TY - JOUR AU - Farajzadeh, Ali AU - Chuadchawna, Preeyaluk AU - Kaewcharoen, Anchalee PY - 2016 TI - Fixed point theorems for (\(\alpha,\eta,\psi,\xi\))-contractive multi-valued mappings on \(\alpha-\eta\)-complete partial metric spaces JO - Journal of Nonlinear Sciences and Applications SP - 1977--1990 VL - 9 IS - 5 AB - In this paper, the notion of strictly (\(\alpha,\eta,\psi,\xi\))-contractive multi-valued mappings is introduced where the continuity of \(\xi\) is relaxed. The existence of fixed point theorems for such mappings in the setting of \(\alpha,\eta\)-complete partial metric spaces are provided. The results of the paper can be viewed as the extension of the recent results obtained in the literature. Furthermore, we assure the fixed point theorems in partial complete metric spaces endowed with an arbitrary binary relation and with a graph using our obtained results. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.05.04 DO - 10.22436/jnsa.009.05.04 ID - Farajzadeh2016 ER - TY - JOUR TI - Common fixed point results for noncommuting mappings without continuity in cone metric space AU - M. Abbas AU - G. Jungck JO - J. Math. Anal. Appl. PY - 2008 DA - 2008// VL - 341 ID - Abbas2008 ER - TY - JOUR TI - (\(\alpha,\psi,\xi\))-Contractive multi-valued mappings AU - M. U. Ali AU - T. Kamran AU - E. Karapinar JO - Fixed point theory Appl. PY - 2014 DA - 2014// VL - 2014 ID - Ali2014 ER - TY - JOUR TI - Some fixed point theorems on dualistic partial metric spaces AU - I. Altun AU - H. Simsek JO - J. Adv. Math. Stud. PY - 2008 DA - 2008// VL - 1 ID - Altun2008 ER - TY - JOUR TI - Generalized contraction on partial metric spaces AU - I. Altun AU - F. Sola AU - H. Simsek JO - Topology Appl. PY - 2010 DA - 2010// VL - 157 ID - Altun2010 ER - TY - JOUR TI - Fixed points of generalized \(\alpha-\psi\)-contractions AU - P. Amiri AU - S. Rezapour AU - N. Shahzad JO - Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. PY - 2014 DA - 2014// VL - 108 ID - Amiri2014 ER - TY - JOUR TI - Some fixed point results in ordered partial metric spaces AU - H. Aydi JO - J. Nonlinear Sci. Appl. PY - 2011 DA - 2011// VL - 4 ID - Aydi 2011 ER - TY - JOUR TI - Common fixed point for four maps in ordered partial metric spaces AU - H. Aydi JO - Fasc. Math. PY - 2012 DA - 2012// VL - 49 ID - Aydi2012 ER - TY - JOUR TI - Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces AU - H. Aydi AU - M. Abbas AU - C. Vetro JO - Topology Appl. PY - 2012 DA - 2012// VL - 159 ID - Aydi2012 ER - TY - JOUR TI - Transformazioni tipo contravtivo generalizzato in uno spazio metrico AU - R. M. Bianchini AU - M. Grandolfi JO - Atti Accad. Naz. Lincei, Rend. Ci. Sci. Fis. Mat. Nat. PY - 1968 DA - 1968// VL - 45 ID - Bianchini1968 ER - TY - JOUR TI - Fixed point theory in \(\alpha\)-complete metric spaces with applications AU - N. Hussain AU - M. A. Kutbi AU - P. Salimi JO - Abstr. Appl. Anal. PY - 2014 DA - 2014// VL - 2014 ID - Hussain2014 ER - TY - JOUR TI - On new fixed pont results for (\(\alpha,\psi,\xi\))-contractive multi-valued mappings on \(\alpha\)- complete metric spaces and their consequences AU - M. A. Kutbi AU - W. Sintunavrat JO - Fixed point theory Appl. PY - 2015 DA - 2015// VL - 2015 ID - Kutbi2015 ER - TY - JOUR TI - Partial metric topology AU - S. G. Matthews JO - Papers on general topology and applications, Ann. New York Acad. Sci. PY - 1994 DA - 1994// VL - ID - Matthews1994 ER - TY - JOUR TI - Some results on fixed points of \(\alpha-\psi\)-Ciric generalized multifunction AU - B. Mohammadi AU - S. Rezapour AU - S. Naseer JO - Fixed point theory Appl. PY - 2013 DA - 2013// VL - 2013 ID - Mohammadi2013 ER - TY - JOUR TI - Multi-valued contraction mappings AU - S. B. J. Nadler JO - Pacific J. Math. PY - 1969 DA - 1969// VL - 30 ID - Nadler 1969 ER - TY - JOUR TI - A generalization of the Banach contraction principle with high order of convergence of successive approximations AU - P. D. Proinov JO - Nonlinear Anal. PY - 2007 DA - 2007// VL - 67 ID - Proinov2007 ER - TY - JOUR TI - Fixed-point theorems for \(\alpha-\psi\)-contractive type mappings AU - B. Samet AU - C. Vetro AU - P. Vetro JO - Nonlinear Anal. PY - 2012 DA - 2012// VL - 75 ID - Samet2012 ER - TY - JOUR TI - Weak condition for generalized multi-valued \((f, alpha,\beta)\)-weak contraction mappings AU - W. Sintunavarat AU - P. Kumam JO - Appl. Math. Lett. PY - 2011 DA - 2011// VL - 24 ID - Sintunavarat2011 ER -