Prakash, N.; Sangeetha, K. V. Proximinal faces of some Banach spaces. (English) Zbl 07654664 Ann. Funct. Anal. 14, No. 2, Paper No. 37, 20 p. (2023). MSC: 46B20 41A65 46A55 41A50 47A58 PDF BibTeX XML Cite \textit{N. Prakash} and \textit{K. V. Sangeetha}, Ann. Funct. Anal. 14, No. 2, Paper No. 37, 20 p. (2023; Zbl 07654664) Full Text: DOI OpenURL
Shukri, Sami Geometrical properties of \(l_p\) spaces. (English) Zbl 07396564 Fixed Point Theory 22, No. 2, 881-886 (2021). Reviewer: Erdal Karapinar (Taichung) MSC: 47H10 47H09 46B45 PDF BibTeX XML Cite \textit{S. Shukri}, Fixed Point Theory 22, No. 2, 881--886 (2021; Zbl 07396564) Full Text: Link OpenURL
Alimov, A. R. Bounded contractibility of strict suns in three-dimensional spaces. (English. Russian original) Zbl 1452.46010 J. Math. Sci., New York 250, No. 3, 385-390 (2020); translation from Fundam. Prikl. Mat. 22, No. 1, 3-11 (2018). Reviewer: Stefan Cobzaş (Cluj-Napoca) (MR3914355) MSC: 46B20 41A65 52A30 54C65 54C55 55M15 PDF BibTeX XML Cite \textit{A. R. Alimov}, J. Math. Sci., New York 250, No. 3, 385--390 (2020; Zbl 1452.46010); translation from Fundam. Prikl. Mat. 22, No. 1, 3--11 (2018) Full Text: DOI OpenURL
Kadets, Vladimir; López, Ginés; Martín, Miguel; Werner, Dirk Equivalent norms with an extremely nonlineable set of norm attaining functionals. (English) Zbl 1435.46006 J. Inst. Math. Jussieu 19, No. 1, 259-279 (2020). Reviewer: Olav Nygaard (Kristiansand) MSC: 46B03 46B04 46B87 00A27 PDF BibTeX XML Cite \textit{V. Kadets} et al., J. Inst. Math. Jussieu 19, No. 1, 259--279 (2020; Zbl 1435.46006) Full Text: DOI arXiv OpenURL
Lalitha, C. S. Convex sets in finite and infinite dimensional spaces. (English) Zbl 07677927 Gaṇita 68, No. 3, 43-54 (2018). MSC: 46A55 46N10 52A05 PDF BibTeX XML Cite \textit{C. S. Lalitha}, Gaṇita 68, No. 3, 43--54 (2018; Zbl 07677927) Full Text: Link OpenURL
Rao, T. S. S. R. K. Simultaneous proximinality in spaces of Bochner integrable functions. (English) Zbl 1416.46041 Numer. Funct. Anal. Optim. 39, No. 11, 1221-1227 (2018). Reviewer: Alexey Alimov (Moskva) MSC: 46E40 46B20 41A65 PDF BibTeX XML Cite \textit{T. S. S. R. K. Rao}, Numer. Funct. Anal. Optim. 39, No. 11, 1221--1227 (2018; Zbl 1416.46041) Full Text: DOI OpenURL
Rasham, Tahair; Shoaib, Abdullah; Hussain, Nawab; Arshad, Muhammad; Khan, Sami Ullah Common fixed point results for new Ciric-type rational multivalued \(F\)-contraction with an application. (English) Zbl 1489.54208 J. Fixed Point Theory Appl. 20, No. 1, Paper No. 45, 16 p. (2018). MSC: 54H25 54C60 54E40 54E50 45G15 PDF BibTeX XML Cite \textit{T. Rasham} et al., J. Fixed Point Theory Appl. 20, No. 1, Paper No. 45, 16 p. (2018; Zbl 1489.54208) Full Text: DOI OpenURL
Shams Abad, S. M. Mousavi; Mazaheri, H.; Dehghan, M. A. Proximinality and remotality in normed linear spaces. (English) Zbl 1408.41032 J. Mahani Math. Res. Cent. 6, No. 2, 73-80 (2017). MSC: 41A65 41A52 46N10 PDF BibTeX XML Cite \textit{S. M. M. Shams Abad} et al., J. Mahani Math. Res. Cent. 6, No. 2, 73--80 (2017; Zbl 1408.41032) Full Text: DOI OpenURL
