On Fixed Point Theorems of Mixed Monotone Operators
نویسندگان
چکیده
منابع مشابه
On Fixed Point Theorems of Mixed Monotone Operators
Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in 1987. Thereafter many authors have investigated these kinds of operators in Banach spaces and obtained a lot of interesting and important results. They are used extensively in nonlinear differential and integral equations. In this paper, we obtain some new existence and uniqueness theorems of positive fixed point of mixe...
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Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In the paper, without any compact or continuous assumptions, we study the uniqueness and existence of fixed points of mixed monotone operators in a partially ordered Banach space. Our conclusions extend and improve previous results. As...
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There are a lot of fixed and common fixed point results in different types of spaces. For example, metric spaces, fuzzy metric spaces, and uniform spaces. One of the most interesting is partial metric space, which is defined by Matthews 1 . In partial metric spaces, the distance of a point in the self may not be zero. After the definition of partial metric space, Matthews proved the partial met...
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In this paper, by introducing τ −φ− mixed monotone operators in ordered Banach spaces, the existence and uniqueness theorems for the operators are obtained. In the end, the new results are used to study the existence of positive solutions to second order equations with Neumann boundary conditions.
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2011
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2011/563136