Yuan, George Xianzhi Fixed point theorems and applications in \(p\)-vector spaces. (English) Zbl 07833576 Fixed Point Theory Algorithms Sci. Eng. 2023, Paper No. 10, 58 p. (2023). MSC: 47H04 47H10 46A16 46A55 49J27 49J35 52A07 54C60 54H25 55M20 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, George Xianzhi Fixed point theorem and related nonlinear analysis by the best approximation method in \(p\)-vector spaces. (English) Zbl 07663968 Numer. Funct. Anal. Optim. 44, No. 4, 221-295 (2023); corrigendum ibid. 44, No. 10, 1094-1096 (2023; Zbl 07723935). Reviewer: Jürgen Appell (Würzburg) MSC: 47H04 47H10 46A16 46A55 52A07 54C60 54H25 49J27 49J35 55M20 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, George Xianzhi Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings. (English) Zbl 1543.47101 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 26, 61 p. (2022). MSC: 47H08 47H10 41A50 46A16 46A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuan, George Xianzhi Nonlinear analysis by applying best approximation method in \(p\)-vector spaces. (English) Zbl 1544.47083 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 20, 45 p. (2022). MSC: 47H04 47H08 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
El-Ghabi, Adil; Khchine, Abdelmjid; Taoudi, Mohamed Aziz Random fixed point theorems and applications to random first-order vector-valued differential equations. (English) Zbl 1522.47078 J. Funct. Spaces 2021, Article ID 6648938, 16 p. (2021). Reviewer: Chuanxi Zhu (Nanchang) MSC: 47H10 47H40 47H07 47H08 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
El-Ghabi, Adil; Taoudi, Mohamed Aziz Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness. (English) Zbl 1484.47108 J. Fixed Point Theory Appl. 22, No. 4, Paper No. 85, 19 p. (2020). MSC: 47H10 47H40 47H08 45R05 × Cite Format Result Cite Review PDF Full Text: DOI
O’Regan, Donal Deterministic and random fixed points for maps on extension type spaces. (English) Zbl 1468.54059 Appl. Anal. 97, No. 11, 1960-1966 (2018). MSC: 54H25 54C60 × Cite Format Result Cite Review PDF Full Text: DOI
Patriche, Monica Random fixed point theorems for lower semicontinuous condensing random operators. (English) Zbl 1398.91394 Fixed Point Theory 19, No. 1, 369-378 (2018). MSC: 91B50 91B52 91A80 47H10 47H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kong, Dezhou; Liu, Lishan; Wu, Yonghong The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces. (English) Zbl 1433.47003 Abstr. Appl. Anal. 2015, Article ID 165053, 7 p. (2015). MSC: 47H10 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, LiShan; Kong, DeZhou; Wu, YongHong The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces. (English) Zbl 1342.41032 Sci. China, Math. 58, No. 12, 2581-2592 (2015). MSC: 41A50 41A65 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Dezhou; Liu, Lishan; Wu, Yonghong Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices. (English) Zbl 1344.47036 Fixed Point Theory Appl. 2014, Paper No. 18, 10 p. (2014). MSC: 47H07 41A50 41A65 54H25 46B42 × Cite Format Result Cite Review PDF Full Text: DOI
Nashine, Hemant Kumar Random coincidence points, invariant approximation theorems, nonstarshaped domain and \(q\)-normed spaces. (English) Zbl 1226.41016 Random Oper. Stoch. Equ. 18, No. 2, 165-183 (2010). MSC: 41A65 47H04 47H10 47H40 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Ćirić, Ljubomir; Lakshmikantham, V. Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. (English) Zbl 1176.54030 Stochastic Anal. Appl. 27, No. 6, 1246-1259 (2009). MSC: 54H25 54F05 47H40 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Fierro, Raúl; Martínez, Carlos; Morales, Claudio H. Fixed point theorems for random lower semi-continuous mappings. (English) Zbl 1187.47044 Fixed Point Theory Appl. 2009, Article ID 584178, 7 p. (2009). MSC: 47H40 × Cite Format Result Cite Review PDF Full Text: DOI
