Cite

[1] J. Andres and L. Górniewicz, On the Banach contraction principle for multivalued mappings, Approximation, Optimization and Mathematical Economics (M. Lassonde -ed.), Physica-Verlag, Heidelberg, (2001), 1-2310.1007/978-3-642-57592-1_1Search in Google Scholar

[2] Boriceanu M., Fixed point theory for multivalued generalized contraction on a set with two b-metrics, Stud. Univ.Babeş-Bolyai, 54 (3), (2009)Search in Google Scholar

[3] L.Ćirić, Fixed points for generalized multi-valued contractions, Mat. Vesnik., 9, (1972), 265–272Search in Google Scholar

[4] N.V. Dung and A. Petruşel, On iterated functions systems consisting of Kannan maps, Reich maps, Chatterjea type maps, and related results, J. Fixed Point Theory Appl., 9, (2017), 2271–228510.1007/s11784-017-0419-zSearch in Google Scholar

[5] G. Chifu and G. Petruşel, Fixed point results for multivalued Hardy-Rogers contractions in b-metric spaces, Filomat, 31 (8), (2017), 2499–250710.2298/FIL1708499CSearch in Google Scholar

[6] A.A. Harandi, Endpoints of set-valued contractions in metric spaces, Nonlinear Anal., 72, (2010), 132–13410.1016/j.na.2009.06.074Search in Google Scholar

[7] A.D. Rogers and G.E. Hardy, A generalization of fixed point theorem of Reich, Canad. Math. Bull., 16, (1973), 201–20810.4153/CMB-1973-036-0Search in Google Scholar

[8] N. Hussain, A.A. Harandi, and Y.J. Cho, Approximate endpoints for set-valued contractions in metric spaces, Fixed Point Theory Appl., 2010:614867, (2010), 1–1310.1155/2010/614867Search in Google Scholar

[9] J.R. Jachymski, Caristi’s fixed point theorem and selections of set-valued contractions, J. Math. Anal. Appl., 227, (1998), 55–6710.1006/jmaa.1998.6074Search in Google Scholar

[10] T.A. Lazăr, A. Petruşel, and N. Shahzad, Fixed points for non-self operators and domain invariance theorems, Nonlinear Anal., 70, (2009), 117–12510.1016/j.na.2007.11.037Search in Google Scholar

[11] T. Lazăr, D. O’Regan, and A. Petruşel, Fixed points and homotopy results for Ćirić-type multivalued operators on a set with two metrics, Bull. Korean Math. Soc., 45 (1), (2008), 67–7310.4134/BKMS.2008.45.1.067Search in Google Scholar

[12] T. Lazăr, G. Moţ, G. Petruşel, and S. Szentesi, The theory of Reich’s fixed point theorem for multivalued operators, Fixed Point Theory Appl., 10, (2010)10.1155/2010/178421Search in Google Scholar

[13] V.L. Lazăr, Fixed point theory for multivalued φ-contractions, Fixed Point Theory Appl., 50, (2011)10.1186/1687-1812-2011-50Search in Google Scholar

[14] S.B. Nadler Jr, Multi-valued contraction mappings, Pacific J. Math., 30, (1969), 475–48810.2140/pjm.1969.30.475Search in Google Scholar

[15] T.P. Petru, A. Petruşel, and J.C. Yao, Ulam-Hyers stability of operatorial equations and inclusions via nonself operators, Taiwanese J. Math., 15 (5), (2011), 2195–221210.11650/twjm/1500406430Search in Google Scholar

[16] A. Petruşel, Some variants of the contraction principle for multi-valued operators, generalizations and applications, to appearSearch in Google Scholar

[17] A. Petruşel,Ćirić type fixed point theorems, Stud. Univ. Babeş-Bolyai, 59 (2), (2014), 233–245Search in Google Scholar

[18] A. Petruşel and I.A. Rus, The theory of a metric fixed point theorem for multi-valued operators, Fixed Point Theory and its Applications, Proc. Ninth International Conference on Fixed Point Theory and Applications, Changhua, Taiwan, (L.J. Lin, A. Petruşel, H.K. Xu - Eds.), Yokohama Publ., (2010), 161–17510.1155/2010/178421Search in Google Scholar

[19] A. Petruşel, I.A. Rus, and J.C. Yao, Well-posedness in the generalized sense of the fixed point problems for multivalued operators, Taiwanese J. Math., 11 (3), (2007), 903–91410.11650/twjm/1500404764Search in Google Scholar

[20] A. Petruşel and G. Petruşel, Selection theorems for multivalued generalized contractions, Math. Morav., 9, (2005), 43–5210.5937/MatMor0509043PSearch in Google Scholar

[21] A. Petruşel, I.A. Rus, and M.A. Serban, Basic problems of the metric fixed point theory and the relevance of a metric fixed point theorem for a multivalued operator, J. Nonlinear Convex Anal., 15 (3), (2014), 493–513Search in Google Scholar

[22] B. Prasad and R. Sahni, Endpoints of multivalued contraction operators, ISRN Mathematical Anal., 2013, (2013), Article ID 542302, 7 pages10.1155/2013/542302Search in Google Scholar

[23] J.S. Raymond, Multivalued contractions, Set-Valued Anal., 2, (1994), 559–57110.1007/BF01033072Search in Google Scholar

[24] S. Reich, Fixed points of contractive functions, Boll. Un. Math. Ital., 4 (5), (1972), 26–42Search in Google Scholar

eISSN:
1841-3307
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics