New Best Proximity Point Theorems with Applications to Simultaneous Generalizations of Common Fixed Point Theorems
نویسنده
چکیده
In this work, we first introduce the concept of approximate sequence and establish some new convergence theorems for approximate sequences. By applying our new convergence theorems, we obtain new best proximity point theorems which improve and generalize some known results in the literature. As applications, some simultaneous generalizations of common fixed point theorems of Banach type, Kannan type and Chatterjea type are given. Mathematics Subject Classification: 41A17, 47H09, 47H10, 54H25
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تاریخ انتشار 2017