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Citation - WoS: 14
Citation - Scopus: 24
Generalized Alpha-Psi Type Mappings of Integral Type and Related Fixed Point Theorems
(Springer, 2014) Karapinar, Erdal; Shahi, Priya; Tas, Kenan
The aim of this paper is to introduce two classes of generalized alpha-psi-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results are improved versions of a multitude of relevant fixed point theorems of the existing literature.
Citation - WoS: 4
Citation - Scopus: 4
Generalized (ξ,α )-Expansive Mappings and Related Fixed-Point Theorems
(Springeropen, 2014) Karapinar, Erdal; Shahi, Priya; Kaur, Jatinderdeep; Bhatia, Satvinder Singh
In this paper, we introduce a new class of expansive mappings called generalized (xi,alpha)-expansive mappings and investigate the existence of a fixed point for the mappings in this class. We conclude that several fixed-point theorems can be considered as a consequence of main results. Moreover, some examples are given to illustrate the usability of the obtained results.