Fixed Point Results Using Ft-Contractions in Ordered Metric Spaces Having t-Property

In this paper, we prove the existence of fixed points of F t -contraction mappings in partially ordered metric spaces not necessarily complete. We require that the ordered metric space has the t-property, which is a new concept introduced recently by Rashid et al. We also give some examples to illustrate the new concepts and obtained results.

[1]  Hassen Aydi,et al.  Discussion on some coupled fixed point theorems , 2013, Fixed Point Theory and Applications.

[2]  Hassen Aydi,et al.  Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces , 2011, Math. Comput. Model..

[3]  Vasile Berinde,et al.  Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces , 2011, 1103.5285.

[4]  Zoran Kadelburg,et al.  Some Fixed Point Theorems for Ordered F-generalized Contractions in 0- f -orbitally Complete Partial Metric Spaces , 2014 .

[5]  Mihai Turinici,et al.  Abstract comparison principles and multivariable Gronwall-Bellman inequalities , 1986 .

[6]  Calogero Vetro,et al.  Multi-valued F-contractions and the solutions of certain functional and integral equations , 2013 .

[7]  Mihai Turinici,et al.  Ran-Reurings Fixed Point Results in Ordered Metric Spaces , 2011 .

[8]  Aiman Mukheimer,et al.  α−ψ−φ -contractive mappings in ordered partial b-metric spaces , 2014 .

[9]  Nicolae Adrian Secelean,et al.  Iterated function systems consisting of F-contractions , 2013, Fixed Point Theory and Applications.

[10]  Stojan Radenović,et al.  Some Common Fixed Point Theorems for -Contraction Type Mappings in 0-Complete Partial Metric Spaces , 2013 .

[11]  Ishak Altun,et al.  Ćirić type generalized F-contractions on complete metric spaces and fixed point results , 2014 .

[12]  Hassen Aydi,et al.  Coincidence and common fixed point results in partially ordered cone metric spaces and applications , 2011 .

[13]  A. Ran,et al.  A fixed point theorem in partially ordered sets and some applications to matrix equations , 2003 .

[14]  Hassen Aydi,et al.  Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces , 2012 .

[15]  Nawab Hussain,et al.  NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED QUASI b-METRIC SPACES , 2012 .

[16]  Satish Shukla,et al.  Some Common Fixed Point Theorems for F-Contraction Type Mappings in 0-Complete Partial Metric Spaces , 2015 .

[17]  Hassen Aydi,et al.  Modified F-Contractions via α-Admissible Mappings and Application to Integral Equations , 2017 .

[18]  Acar Ozlem,et al.  GENERALIZED MULTIVALUED F-CONTRACTIONS ON COMPLETE METRIC SPACES , 2014 .

[19]  Hassen Aydi,et al.  t-PROPERTY OF METRIC SPACES AND FIXED POINT THEOREMS , 2019 .

[20]  Mihai Turinici,et al.  Nieto-Lopez theorems in ordered metric spaces , 2011, 1105.2401.

[21]  Hassen Aydi,et al.  Coupled coincidence point results on generalized distance in ordered cone metric spaces , 2013 .

[22]  Salvador Romaguera,et al.  Multivalued Almost F-contractions on Complete Metric Spaces , 2016 .

[23]  Hassen Aydi,et al.  A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces , 2014 .

[24]  Hassen Aydi,et al.  On common fixed points for α−F -contractions and applications , 2016 .

[25]  S. Banach.  Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales , 1922 .

[26]  Sami Ullah Khan,et al.  Common fixed points for multivalued mappings in G-metric spaces with applications , 2017 .

[27]  Dariusz Wardowski,et al.  Fixed points of a new type of contractive mappings in complete metric spaces , 2012, Fixed Point Theory and Applications.

[28]  Juan J. Nieto,et al.  Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations , 2005, Order.