TY - JOUR AU - Shehwar, Dur-e AU - Batul, Samina AU - Kamran, Tayyab AU - Ghiura, Adrian PY - 2016 TI - Caristis fixed point theorem on \(C^*\)-algebra valued metric spaces JO - Journal of Nonlinear Sciences and Applications SP - 584--588 VL - 9 IS - 2 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.02.22 DO - 10.22436/jnsa.009.02.22 ID - Shehwar2016 ER - TY - JOUR TI - Sur les opérations dans les ensembles abstraits et leurs applications aux équations intégrals AU - S. Banach JO - Fund. Math. PY - 1922 DA - 1922// VL - 3 ID - Banach1922 ER - TY - BOOK TI - \(C^*\)-Algebras by Example AU - K. R. Davidson PB - Fields Institute Monographs 6, American Mathematical Society, Providence PY - 1996 DA - 1996// CY - RI ID - Davidson1996 ER - TY - JOUR TI - Sur les probelems variationnels AU - I. Ekeland JO - C. R. Acad. Sci. Paris PY - 1972 DA - 1972// VL - 275 ID - Ekeland1972 ER - TY - JOUR TI - Remarks on Carisit's fixed point theorem AU - M. A. Khamsi JO - Nonlinear Anal. PY - 2009 DA - 2009// VL - 71 ID - Khamsi 2009 ER - TY - BOOK TI - An Introduction to Metric Spaces and Fixed Point Theory AU - M. A. Khamsi AU - W. A. Kirk PB - Wiley PY - 2001 DA - 2001// CY - New York ID - Khamsi2001 ER - TY - JOUR TI - \(C^*\)-algebra valued metric spaces and related fixed point theorems AU - Z. Ma AU - L. Jiang AU - H. Sun JO - Fixed Point Theory Appl. PY - 2014 DA - 2014// VL - 2014 ID - Ma2014 ER - TY - BOOK TI - \(C^*\)-Algebras and Operator Theory AU - G. J. Murphy PB - Academic Press PY - 1990 DA - 1990// CY - Boston ID - Murphy1990 ER -