Nashine, Hemant Kumar Random approximation for non-commuting random operators in \(q\)-normed spaces. (English) Zbl 1199.41158 Random Oper. Stoch. Equ. 16, No. 4, 383-397 (2008). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 41A50 41A65 47H10 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Kunze, H. E.; La Torre, D.; Vrscay, E. R. Random fixed point equations and inverse problems using “collage method” for contraction mappings. (English) Zbl 1121.47048 J. Math. Anal. Appl. 334, No. 2, 1116-1129 (2007). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47H40 47H10 60H25 65J22 47N30 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Thagafi, M. A.; Shahzad, Naseer Coincidence points, generalized I-nonexpansive multimaps, and applications. (English) Zbl 1125.47038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 7, 2180-2188 (2007). Reviewer: Andrzej Nowak (Katowice) MSC: 47H09 47H10 47H40 41A65 54C60 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Ćirić, Ljubomir B.; Ume, Jeong S.; Ješić, Siniša N. On random coincidence and fixed points for a pair of multivalued and single-valued mappings. (English) Zbl 1129.47312 J. Inequal. Appl. 2006, Article ID 81045, 12 p. (2006). Reviewer: Andrzej Nowak (Katowice) (MR 2007j:47110) MSC: 47H40 47H10 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Shahzad, N. Random fixed points of discontinuous random maps. (English) Zbl 1171.54338 Math. Comput. Modelling 41, No. 13, 1431-1436 (2005). MSC: 54H25 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Guozhen; Duan, Huagui On random fixed point theorems of random monotone operators. (English) Zbl 1097.47052 Appl. Math. Lett. 18, No. 9, 1019-1026 (2005). Reviewer: Poom Kumam (Bangkok) MSC: 47H40 47H05 47B80 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Homotopy and normalization properties for admissible maps. (English) Zbl 1086.47015 Appl. Math. Lett. 18, No. 1, 33-40 (2005). Reviewer: S. L. Singh (Rishikesh) MSC: 47H10 54H25 47H40 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, R. P.; O’Regan, Donal; Sambandham, M. Random and deterministic fixed point theory for generalized contractive maps. (English) Zbl 1088.47044 Appl. Anal. 83, No. 7, 711-725 (2004). Reviewer: Nawab Hussain (Jeddah) MSC: 47H10 47H40 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Beg, Ismat; Khan, A. R.; Hussain, N. Approximation of \(*\)-nonexpansive random multivalued operators on Banach spaces. (English) Zbl 1072.47055 J. Aust. Math. Soc. 76, No. 1, 51-66 (2004). Reviewer: Nan-Jing Huang (Chengdu) MSC: 47H40 47H10 41A65 47H09 60H25 47H04 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Wenxian Dynamics in coupled oscillators with recurrent/random forcing, a PDE approach. (English) Zbl 1047.35062 J. Math. Anal. Appl. 288, No. 2, 586-605 (2003). Reviewer: Yana Belopolskaya (Cleveland) MSC: 35K55 37J45 34C15 35Q99 37L99 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Shahzad, Naseer; Latif, Saadia On random approximations and random fixed point theorems for 1-set-contractive random maps. (English) Zbl 1036.41015 Stochastic Anal. Appl. 21, No. 4, 895-908 (2003). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A50 60H25 47H10 × Cite Format Result Cite Review PDF Full Text: DOI Link
