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- W1528932392 abstract "Let <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E1><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>Ω</mml:mi><mml:mo>,</mml:mo><mml:mi>Σ</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math> be a measurable space, with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E2><mml:mi>Σ</mml:mi></mml:math> a sigma-algebra of subset of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E3><mml:mi>Ω</mml:mi></mml:math>, and let <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E4><mml:mi>C</mml:mi></mml:math> be a nonempty bounded closed convex separable subset of a Banach space <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E5><mml:mi>X</mml:mi></mml:math>, whose characteristic of noncompact convexity is less than 1, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E6><mml:mi>K</mml:mi><mml:mi>C</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> the family of all compact convex subsets of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E7><mml:mi>X</mml:mi></mml:math>. We prove that a multivalued nonexpansive non-self-random operator <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E8><mml:mi>T</mml:mi><mml:mo>:</mml:mo><mml:mi>Ω</mml:mi><mml:mo>×</mml:mo><mml:mi>C</mml:mi><mml:mo>→</mml:mo><mml:mi>K</mml:mi><mml:mi>C</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>X</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>, 1-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E9><mml:mi>χ</mml:mi></mml:math>-contractive mapping, satisfying an inwardness condition has a random fixed point." @default.
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- W1528932392 date "2006-04-25" @default.
- W1528932392 modified "2023-09-27" @default.
- W1528932392 title "Random fixed point theorems for multivalued nonexpansive non-self-random operators" @default.
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- W1528932392 doi "https://doi.org/10.1155/jamsa/2006/43796" @default.
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