Meng, Qingfeng; Luo, Zhenghua; Shi, Huihua A remark on the sum of simultaneously proximinal subspaces. (Chinese. English summary) Zbl 1399.46019 J. Xiamen Univ., Nat. Sci. 56, No. 4, 551-554 (2017). MSC: 46B20 PDF BibTeX XML Cite \textit{Q. Meng} et al., J. Xiamen Univ., Nat. Sci. 56, No. 4, 551--554 (2017; Zbl 1399.46019) Full Text: DOI OpenURL
Al-Sharif, Sh.; Al-Qahtani, M. Some properties of a new kind of downward sets in certain Banach spaces. (English) Zbl 1392.46023 Ital. J. Pure Appl. Math. 38, 401-413 (2017). MSC: 46B42 41A65 PDF BibTeX XML Cite \textit{Sh. Al-Sharif} and \textit{M. Al-Qahtani}, Ital. J. Pure Appl. Math. 38, 401--413 (2017; Zbl 1392.46023) Full Text: Link OpenURL
Flerov, A. A. Sets with at most two-valued metric projection on a normed plane. (English. Russian original) Zbl 1372.46016 Math. Notes 101, No. 2, 352-364 (2017); translation from Mat. Zametki 101, No. 2, 286-301 (2017). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46B20 41A65 52A10 52A21 PDF BibTeX XML Cite \textit{A. A. Flerov}, Math. Notes 101, No. 2, 352--364 (2017; Zbl 1372.46016); translation from Mat. Zametki 101, No. 2, 286--301 (2017) Full Text: DOI OpenURL
Goudarzi, Hamid Reza t-proximinal sets in fuzzy normed spaces. (English) Zbl 1356.46064 J. Fuzzy Set Valued Anal. 2016, No. 1, 19-27 (2016). MSC: 46S40 PDF BibTeX XML Cite \textit{H. R. Goudarzi}, J. Fuzzy Set Valued Anal. 2016, No. 1, 19--27 (2016; Zbl 1356.46064) OpenURL
Al-Sharif, Sh.; Qaraman, Kh. Some results on \(f\)-simultaneous Chebyshev approximation. (English) Zbl 1355.41010 Appl. Appl. Math. 11, No. 2, 957-969 (2016). MSC: 41A28 41A50 26D15 PDF BibTeX XML Cite \textit{Sh. Al-Sharif} and \textit{Kh. Qaraman}, Appl. Appl. Math. 11, No. 2, 957--969 (2016; Zbl 1355.41010) Full Text: Link OpenURL
García-Pacheco, F. J.; Hill, J. R. Advances on Ricceri’s most famous conjecture. (English) Zbl 1391.46024 Filomat 29, No. 4, 829-838 (2015). MSC: 46B20 46A55 PDF BibTeX XML Cite \textit{F. J. García-Pacheco} and \textit{J. R. Hill}, Filomat 29, No. 4, 829--838 (2015; Zbl 1391.46024) Full Text: DOI OpenURL
García-Pacheco, Francisco J.; Hill, Justin R. A partial positive solution to a conjecture of Ricceri. (English) Zbl 1367.52002 Topol. Methods Nonlinear Anal. 46, No. 1, 57-67 (2015). MSC: 52A07 15A03 46A55 46B20 PDF BibTeX XML Cite \textit{F. J. García-Pacheco} and \textit{J. R. Hill}, Topol. Methods Nonlinear Anal. 46, No. 1, 57--67 (2015; Zbl 1367.52002) Full Text: DOI OpenURL
Rohani, Z.; Mazaheri, H.; Jesmani, S. J. Best proximation of fuzzy real numbers. (English) Zbl 1356.03094 J. Fuzzy Set Valued Anal. 2014, Article ID 00203, 6 p. (2014). MSC: 03E72 PDF BibTeX XML Cite \textit{Z. Rohani} et al., J. Fuzzy Set Valued Anal. 2014, Article ID 00203, 6 p. (2014; Zbl 1356.03094) Full Text: DOI OpenURL
Akuchu, B. G.; Nse, C. A. Weak and strong convergence results for certain classes of multivalued mappings in Hilbert spaces. (English) Zbl 1304.47074 Int. J. Funct. Anal. Oper. Theory Appl. 6, No. 1, 29-46 (2014). MSC: 47J25 47H04 PDF BibTeX XML Cite \textit{B. G. Akuchu} and \textit{C. A. Nse}, Int. J. Funct. Anal. Oper. Theory Appl. 6, No. 1, 29--46 (2014; Zbl 1304.47074) Full Text: Link OpenURL
