TY - JOUR AU - Şimşek, Hakan AU - Yalçin, Menşur Tuğba PY - 2017 TI - Generalized \(\mathit{Z}\)-contraction on quasi metric spaces and a fixed point result JO - Journal of Nonlinear Sciences and Applications SP - 3397--3403 VL - 10 IS - 7 AB - The simulation function is defined by Khojasteh et al. [F. Khojasteh, S. Shukla, S. Radenović, Filomat, 29 (2015), 1189–1194]. Khojasteh introduced the notion of Z-contraction which is a new type of nonlinear contractions defined by using a specific simulation function. Then, they proved existence and uniqueness of fixed points for Z-contraction mappings. After this work, studies involving simulation functions were performed by various authors [H. H. Alsulami, E. Karapınar, F. Khojasteh, A. F. Roldán-López-de-Hierro, Discrete Dyn. Nat. Soc., 2014 (2014), 10 pages], [M. Olgun, Ö. Biçer, T. Alyildiz, Turkish J. Math., 40 (2016), 832–837]. In this paper, we introduce generalized simulation function on a quasi metric space and we present a fixed point theorem. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.07.03 DO - 10.22436/jnsa.010.07.03 ID - Şimşek2017 ER - TY - JOUR TI - A proposal to the study of contractions in quasi-metric spaces AU - H. H. Alsulami AU - E. Karapınar AU - F. Khojasteh AU - A. F. Roldán-López-de-Hierro JO - Discrete Dyn. Nat. Soc. PY - 2014 DA - 2014// VL - 2014 ID - Alsulami2014 ER - TY - JOUR TI - Classification of completeness of quasi metric space and some new fixed point results AU - I. Altun AU - G. Mınak AU - M. Olgun JO - J. Nonlinear Funct. Anal. PY - Submitted DA - Submitted// VL - ID - AltunSubmitted ER - TY - JOUR TI - Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales AU - S. Banach JO - Fund. Math. PY - 1922 DA - 1922// VL - 3 ID - Banach1922 ER - TY - JOUR TI - The solution by iteration of nonlinear functional equations in Banach spaces AU - F. E. Browder AU - W. V. Petryshyn JO - Bull. Amer. Math. Soc. PY - 1966 DA - 1966// VL - 72 ID - Browder1966 ER - TY - JOUR TI - A remark on a fixed-point theorem for iterated mappings AU - V. W. Bryant JO - Amer. Math. Monthly PY - 1968 DA - 1968// VL - 75 ID - Bryant1968 ER - TY - JOUR TI - Fixed point theorems for mappings satisfying inwardness conditions AU - J. Caristi JO - Trans. Amer. Math. Soc. PY - 1976 DA - 1976// VL - 215 ID - Caristi1976 ER - TY - JOUR TI - On a common fixed point theorem of a Greguštype AU - L. B. Ćirić JO - Publ. Inst. Math. (Beograd) (N.S.) PY - 1991 DA - 1991// VL - 49 ID - Ćirić1991 ER - TY - JOUR TI - Completeness in quasi-metric spaces and Ekeland Variational Principle AU - S. Cobzaş JO - Topology Appl. PY - 2011 DA - 2011// VL - 158 ID - Cobzaş2011 ER - TY - BOOK TI - Multivalued differential equations AU - K. Deimling PB - De Gruyter Series in Nonlinear Analysis and Applications, Walter de Gruyter & Co. PY - 1992 DA - 1992// CY - Berlin ID - Deimling1992 ER - TY - JOUR TI - A theorem on fixed points under isometries AU - M. Edelstein JO - Amer. Math. Monthly PY - 1963 DA - 1963// VL - 70 ID - Edelstein1963 ER - TY - JOUR TI - Fixed point theorems for quasi-metric spaces AU - T. L. Hicks JO - Math. Japon. PY - 1988 DA - 1988// VL - 33 ID - Hicks1988 ER - TY - JOUR TI - Nonconvex minimization theorems and fixed point theorems in complete metric spaces AU - O. Kada AU - T. Suzuki AU - W. Takahashi JO - Math. Japon. PY - 1996 DA - 1996// VL - 44 ID - Kada1996 ER - TY - JOUR TI - Some results on fixed points, II AU - R. Kannan JO - Amer. Math. Monthly PY - 1969 DA - 1969// VL - 76 ID - Kannan1969 ER - TY - JOUR TI - A new approach to the study of fixed point theory for simulation functions AU - F. Khojasteh AU - S. Shukla AU - S. Radenović JO - Filomat PY - 2015 DA - 2015// VL - 29 ID - Khojasteh2015 ER - TY - JOUR TI - A new aspect to Picard operators with simulation functions AU - M. Olgun AU - Ö. Biçer AU - T. Alyildiz JO - Turkish J. Math. PY - 2016 DA - 2016// VL - 40 ID - Olgun2016 ER - TY - JOUR TI - Cauchy sequences in quasipseudometric spaces AU - I. L. Reilly AU - P. V. Subrahmanyam AU - M. K. Vamanamurthy JO - Monatsh. Math. PY - 1982 DA - 1982// VL - 93 ID - Reilly1982 ER - TY - JOUR TI - A comparison of various definitions of contractive mappings AU - B. E. Rhoades JO - Trans. Amer. Math. Soc. PY - 1977 DA - 1977// VL - 226 ID - Rhoades1977 ER - TY - JOUR TI - \(\varphi\)-admissibility results via extended simulation functions AU - A. F. Roldan Lopez de Hierro AU - B. Samet JO - J. Fixed Point Theory Appl. PY - 2016 DA - 2016// VL - 2016 ID - Hierro2016 ER - TY - JOUR TI - Completeness in quasi-uniform spaces AU - J. L. Sieber AU - W. J. Pervin JO - Math. Ann. PY - 1965 DA - 1965// VL - 158 ID - Sieber1965 ER - TY - JOUR TI - Completeness and fixed-points AU - P. V. Subrahmanyam JO - Monatsh. Math. PY - 1975 DA - 1975// VL - 80 ID - Subrahmanyam1975 ER - TY - JOUR TI - On quasi-metric spaces AU - W. A. Wilson JO - Amer. J. Math. PY - 1931 DA - 1931// VL - 53 ID - Wilson1931 ER -