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Some Notation and Terminology. Banach Spaces.
Banach space - Wikipedia
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Positive one-parameter semigroups on ordered banach spaces
In this paper, we propose fixed point results through the notion of measure of noncompactness MNC in partially ordered Banach spaces. We also prove some new coupled fixed point results via MNC for more general class of function. To achieve this result, we relaxed the conditions of boundedness, closedness and convexity of the set at the expense that the operator is monotone and bounded.
Further, we apply the obtained fixed point theorems to prove the existence of mild solutions for fractional integro-differential evolution equations with nonlocal conditions. At the end, an example is given to illustrate the rationality of the abstract results for fractional parabolic equations. Source Taiwanese J.
Zentralblatt MATH identifier Subjects Primary: 35F Initial value problems for nonlinear first-order equations 45N Abstract integral equations, integral equations in abstract spaces 47H Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]. Keywords partially ordered Banach space measure of noncompactness fixed point coupled fixed point fractional integro-differential evolution equation.
Taiwanese J. More by Ravi P.
Abstract Article info and citation First page References Abstract In this paper, we propose fixed point results through the notion of measure of noncompactness MNC in partially ordered Banach spaces. Article information Source Taiwanese J.
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Related Ordered Banach spaces
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