Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and applications for some classes of BVPs
Copyright policy )Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and applications for some classes of BVPs
"The purpose of this work is to establish an extension of a Leggett- Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non trivial nonnegative solutions for two-point BVPs and three-point BVPs."
Fixed-point theorems, expansion, sum of operators, Positive solutions to nonlinear boundary value problems for ordinary differential equations, nonnegative solution, fixed point index, cone, compression, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
Fixed-point theorems, expansion, sum of operators, Positive solutions to nonlinear boundary value problems for ordinary differential equations, nonnegative solution, fixed point index, cone, compression, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
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