Isiogugu, Felicia O. Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces. (English) Zbl 1304.47077 Fixed Point Theory Appl. 2013, Paper No. 61, 14 p. (2013). MSC: 47J25 47H04 47H09 PDF BibTeX XML Cite \textit{F. O. Isiogugu}, Fixed Point Theory Appl. 2013, Paper No. 61, 14 p. (2013; Zbl 1304.47077) Full Text: DOI OpenURL
Sun, Longfa; Luo, Zhenghua On the sum of strongly proximinal sets. (Chinese. English summary) Zbl 1289.46034 J. Xiamen Univ., Nat. Sci. 52, No. 3, 312-315 (2013). MSC: 46B50 41A65 PDF BibTeX XML Cite \textit{L. Sun} and \textit{Z. Luo}, J. Xiamen Univ., Nat. Sci. 52, No. 3, 312--315 (2013; Zbl 1289.46034) Full Text: DOI OpenURL
Luo, Zhenghua; Sun, Longfa On the sum of weakly compact sets and proximinal sets. (Chinese. English summary) Zbl 1289.46033 J. Xiamen Univ., Nat. Sci. 52, No. 2, 157-159 (2013). MSC: 46B50 41A65 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{L. Sun}, J. Xiamen Univ., Nat. Sci. 52, No. 2, 157--159 (2013; Zbl 1289.46033) Full Text: DOI OpenURL
Luo, Xian-Fa; Li, Chong; Xu, Hong-Kun; Yao, Jen-Chih Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\). (English) Zbl 1232.46037 J. Approx. Theory 163, No. 9, 1300-1316 (2011). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 46E40 41A65 46B22 PDF BibTeX XML Cite \textit{X.-F. Luo} et al., J. Approx. Theory 163, No. 9, 1300--1316 (2011; Zbl 1232.46037) Full Text: DOI OpenURL
Khalil, Roshdi; Al Dabbas, Eman Characterization of isometric operators through remotality. (English) Zbl 1211.46007 Int. Math. Forum 5, No. 29-32, 1507-1513 (2010). MSC: 46B04 46B20 PDF BibTeX XML Cite \textit{R. Khalil} and \textit{E. Al Dabbas}, Int. Math. Forum 5, No. 29--32, 1507--1513 (2010; Zbl 1211.46007) Full Text: Link OpenURL
Zhang, Zihou; Shi, Zhongrui Convexities and approximative compactness and continuity of metric projection in Banach spaces. (English) Zbl 1190.46018 J. Approx. Theory 161, No. 2, 802-812 (2009). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 46B20 41A65 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{Z. Shi}, J. Approx. Theory 161, No. 2, 802--812 (2009; Zbl 1190.46018) Full Text: DOI OpenURL
He, Jinsu; Li, Chong Generalized derivatives of distance functions and the existence of nearest points. (English) Zbl 1172.46006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2575-2581 (2009). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46B20 41A65 46G05 46N10 PDF BibTeX XML Cite \textit{J. He} and \textit{C. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2575--2581 (2009; Zbl 1172.46006) Full Text: DOI OpenURL
Bandyopadhyay, Pradipta; Li, Yongjin; Lin, Bor-Luh; Narayana, Darapaneni Proximinality in Banach spaces. (English) Zbl 1138.46008 J. Math. Anal. Appl. 341, No. 1, 309-317 (2008). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46B20 41A65 PDF BibTeX XML Cite \textit{P. Bandyopadhyay} et al., J. Math. Anal. Appl. 341, No. 1, 309--317 (2008; Zbl 1138.46008) Full Text: DOI OpenURL
Dutta, S. Generalized subdifferential of the distance function. (English) Zbl 1088.49012 Proc. Am. Math. Soc. 133, No. 10, 2949-2955 (2005). Reviewer: Daniel Wulbert (La Jolla) MSC: 49J52 41A65 46B20 PDF BibTeX XML Cite \textit{S. Dutta}, Proc. Am. Math. Soc. 133, No. 10, 2949--2955 (2005; Zbl 1088.49012) Full Text: DOI OpenURL
