%0 Journal Article %T Caristis fixed point theorem on \(C^*\)-algebra valued metric spaces %A Shehwar, Dur-e %A Batul, Samina %A Kamran, Tayyab %A Ghiura, Adrian %J Journal of Nonlinear Sciences and Applications %D 2016 %V 9 %N 2 %@ ISSN 2008-1901 %F Shehwar2016 %X We present the extension of Caristi's fixed point theorem for mappings defined on \(C^*\)-algebra valued metric spaces. We prove the existence of fixed point using the concept of minimal element in \(C^*\)-algebra valued metric space by introducing the notion of partial order on X. %9 journal article %R 10.22436/jnsa.009.02.22 %U http://dx.doi.org/10.22436/jnsa.009.02.22 %P 584--588 %0 Journal Article %T Sur les opérations dans les ensembles abstraits et leurs applications aux équations intégrals %A S. Banach %J Fund. Math. %D 1922 %V 3 %F Banach1922 %0 Book %T \(C^*\)-Algebras by Example %A K. R. Davidson %D 1996 %I Fields Institute Monographs 6, American Mathematical Society, Providence %C RI %F Davidson1996 %0 Journal Article %T Sur les probelems variationnels %A I. Ekeland %J C. R. Acad. Sci. Paris %D 1972 %V 275 %F Ekeland1972 %0 Journal Article %T Remarks on Carisit's fixed point theorem %A M. A. Khamsi %J Nonlinear Anal. %D 2009 %V 71 %F Khamsi 2009 %0 Book %T An Introduction to Metric Spaces and Fixed Point Theory %A M. A. Khamsi %A W. A. Kirk %D 2001 %I Wiley %C New York %F Khamsi2001 %0 Journal Article %T \(C^*\)-algebra valued metric spaces and related fixed point theorems %A Z. Ma %A L. Jiang %A H. Sun %J Fixed Point Theory Appl. %D 2014 %V 2014 %F Ma2014 %0 Book %T \(C^*\)-Algebras and Operator Theory %A G. J. Murphy %D 1990 %I Academic Press %C Boston %F Murphy1990