O’Regan, Donal; Agarwal, Ravi P. Fixed point theory for admissible multimaps defined on closed subsets of Fréchet spaces. (English) Zbl 1022.47037 J. Math. Anal. Appl. 277, No. 2, 438-445 (2003). Reviewer: Valerii V.Obukhovskii (Voronezh) MSC: 47H10 47H04 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Sambandham, M. Random degree and essentiality for countably condensing maps. (English) Zbl 1066.47061 Stochastic Anal. Appl. 20, No. 6, 1169-1176 (2002). Reviewer: Andrzej Nowak (MR 2003m:47117) MSC: 47H40 47H11 47H10 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal; Sambandham, M. Random fixed point theory for multivalued countably condensing random operators. (English) Zbl 1068.60085 Stochastic Anal. Appl. 20, No. 6, 1157-1168 (2002). MSC: 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Beg, Ismat Approximation of random fixed points in normed spaces. (English) Zbl 1034.47027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 8, 1363-1372 (2002). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 47H40 47H10 47J25 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, R. P.; O’Regan, D. Fixed-point theorems for countably condensing maps on Fréchet spaces. (English) Zbl 0990.47048 Comput. Math. Appl. 42, No. 6-7, 909-916 (2001). Reviewer: Delfina Roux (Milano) MSC: 47H10 45N05 54H25 47H04 × Cite Format Result Cite Review PDF Full Text: DOI
Shahzad, Naseer Random fixed points of set-valued maps. (English) Zbl 0994.47057 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 6, 689-692 (2001). Reviewer: Andrzej Nowak (Katowice) MSC: 47H40 47H04 60H25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Agarwal, Ravi P.; O’Regan, Donal Cone compression and expansion fixed point theorems in Fréchet spaces with applications. (English) Zbl 0989.47046 J. Differ. Equations 171, No. 2, 412-429 (2001). Reviewer: S.L.Singh (Rishikesh) MSC: 47H10 47H04 47H09 47G20 46A04 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Li Shan Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces. (English) Zbl 1013.47021 Acta Math. Sin., Engl. Ser. 17, No. 1, 103-112 (2001). Reviewer: Jürgen Appell (Würzburg) MSC: 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Ravi P.; O’Regan, Donal Fixed point theory for self maps between Fréchet spaces. (English) Zbl 0997.47044 J. Math. Anal. Appl. 256, No. 2, 498-512 (2001). Reviewer: Radu Precup (Cluj-Napoca) MSC: 47H10 47H09 47H07 47H04 × Cite Format Result Cite Review PDF Full Text: DOI
O’Regan, D. Fixed-point and random fixed-point theorems in cones of Banach spaces. (English) Zbl 0983.47037 Math. Comput. Modelling 32, No. 11-13, 1473-1483 (2000). Reviewer: Vassil Angelov (Sofia) MSC: 47H10 47H40 47H06 47J05 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
O’Regan, D. A multiplicity fixed point theorem in Fréchet spaces. (English) Zbl 0970.47044 Z. Anal. Anwend. 19, No. 3, 853-862 (2000). Reviewer: Lech Górniewicz (Toruń) MSC: 47H10 34G20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Agarwal, Ravi P.; O’Regan, Donal Fixed point theory in Fréchet spaces and variational inequalities. (English) Zbl 0969.47038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 6, 1091-1099 (2000). Reviewer: Vasile Berinde (Baia Mare) MSC: 47H10 47J20 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lishan Random approximations and random fixed point theorems for random 1-set-contractive non-self-maps in abstract cones. (English) Zbl 0953.60053 Stochastic Anal. Appl. 18, No. 1, 125-144 (2000). MSC: 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, R. P.; O’Regan, D. Coincidences for \(DKT\) maps in Fréchet spaces and minimax inequalities. (English) Zbl 1033.47500 Appl. Math. Lett. 12, No. 8, 13-19 (1999). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47H04 47H10 49J35 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Nan-Jing A principle of randomization for coincidence points with applications. (English) Zbl 0945.60057 Appl. Math. Lett. 12, No. 2, 107-113 (1999). Reviewer: B.G.Pachpatte (Aurangabad) MSC: 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
O’Regan, D. Existence and approximation of fixed points for multivalued maps. (English) Zbl 0954.47046 Appl. Math. Lett. 12, No. 6, 37-43 (1999). Reviewer: Stefan Czerwik (Gliwice) MSC: 47H10 47H04 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Shahzad, Naseer; Khan, Liaqat Ali Random fixed point theorems for multivalued acyclic random maps. (English) Zbl 0952.60066 Stochastic Anal. Appl. 17, No. 5, 835-840 (1999). Reviewer: R.K.Bose (New Delhi) MSC: 60H25 47H40 47H10 47B80 × Cite Format Result Cite Review PDF Full Text: DOI
