Fixed point results for cyclic α-Ψφ-contractions with application to integral equations

[摘要] In this paper, we introduce the notions of alpha-Psi phi-contractive and cyclic alpha-Psi phi-contractive mappings and establish the existence and uniqueness of fixed points for such mappings in complete metric-like spaces. The results presented here substantially generalize and extend several comparable results in the existing literature, in particular those of Karapinar and Salimi (2013). As an application, we prove new fixed point results for Psi phi-graphic and cyclic Psi phi-graphic contractive mappings. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results. (C) 2015 Elsevier B.V. All rights reserved.

[发布日期] 2015-12-15

[关键词] alpha-Psi-contractive mapping;Modified cyclic alpha-Psi phi-contractive mapping;Cyclic Psi phi-graphic contractive mapping;alpha-admissible mapping