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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 271 - 289 (19page)
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It is our purpose in this paper to introduce the concept of best random proximity pair for subsets A and B of a separable Banach space E. We prove some best random approximation and best random proximity pair theorems of certain classes of random operators, which is the stochastic verse of the deterministic results of Eldred et al. [22], Eldred et al. [18] and Eldred and Veeramani [19]. Furthermore, our results generalize and extend recent results of Okeke and Abbas [42] and Okeke and Kim [43]. Moreover, we shall apply our results to study nonlinear stochastic integral equations of the Hammerstein type.
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참고문헌 (59)
참고문헌 신청
S. Itoh / 1979 / Random fixed point theorems with an application to random di erential equations in Banach spaces / Journal of Mathematical Analysis and Applications 67(2):261~273
M.C. Joshi / 1985 / Some topics in nonlinear functional analysis / Wiley Eastern Limited
M.A. Khamsi / 1996 / KKM and Ky Fan theorems in hyperconvex metric spaces / Journal of Mathematical Analysis and Applications 204(1):298~306
W.K. Kim / 2006 / Existence of best proximity pairs and equilibrium pairs / J. Math. Anal. Appl 316(2):433~446
W.K. Kim / 2008 / On general best proximity pairs and equilibrium pairs in free abstract economies / Nonlinear Anal 68(8):2216~2227
M.C. Joshi / 1985 / Some topics in nonlinear functional analysis / Wiley Eastern Limited
M.A. Khamsi / 1996 / KKM and Ky Fan theorems in hyperconvex metric spaces / Journal of Mathematical Analysis and Applications 204(1):298~306
W.K. Kim / 2006 / Existence of best proximity pairs and equilibrium pairs / J. Math. Anal. Appl 316(2):433~446
W.K. Kim / 2008 / On general best proximity pairs and equilibrium pairs in free abstract economies / Nonlinear Anal 68(8):2216~2227
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