In this paper, utilizing the notion of the common limit in the range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a varphi-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend and generalize well-known results on the topic in the literature.
Vetro, C., Chauhan, S., Karapinar, E., & Shatanawi, W. (2015). Fixed points of weakly compatible mappings satisfying generalized $\varphi$-weak contractions. BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, 38(3), 1085-1105 [10.1007/s40840-014-0074-0].
Data di pubblicazione: | 2015 | |
Titolo: | Fixed points of weakly compatible mappings satisfying generalized $\varphi$-weak contractions | |
Autori: | ||
Citazione: | Vetro, C., Chauhan, S., Karapinar, E., & Shatanawi, W. (2015). Fixed points of weakly compatible mappings satisfying generalized $\varphi$-weak contractions. BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, 38(3), 1085-1105 [10.1007/s40840-014-0074-0]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s40840-014-0074-0 | |
Abstract: | In this paper, utilizing the notion of the common limit in the range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a varphi-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend and generalize well-known results on the topic in the literature. | |
URL: | http://link.springer.com/article/10.1007/s40840-014-0074-0 | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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