FIXED POINT POINTS OF RATIONAL TYPE CONTRACTIONS IN MULTIPLICATIVE METRIC SPACES
نویسندگان
چکیده
منابع مشابه
Fixed points of generalized $alpha$-Meir-Keeler type contractions and Meir-Keeler contractions through rational expression in $b$-metric-like spaces
In this paper, we first introduce some types of generalized $alpha$-Meir-Keeler contractions in $b$-metric-like spaces and then we establish some fixed point results for these types of contractions. Also, we present a new fixed point theorem for a Meir-Keeler contraction through rational expression. Finally, we give some examples to illustrate the usability of the obtained results.
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Compared with the previous work, the aim of this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-metric spaces. Our main results unify, complement and generalize the previous works in the existing literature.
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Samet et al. in [S. Samet, C. Vetro, H. Yazidi, J. Nonlinear Sci. Appl., 6 (2013), 162–169] proved some fixed point theorem for contractions of rational type. In order to clarify the mathematical structure of contractions of rational type, we generalize this theorem in a general setting.
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2016
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v106i2.22