Fonf, Vladimir P.; Lindenstrauss, Joram Some results on infinite-dimensional convexity. (English) Zbl 0930.46011 Isr. J. Math. 108, 13-32 (1998). Reviewer: S.S.Kutateladze (Novosibirsk) MSC: 46A55 52A05 PDF BibTeX XML Cite \textit{V. P. Fonf} and \textit{J. Lindenstrauss}, Isr. J. Math. 108, 13--32 (1998; Zbl 0930.46011) Full Text: DOI OpenURL
Carbone, A.; Singh, S. P. On Fan’s best approximation and applications. (English) Zbl 0883.41012 Rend. Semin. Mat., Torino 54, No. 1, 35-52 (1996). Reviewer: R.Mortini (Metz) MSC: 41A50 PDF BibTeX XML Cite \textit{A. Carbone} and \textit{S. P. Singh}, Rend. Semin. Mat., Torino 54, No. 1, 35--52 (1996; Zbl 0883.41012) OpenURL
Lin, Pei-Kee A remark on the sum of proximinal subspaces. (English) Zbl 0688.41039 J. Approximation Theory 58, No. 1, 55-57 (1989). Reviewer: D.Zarnadze MSC: 41A65 41A50 PDF BibTeX XML Cite \textit{P.-K. Lin}, J. Approx. Theory 58, No. 1, 55--57 (1989; Zbl 0688.41039) Full Text: DOI OpenURL
Freese, Raymond; Murphy, Grattan; Andalafte, Edward Strict convexity in M-spaces. (English) Zbl 0684.54019 J. Geom. 34, No. 1-2, 42-49 (1989). Reviewer: J.E.Martinez-Legaz MSC: 54E35 41A65 46A55 PDF BibTeX XML Cite \textit{R. Freese} et al., J. Geom. 34, No. 1--2, 42--49 (1989; Zbl 0684.54019) Full Text: DOI OpenURL
Part, Sung Ho A relationship between the 1\(\frac12\)-ball property and the strong 1\(\frac12\)-ball property. (English) Zbl 0679.46014 J. Approximation Theory 57, No. 3, 332-346 (1989). Reviewer: S.V.Kislyakov MSC: 46B20 41A65 41A50 PDF BibTeX XML Cite \textit{S. H. Part}, J. Approx. Theory 57, No. 3, 332--346 (1989; Zbl 0679.46014) Full Text: DOI OpenURL
Giles, J. R. Differentiability of distance functions and a proximinal property inducing convexity. (English) Zbl 0692.41036 Proc. Am. Math. Soc. 104, No. 2, 458-464 (1988). MSC: 41A65 46B20 PDF BibTeX XML Cite \textit{J. R. Giles}, Proc. Am. Math. Soc. 104, No. 2, 458--464 (1988; Zbl 0692.41036) Full Text: DOI OpenURL
Kaneko, Hideaki Generalized contractive multivalued mappings and their fixed points. (English) Zbl 0647.54038 Math. Jap. 33, No. 1, 57-64 (1988). Reviewer: D.Roux MSC: 54H25 PDF BibTeX XML Cite \textit{H. Kaneko}, Math. Japon. 33, No. 1, 57--64 (1988; Zbl 0647.54038) OpenURL
Edelstein, Michael Antiproximal sets. (English) Zbl 0618.41028 J. Approximation Theory 49, 252-255 (1987). Reviewer: I.Şerb MSC: 41A65 41A50 46B20 PDF BibTeX XML Cite \textit{M. Edelstein}, J. Approx. Theory 49, 252--255 (1987; Zbl 0618.41028) Full Text: DOI OpenURL
Khalil, Roshdi Chebeshev sets and strictly convex metric spaces. (English) Zbl 0606.54024 Tamkang J. Math. 17, No. 3, 9-12 (1986). MSC: 54E35 41A50 41A65 PDF BibTeX XML Cite \textit{R. Khalil}, Tamkang J. Math. 17, No. 3, 9--12 (1986; Zbl 0606.54024) OpenURL
Klee, Victor Do infinite-dimensional Banach spaces admit nice tilings? (English) Zbl 0577.52007 Stud. Sci. Math. Hung. 21, 415-427 (1986). MSC: 52C17 52A07 46B20 46A55 46A45 46C05 52C07 41A65 41A50 PDF BibTeX XML Cite \textit{V. Klee}, Stud. Sci. Math. Hung. 21, 415--427 (1986; Zbl 0577.52007) OpenURL
