Generalized Kannan-type contraction and fixed point theorems
نویسندگان
چکیده
Abstract In this paper, the generalized Kannan-type contraction in cone metric spaces over Banach algebras is introduced. The fixed point theorems satisfying contractive conditions are obtained, without appealing to completeness of X or normality cone. continuity mapping relaxed. Furthermore, we prove that necessary if has a . These results greatly generalize several well-known comparable literature.
منابع مشابه
Fixed point theorems for Kannan-type maps
for all x, y ∈ X. Kannan [] proved that if X is complete, then a Kannan mapping has a fixed point. It is interesting that Kannan’s theorem is independent of the Banach contraction principle []. Also, Kannan’s fixed point theorem is very important because Subrahmanyam [] proved that Kannan’s theorem characterizes the metric completeness. That is, a metric space X is complete if and only if ev...
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ژورنال
عنوان ژورنال: Applied Mathematics-a Journal of Chinese Universities Series B
سال: 2023
ISSN: ['1005-1031', '1993-0445', '1000-4424']
DOI: https://doi.org/10.1007/s11766-023-4093-1