Fixed point theorems for positive maps and applications
A Benmezai, S Mechrouk, J Henderson - 2015 - projecteuclid.org
A Benmezai, S Mechrouk, J Henderson
2015•projecteuclid.orgWe prove in this article new fixed point theorems for positive maps having approximative
minorant and majorant at 0 and ∞ in specific classes of operators. Then, the new fixed point
theorems are used to obtain existence results for positive solutions to boundary value
problems involving a generalized p(t)-Laplacian operator.
minorant and majorant at 0 and ∞ in specific classes of operators. Then, the new fixed point
theorems are used to obtain existence results for positive solutions to boundary value
problems involving a generalized p(t)-Laplacian operator.
Abstract
We prove in this article new fixed point theorems for positive maps having approximative minorant and majorant at and in specific classes of operators. Then, the new fixed point theorems are used to obtain existence results for positive solutions to boundary value problems involving a generalized -Laplacian operator.
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