Weak contractive integral inequalities and fixed points in modular metric spaces

作者：Hussain Nawab^*; Kutbi Marwan A; Sultana Nazra; Iqbal Iram

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, 2016(1): 89.

DOI：10.1186/s13660-016-1032-1

• modular metric space
• fixed point
• omega-weakly compatible maps

Branciari (Int. J. Math. Math. Sci. 29(9):531-536, 2002) gave an interesting supplement of Banach's contraction principle for an integral-type inequality. In this paper, we introduce different notions of generalized.-weak contractive inequalities of integral type in modular metric spaces and prove the presence and uniqueness of common fixed points for such contractions under.-weak compatibility of underlying maps. Our results generalize and extend the results of Azadifar et al. (J. Inequal. Appl. 2013:483, 2013), Liu et al. (Fixed Point Theory Appl. 2013:2672013, 2013), Beygmohammadi and Razani (Int. J. Math. Math. Sci. 2010:Article ID 317107, 2010), and many others. Moreover, an example is provided here to demonstrate the applicability of the obtained results.

• 出版日期2016-3-5