Fixed point theorems on generalized cone metric spaces over Banach algebras and applications
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The aim of this paper is to introduce the concept of generalized cone metric spaces over Banach algebras as a generalization of generalized metric spaces and present several fixed point results of a class of contractive mappings in generalized cone metric spaces over Banach algebras. Moreover, in order to support our main results, one example is given at the end of this paper.
Abstract
The aim of this paper is to introduce the concept of generalized cone metric spaces over Banach algebras as a generalization of generalized metric spaces and present several fixed point results of a class of contractive mappings in generalized cone metric spaces over Banach algebras. Moreover, in order to support our main results, one example is given at the end of this paper.
참고문헌 (11)
- M. Dordevic, "Fixed point results under c-distance in tvs-cone metric spaces", Fixed Point Theory Appl, 2011, pp.29~ (2011)
- L.-G. Huang, "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl, 332(2), pp.1468~1476 (2007)
- M. Jleli, "A generalized metric space and related fixed point theorems", Fixed Point Theory Appl, 2015, pp.61~ (2015)
- Z. Kadelburg, "Common fixed point theorems for ordered contractions and quasi-contractions in ordered cone metric spaces", Comput. Math. Appl, 59(9), pp.3148~3159 (2010)
- Z. Kadelburg, "Common fixed point results of Das-Naik and Geraghty types in v-generalized metric spaces", Sarajevo J. Math, 13(1)통권 : 25, pp.93~103 (2017)
- H. Liu, "Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings", Fixed Point Theory Appl, 2013, pp.320~ (2013)
- H. Liu, "Fixed point theorems of quasicontractions on cone metric spaces with Banach algebras", Abstr. Appl. Anal, 2013, pp.5~ (2013)
- S. Radenovic, "Fixed point theorem for two non-self mappings in cone metric spaces", Comput. Math. Appl, 57(10), pp.1701~1707 (2009)
- W. Rudin, "Functional Analysis" (1991), McGraw-Hill, Inc.
- T. Wang, "Fixed point theorems on cone 2-metric spaces over Banach algebras and an application", Fixed Point Theory Appl, 2015, pp.204~ (2015)
- S. Xu, "Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality", Fixed Point Theory Appl, 2014, pp.102~ (2014)