TY - JOUR AU - Yin, Jiandong AU - Yan, Pinghua AU - Leng, Qianqian PY - 2016 TI - Calculations on topological degrees of semi-closed 1-set-contractive operators in M-PN-spaces and applications JO - Journal of Nonlinear Sciences and Applications SP - 5229--5237 VL - 9 IS - 8 AB - The aim of the paper is to study some calculating problems of topological degrees of semi-closed 1-set- contractive operators in M-PN-spaces. Under some weak and natural conditions, several calculation results are obtained. Finally, in order to verify the validity of our results, a support example is given at the end of the paper. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.08.08 DO - 10.22436/jnsa.009.08.08 ID - Yin2016 ER - TY - JOUR TI - The Kuratowski function and some applications to the probabilistic metric spaces AU - G. Bocşan AU - G. Constantin JO - Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. PY - 1973 DA - 1973// VL - 55 ID - Bocşan1973 ER - TY - BOOK TI - Nonlinear operator theory in probabilistic metric spaces AU - S. S. Chang AU - Y. J. Cho AU - S. M. Kang PB - Nova Science Publishers, Inc. PY - 2001 DA - 2001// CY - Huntington, NY ID - Chang2001 ER - TY - JOUR TI - Products and quotients of probabilistic metric spaces AU - J. Egbert JO - Pacific J. Math. PY - 1968 DA - 1968// VL - 24 ID - Egbert1968 ER - TY - JOUR TI - The topological degree of A-proper mapping in the Menger PN-space, I AU - X. Huang AU - M.Wang AU - C. Zhu JO - Bull. Austral. Math. Soc PY - 2006 DA - 2006// VL - 73 ID - Huang2006 ER - TY - JOUR TI - Fixed point theorems of 1-set-contractive operators in Banach spaces AU - G. Z. Li AU - S. Y. Xu AU - H. G. Duan JO - Appl. Math. Lett. PY - 2006 DA - 2006// VL - 19 ID - Li2006 ER - TY - JOUR TI - Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces AU - Q. Li AU - C. Zhu AU - S. Wang JO - Nonlinear Anal. PY - 2009 DA - 2009// VL - 71 ID - Li2009 ER - TY - JOUR TI - On the topological degree of multivalued mappings in probabilistic normed spaces, (Russian) Nonlinear operators in global analysis AU - V. V. Obukhovskiĭ JO - Novoe Global. Anal., Voronezh. Gos. Univ., Voronezh PY - 1991 DA - 1991// VL - 164 ID - Obukhovskiĭ1991 ER - TY - JOUR TI - Statistical metric spaces AU - B. Schweizer AU - A. Sklar JO - Pacific J. Math. PY - 1960 DA - 1960// VL - 10 ID - Schweizer1960 ER - TY - BOOK TI - Probabilistic metric spaces, North-Holland Series in Probability and Applied Mathematics AU - B. Schweizer AU - A. Sklar PB - North-Holland Publishing Co. PY - 1983 DA - 1983// CY - New York ID - Schweizer1983 ER - TY - JOUR TI - On the concept of a stochastic normalized space AU - A. N. Šerstnev JO - (Russian) Dokl. Akad. Nauk SSSR PY - 1963 DA - 1963// VL - 149 ID - Šerstnev1963 ER - TY - JOUR TI - Topological degree for 1-set-contractive fields in M-PN spaces and its applications AU - Z. Wu AU - C. Zhu JO - Appl. Math. J. Chinese Univ. Ser. B PY - 2010 DA - 2010// VL - 25 ID - Wu2010 ER - TY - JOUR TI - New fixed point theorems for 1-set-contractive operators in Banach spaces AU - S. Xu JO - Nonlinear Anal. PY - 2007 DA - 2007// VL - 67 ID - Xu2007 ER - TY - JOUR TI - Several nonlinear operator problems in the Menger PN space AU - C. Zhu JO - Nonlinear Anal. PY - 2009 DA - 2009// VL - 65 ID - Zhu2009 ER -