Nicolae, Adriana, O'Regan, D. and Petruşel, A., Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph, Georgian Math. J. 18 (2011), no. 2, 307-327]Search in Google Scholar
[[48] Nieto, J. J., Rodriguez-Lopez, R., Contractive mapping theorems in par- tially ordered sets and applications to ordinary difierential equations, Order 22 (2005), no. 3, 223-239 (2006)10.1007/s11083-005-9018-5]Open DOISearch in Google Scholar
[[49] Nieto, J. J., Rodriguez-Lopez, R., Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary difierential equa- tions, Acta. Math. Sin., (Engl. Ser.) 23(2007), no. 12, 2205-221210.1007/s10114-005-0769-0]Open DOISearch in Google Scholar
[[50] Panja, C., Samanta, S. K., On determination of a common fixed point. Indian J. Pure Appl. Math. 11 (1980), no. 1, 120-127.]Search in Google Scholar
[[51] Nieto, Juan J.; Pouso, Rodrigo L.; Rodriguez-Lopez, Rosana, Fixed point theorems in ordered abstract spaces, Proc. Amer. Math. Soc. 135 (2007), no. 8, 2505-2517]Search in Google Scholar
[[52] Păcurar, M., Approximating common fixed points of Prefisific-Kannan type operators by a multi-step iterative method, An. Sfitiintfi,. Univ. "Ovidius" Constantfia Ser. Mat. 17 (2009), no. 1, 153-168]Search in Google Scholar
[[53] Păcurar, M., Iterative Methods for Fixed Point Approximation, Risoprint, Cluj-Napoca, 2010 ]Search in Google Scholar
[[54] Păcurar, M., A multi-step iterative method for approximating fixed points of Prefisific-Kannan operators, Acta Math. Univ. Comen. New Ser., 79 (2010), No. 1, 77-88]Search in Google Scholar
[[55] Păcurar, M., A multi-step iterative method for approximating common fixed points of Prefisific-Rus type operators on metric spaces, Stud. Univ. Babefis-Bolyai Math. 55 (2010), no. 1, 149-162.]Search in Google Scholar
[[56] Păcurar, M., Fixed points of almost Prefisific operators by a k-step iterative method, An. Sfitiint,. Univ. Al. I. Cuza Iafisi, Ser. Noua, Mat. 57 (2011), Supliment 199-210 10.2478/v10157-011-0014-3]Search in Google Scholar
[[57] Petric, M., Some results concerning cyclical contractive mappings, Gen. Math. 18 (2010), no. 4, 213-226]Search in Google Scholar
[[58] Petric, M., Best proximity point theorems for weak cyclic Kannan con- tractions, Filomat 25 (2011), no. 1, 145-154]Search in Google Scholar
[[59] Petruşel, Adrian; Rus, Ioan A., Fixed point theorems in ordered L-spaces, Proc. Amer. Math. Soc. 134 (2006), no. 2, 411-418]Search in Google Scholar
[[60] Ran, A. C. M., Reurings, M. C. B., A fixed point theorem in partially or- dered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132 (2004), no. 5, 1435-1443]Search in Google Scholar
[[61] Rhoades, B. E., A comparison of various definitions of contractive map- pings, Trans. Amer. Math. Soc. 226 (1977) 257-29010.1090/S0002-9947-1977-0433430-4]Search in Google Scholar
[[62] Rhoades, B. E., A fixed point theorem for some non-self-mappings, Math. Japon. 23 (1978/79), no. 4, 457-459]Search in Google Scholar
[[63] Rhoades, B. E., Contractive definitions revisited, Contemporary Mathematics 21 (1983) 189-20510.1090/conm/021/729516]Search in Google Scholar
[[64] Rhoades, B. E., Contractive definitions and continuity, Contemporary Mathematics 72 (1988) 233-24510.1090/conm/072/956495]Search in Google Scholar
[[65] Rus, I. A., Principles and Applications of the Fixed Point Theory (in Romanian), Editura Dacia, Cluj-Napoca, 1979]Search in Google Scholar
[[66] Rus, I. A., Generalized contractions, Seminar on Fixed Point Theory 3(1983) 1-130]Search in Google Scholar
[[67] Rus, I. A., Generalized Contractions and Applications, Cluj University Press, Cluj-Napoca, 2001]Search in Google Scholar
[[68] Rus, I. A., Picard operators and applications, Sci. Math. Jpn. 58 (2003), No. 1, 191-219]Search in Google Scholar
[[69] Rus, I. A., Private communication (2015)]Search in Google Scholar
[[70] Rus, I. A., Petruşel, A. and Petruşel, G., Fixed Point Theory, Cluj University Press, Cluj-Napoca, 2008]Search in Google Scholar
[[71] Samanta, S. K., Fixed point theorems for non-self-mappings. Indian J. Pure Appl. Math. 15 (1984), no. 3, 221-232.]Search in Google Scholar
[[72] Samanta, S. K., Fixed point theorems for Kannan maps in a metric space with some convexity structure. Bull. Calcutta Math. Soc. 80 (1988), no. 1, 58-64.]Search in Google Scholar
[[73] Samanta, C., Samanta, S. K., Fixed point theorems for multivalued non- self mappings. Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 22 (1992), no. 1, 11-22.]Search in Google Scholar
[[74] Shukla, S., Abbas, M., Fixed point results of cyclic contractions in product spaces. Carpathian J. Math. 31 (2015), no. 1, 119-126.]Search in Google Scholar
[[75] Sun, Y. I., Su, Y. F., Zhang, J. L., A new method for the research of best proximity point theorems of nonlinear mappings. Fixed Point Theory Appl. 2014, 2014:116, 18 pp.10.1186/1687-1812-2014-116]Open DOISearch in Google Scholar
[[76] Ume, J. S., Fixed point theorems for Kannan-type maps. Fixed Point Theory Appl. 2015, 2015:38, 13 pp.10.1186/s13663-015-0286-5]Search in Google Scholar
[[77] Zhang, J. L., Su, Y. F., Best proximity point theorems for weakly contrac- tive mapping and weakly Kannan mapping in partial metric spaces. Fixed Point Theory Appl. 2014, 2014:50, 8 pp.10.1186/1687-1812-2014-50]Search in Google Scholar