%0 Journal Article %T The concept of weak (\(\psi,\alpha,\beta\)) contractions in partially ordered metric spaces %A Kir, Mehmet %A Kiziltunc, Hukmi %J Journal of Nonlinear Sciences and Applications %D 2015 %V 8 %N 6 %@ ISSN 2008-1901 %F Kir2015 %X In this paper, we investigate generalized weak (\(\psi,\alpha,\beta\)) contractions in partially ordered sets in order to establish extensions of Banach, Kannan and Chatterjea's fixed point theorems in this setting. %9 journal article %R 10.22436/jnsa.008.06.23 %U http://dx.doi.org/10.22436/jnsa.008.06.23 %P 1141--1149 %0 Journal Article %T Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales %A S. Banach %J Fund. Math. %D 1922 %V 3 %F Banach1922 %0 Journal Article %T Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations %A M. Cherichi %A B. Samet %J Fixed Point Theory Appl. %D 2012 %V 2012 %F Cherichi2012 %0 Journal Article %T Fixed point theorems %A S. K. Chatterjea %J C. R. Acad. Bulgare Sci. %D 1972 %V 25 %F Chatterjea1972 %0 Journal Article %T ( \(\psi,\alpha,\beta\))-weak contractions in partially ordered metric spaces %A B. S. Choudhury %A A. Kundu %J Appl. Math. Lett. %D 2012 %V 25 %F Choudhury2012 %0 Journal Article %T Monotone generalized nonlinear contractions in partially ordered metric spaces %A L. Ćirić %A N. Cakić %A M. Rajović %A J. S. Ume %J Fixed Point Theory Appl. %D 2008 %V 2008 %F Ćirić2008 %0 Book %T An introduction to set theory and topology %A R. C. Freiwald %D 2014 %I Washington University in St. Louis %C %F Freiwald2014 %0 Journal Article %T A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations %A A. Harandi %A H. Emami %J Nonlinear Anal. %D 72 %V 2010 %F Harandi72 %0 Journal Article %T Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations %A J. Harjani %A K. Sadarangani %J Nonlinear Anal. %D 2010 %V 72 %F Harjani2010 %0 Journal Article %T Some results on fixed points %A R. Kannan %J Bull. Calcutta Math. Soc. %D 1968 %V 60 %F Kannan1968 %0 Journal Article %T TF -contractive conditions for Kannan and Chatterjea fixed point theorems %A M. Kir %A H. Kiziltunc %J Adv. Fixed Point Theory %D 2014 %V 4 %F Kir2014 %0 Journal Article %T New extension of Kannan fixed point theorem on complete metric and generalized metric spaces %A S. Moradi %A D. Alimohammadi %J Int. J. Math. Anal. %D 2011 %V 5 %F Moradi2011 %0 Journal Article %T Fixed point of TF -contractive single-valued mappings %A S. Moradi %A A. Beiranvand %J Iran. J. Math. Sci. Inform. %D 2010 %V 5 %F Moradi2010 %0 Journal Article %T Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations %A J. J. Nieto %A R. Rodríguez-López %J Order %D 2005 %V 22 %F Nieto2005 %0 Journal Article %T A fixed point theorem in partially ordered sets and some applications to matrix equations %A A. C. M. Ran %A M. C. B. Reurings %J Proc. Amer. Math. Soc. %D 2004 %V 132 %F Ran2004 %0 Journal Article %T Some fixed point theorems for weakly T-Chatterjea and weakly T-Kannan-contractive mappings in complete metric spaces %A A. Razani %A V. Parvaneh %J Russian Math. %D 2013 %V 57 %F Razani2013 %0 Journal Article %T Discussion on some coupled fixed point theorems %A B. Samet %A E. Karapinar %A H. Aydi %A V. C. Rajic %J Fixed Point Theory Appl. %D 2013 %V 2013 %F Samet2013