Shahzad, Naseer; Latif, Saadia Random fixed points for several classes of 1-ball-contractive and 1-set-contractive random maps. (English) Zbl 1115.47314 J. Math. Anal. Appl. 237, No. 1, 83-92 (1999). MSC: 47H10 60H25 47B80 × Cite Format Result Cite Review PDF Full Text: DOI
O’Regan, Donal Random fixed point theory for multivalued maps. (English) Zbl 0951.47047 Stochastic Anal. Appl. 17, No. 4, 597-607 (1999). Reviewer: V.Popa (Bacau) MSC: 47H04 47H40 47H09 47H10 60H99 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Shahzad, Naseer; Khan, Liaqat Ali Random fixed points of 1-set contractive random maps in Fréchet spaces. (English) Zbl 0973.47047 J. Math. Anal. Appl. 231, No. 1, 68-75 (1999). Reviewer: Peter Zabreiko (Minsk) MSC: 47H40 47H10 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Beg, Ismat; Shahzad, Naseer Some random approximation theorems with applications. (English) Zbl 0931.60054 Nonlinear Anal., Theory Methods Appl. 35, No. 5, A, 609-616 (1999). Reviewer: A.Nowak (Katowice) MSC: 60H25 47H40 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
O’Regan, Donal A continuation theory for weakly inward maps. (English) Zbl 0919.47046 Glasg. Math. J. 40, No. 3, 311-321 (1998). MSC: 47H10 47H40 × Cite Format Result Cite Review PDF Full Text: DOI
Venturino, Ezio; Saxena, Anjula Smoothing the solutions of history-dependent dynamical systems. (English) Zbl 0909.65141 Numer. Funct. Anal. Optimization 19, No. 5-6, 647-666 (1998). Reviewer: Lubomír Bakule (Praha) MSC: 65R20 45J05 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Sommariva, Alvise; Vianello, Marco Approximating fixed-points of decreasing operators in spaces of continuous functions. (English) Zbl 0907.45006 Numer. Funct. Anal. Optimization 19, No. 5-6, 635-646 (1998). Reviewer: K.Georgiev (Rostov-na-Donu) MSC: 45G10 45N05 45M20 45L05 47H07 47H10 65J15 × Cite Format Result Cite Review PDF Full Text: DOI
Pham Huu Sach; Penot, Jean-Paul Characterizations of generalized convexities via generalized directional derivatives. (English) Zbl 0916.49015 Numer. Funct. Anal. Optimization 19, No. 5-6, 615-634 (1998). Reviewer: B.D.Craven (Parkville) MSC: 49J52 26B25 90C48 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Rubinov, Alexander; Vladimirov, Alexander Convex-along-rays functions and star-shaped sets. (English) Zbl 0910.90231 Numer. Funct. Anal. Optimization 19, No. 5-6, 593-613 (1998). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 90C26 26B25 52A20 90C25 × Cite Format Result Cite Review PDF Full Text: DOI
O’Regan, Donal Nonlinear operator approximation theory. (English) Zbl 0911.47044 Numer. Funct. Anal. Optimization 19, No. 5-6, 587-592 (1998). Reviewer: J.Appell (Würzburg) MSC: 47H04 47J05 47H30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
O’Regan, D. New fixed-points results for 1-set contractive set valued maps. (English) Zbl 0951.47050 Comput. Math. Appl. 35, No. 4, 27-34 (1998). Reviewer: S.L.Singh (Rishikesh) MSC: 47H10 47H40 54H25 47H04 47H09 54C60 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Kok-Keong; Yuan, Xian-Zhi Random fixed point theorems and approximation. (English) Zbl 0892.47060 Stochastic Anal. Appl. 15, No. 1, 103-123 (1997). MSC: 47H10 47H40 41A50 54H25 47H04 47H09 54C60 28A05 28A20 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Xian-Zhi; Yu, Jian Random fixed point theorems for nonself mappings. (English) Zbl 0865.47052 Nonlinear Anal., Theory Methods Appl. 26, No. 6, 1097-1102 (1996). Reviewer: A.Nowak (Katowice) MSC: 47H40 47H10 60H25 × Cite Format Result Cite Review PDF Full Text: DOI