Cite

[1] H.Aydi, M. Jellali, E. Karapınar, Common fixed points for generalized α-implicit contractions in partial metric spaces: Consequences and application, RACSAM - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matemiticas, September 2015, Volume 109, Issue 2, pp 367-38410.1007/s13398-014-0187-1Search in Google Scholar

[2] A. Amini-Harandi and H. Emami, A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations, Nonlinear Anal., 72, 2238–2242, (2010).10.1016/j.na.2009.10.023Search in Google Scholar

[3] V. Berinde, Contracţii generalizate şi aplicaţii, Editura Club Press 22, Baia Mare, 1997.Search in Google Scholar

[4] N. Bilgili, E. Karapınar, A note on “common fixed points for (ψ,α,β)-weakly contractive mappings in generalized metric spaces”, Fixed Point Theory Appl., 2013 (2013), Article ID 287.10.1186/1687-1812-2013-287Search in Google Scholar

[5] SH. Cho, JS. Bae, E. Karapinar, Fixed point theorems for α-Geraghty contraction type maps in metric spaces, Fixed Point Theory Appl. 2013, Article ID 329 (2013).10.1186/1687-1812-2013-329Search in Google Scholar

[6] B.S. Choudhury, N. Metiya, Fixed point and common fixed point results in ordered cone metric spaces, Analele Universitatii “Ovidius” Constanta-Seria Matematica, Volume 20, Issue 1, Pages 5572, ISSN (Online) 1844-0835, DOI: https://doi.org/10.2478/v10309-012-0005-8, 2012.10.2478/v10309-012-0005-82012Open DOISearch in Google Scholar

[7] J. Cringanu, D. Paşca, A fixed point method for a class of nonlinear equations involving a duality mapping defined on product spaces, Electronic Journal of Differential Equations, ISSN 1072-6691, 2013.Search in Google Scholar

[8] A. Fulga and A. Proca, A new Generalization of Wardowski Fixed Point Theorem in Complete Metric Spaces, Advances in the Theory of Nonlinear Analysis and its Applications, Volume 1, Issue 1, Pages: 57-63, Year: 2017, Article Id: 2017:5 PDF10.31197/atnaa.379119Search in Google Scholar

[9] T. Gnana Bhaskar and V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65, 1379–1393, (2006).10.1016/j.na.2005.10.017Search in Google Scholar

[10] J. Harjani and K. Sadarangani, Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Anal., 71, 3403–3410, (2009).10.1016/j.na.2009.01.240Search in Google Scholar

[11] E. Karapınar, P. Kuman, P. Salimi, On α−ψ-Meri-Keeler contractive mappings, Fixed Point Theory Appl. (2013), 2013:94.10.1186/1687-1812-2013-94Search in Google Scholar

[12] E. Karapınar and B. Samet. Generalized (α−ψ)-Contractive Type Mappings and Related Fixed Point Theorems with Applications Abstract and Applied Analysis Volume 2012 (2012), Article ID 793486, 17 pages10.1155/2012/793486Search in Google Scholar

[13] E. Karapınar, Fixed point theory for cyclic weak ϕ-contraction, Appl. Math. Lett. 24 (6) (2011) 822–825.10.1186/1687-1812-2011-69Search in Google Scholar

[14] E. Karapınar, K. Sadaranagni, Fixed point theory for cyclic (ϕ-ψ)-contractions, Fixed Point Theory Appl. 2011, 2011:69.10.1186/1687-1812-2011-69Search in Google Scholar

[15] E. Karapinar, I. M, Erhan and U. Aksoy Weak-contractions on partially ordered metric spaces and applications to boundary value problems Boundary Value Problems, 2014, 2014:149 https://doi.org/10.1186/s13661-014-0149-810.1186/s13661-014-0149-8Open DOISearch in Google Scholar

[16] E. Karapınar, H.H. Alsulami and M. Noorwali, Some extensions for Geraghty type contractive mappings Journal of Inequalities and Applications 2015, 2015:303 (26 September 2015)10.1186/s13660-015-0830-1Search in Google Scholar

[17] W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory. 4(1) (2003) 79–89.Search in Google Scholar

[18] J.J. Nieto, R. Rodríguez-López, Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations. Order. 22 (2005) 223–239.Search in Google Scholar

[19] J. J. Nieto and R. R. Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order, 22, 223–239, (2005).10.1007/s11083-005-9018-5Search in Google Scholar

[20] J. J. Nieto, R. L. Pouso, and R. Rodrguez-Lpez, Fixed point theorems in ordered abstract spaces, Proc. of the American Math. Soc., 135, 2505–2517, (2007).10.1090/S0002-9939-07-08729-1Search in Google Scholar

[21] T. P. Petru, A. Petruşel and J.-C. Yao, Ulam-Hyers stability for operatorial equations and inclusions via nonself operators, Taiwanese Journal of Mathematics, Vol. 15, No. 5, pp. 2195-2212, October 2011.10.11650/twjm/1500406430Search in Google Scholar

[22] O. Popescu, Some new fixed point theorems for α-Geraghty contractive type maps in metric spaces, Fixed Point Theory Appl. 2014, 2014:19010.1186/1687-1812-2014-190Search in Google Scholar

[23] S. Radenović, Z. Kadelburg, D. Jandrlić and A. Jandrlić, Some results on weak contraction maps, Bulletin of the Iranian Mathematical Society Vol. 38 No. 3 (2012), pp 625-645.Search in Google Scholar

[24] A.C.M. Ran, M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132 (2003) 1435–1443.10.1090/S0002-9939-03-07220-4Search in Google Scholar

[25] I. A. Rus, Generalized contractions and applications, Cluj University Press, Cluj-Napoca, 2001.Search in Google Scholar

[26] I.A. Rus, Cyclic representations and fixed points, Ann. T. Popoviciu, Seminar Funct. Eq. Approx. Convexity 3(2005) 171–178.Search in Google Scholar

[27] I. A. Rus, The theory of a metrical fixed point theorem: theoretical and applicative relevances, Fixed Point Theory, 9(2008), No. 2, 541-559.Search in Google Scholar

[28] I. A. Rus, Remarks on Ulam stability of the operatorial equations, Fixed Point Theory, 10(2009), No. 2, 305-320.Search in Google Scholar

[29] B. Samet, C. Vetro, P. Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis 75 (2012), 2154-2165.10.1016/j.na.2011.10.014Search in Google Scholar

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