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We propose coincidence and common fixed point results for a quadruple of self mappings satisfying common limit range property and weakly compatibility under generalized Φ-contractive conditions in Non-Archimedean Menger PM-spaces. As examples we exhibit different types of situations where these conditions can be used. A common fixed point theorem for four finite families of self mappings is presented as an application of the proposed results. The existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming are also presented as another application.
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참고문헌 (23)
참고문헌 신청
G. Jungck / 1996 / Common fixed points for noncontinuous nonself maps on nonmetric spaces / Far East J. Math. Sci 4
I. Istr˘at.escu / 1974 / On non-Archimedean probabilistic metric spaces / An. Univ. Timi¸soara Ser. S¸ti. Mat 12 (2) : 115 ~ 118
I. Istr˘at.escu / 1974 / On some classes of non-Archimedean probabilistic metric spaces / Seminar de spatii metrice probabiliste (12)
I. Istr˘at.escu / 1975 / On some fixed point theorems with applications to the nonarchimedean Menger spaces / Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 58
I. Istr˘at.escu / 1978 / Fixed point theorems for some classes of contraction mappings on nonar-chimedean probabilistic metric space / Publ. Math. Debrecen 25 (1-2) : 29 ~
I. Istr˘at.escu / 1974 / On non-Archimedean probabilistic metric spaces / An. Univ. Timi¸soara Ser. S¸ti. Mat 12 (2) : 115 ~ 118
I. Istr˘at.escu / 1974 / On some classes of non-Archimedean probabilistic metric spaces / Seminar de spatii metrice probabiliste (12)
I. Istr˘at.escu / 1975 / On some fixed point theorems with applications to the nonarchimedean Menger spaces / Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 58
I. Istr˘at.escu / 1978 / Fixed point theorems for some classes of contraction mappings on nonar-chimedean probabilistic metric space / Publ. Math. Debrecen 25 (1-2) : 29 ~
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