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FUZZY GENERAL NONLINEAR ORDERED RANDOM VARIATIONAL INEQUALITIES IN ORDERED BANACH SPACES

이병수|Salahuddin
영남수학회 (Youngnam Mathematical Society)|2016.09|East Asian Mathematical Journal|제32권 제5호|pp. 685-700|DOI http://dx.doi.org/10.7858/eamj.2016.048

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참고문헌

키워드

random compression mappingOrdered Banach spacesRandom B-restricted accretive mappingsRandom algorithmFuzzy mappings
주제분류수학

초록

The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings α, α' : Ω → (0, 1), an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value x0(t) and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.

Abstract

The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings α, α' : Ω → (0, 1), an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value x0(t) and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.

참고문헌 (34)

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