Haußmann, Werner; Zeller, Karl Mixed norm multivariate approximation with blending functions. (English) Zbl 0597.41019 Constructive theory of functions, Proc. Int. Conf., Varna/Bulg. 1984, 403-408 (1984). MSC: 41A30 PDF BibTeX XML OpenURL
Godini, G. On a problem of H. Berens. (English) Zbl 0534.41022 Math. Ann. 263, 279-288 (1983). Reviewer: P.L.Papini MSC: 41A65 41A52 46C99 PDF BibTeX XML Cite \textit{G. Godini}, Math. Ann. 263, 279--288 (1983; Zbl 0534.41022) Full Text: DOI EuDML OpenURL
Sastry, K. P. R.; Naidu, S. V. R. Proximity and ball convexity in metric linear spaces. (English) Zbl 0519.46011 Tamkang J. Math. 14, 5-7 (1983). MSC: 46A55 46A04 52A01 PDF BibTeX XML Cite \textit{K. P. R. Sastry} and \textit{S. V. R. Naidu}, Tamkang J. Math. 14, 5--7 (1983; Zbl 0519.46011) OpenURL
Coyette, Michel Characterisations des espaces normes lisses. (French) Zbl 0528.46016 Ann. Soc. Sci. Bruxelles, Sér. I 96, 139-142 (1982). MSC: 46B20 PDF BibTeX XML Cite \textit{M. Coyette}, Ann. Soc. Sci. Brux., Sér. I 96, 139--142 (1982; Zbl 0528.46016) OpenURL
Şerb, Ioan On the multi-valued metric projection in normed vector spaces. II. (English) Zbl 0511.41037 Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 11, 155-166 (1982). MSC: 41A65 41A50 PDF BibTeX XML Cite \textit{I. Şerb}, Math. Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 11, 155--166 (1982; Zbl 0511.41037) OpenURL
Franchetti, C.; Cheney, E. W. Best approximation problems for multivariate functions. (English) Zbl 0485.41025 Boll. Unione Mat. Ital., V. Ser., B 18, 1003-1015 (1981). MSC: 41A50 PDF BibTeX XML Cite \textit{C. Franchetti} and \textit{E. W. Cheney}, Boll. Unione Mat. Ital., V. Ser., B 18, 1003--1015 (1981; Zbl 0485.41025) OpenURL
Klee, Victor Dispersed Chebyshev sets and coverings by balls. (English) Zbl 0453.41021 Math. Ann. 257, 251-260 (1981). MSC: 41A50 41A65 PDF BibTeX XML Cite \textit{V. Klee}, Math. Ann. 257, 251--260 (1981; Zbl 0453.41021) Full Text: DOI EuDML OpenURL
Respess, John; Cheney, E. W. Approximation problems in tensor product spaces. (English) Zbl 0494.41024 Approximation theory III, Proc. Conf. Hon. G.G. Lorentz, Austin/ Tex. 1980, 729-734 (1980). MSC: 41A65 PDF BibTeX XML OpenURL
Chatterjee, Dipak \(M\)-convexity and best approximation. (English) Zbl 0485.41024 Publ. Inst. Math., Nouv. Sér. 28(42), 43-50 (1980). MSC: 41A50 47H10 PDF BibTeX XML Cite \textit{D. Chatterjee}, Publ. Inst. Math., Nouv. Sér. 28(42), 43--50 (1980; Zbl 0485.41024) Full Text: EuDML EMIS OpenURL
Precupanu, Teodor Duality in best approximation problem. (English) Zbl 0442.41029 An. Stiint. Univ. Al. I. Cuza Iasi, N. Ser., Sect. Ia 26, 23-30 (1980). MSC: 41A65 41A50 46B20 PDF BibTeX XML OpenURL
Yost, David T. Best approximation and intersections of balls in Banach spaces. (English) Zbl 0407.41015 Bull. Aust. Math. Soc. 20, 297-312 (1979). MSC: 41A65 41A50 46B99 PDF BibTeX XML Cite \textit{D. T. Yost}, Bull. Aust. Math. Soc. 20, 297--312 (1979; Zbl 0407.41015) Full Text: DOI OpenURL
Lau, Ka-Sing Best approximation by closed sets in Banach spaces. (English) Zbl 0399.41026 J. Approximation Theory 23, 29-36 (1978). MSC: 41A50 41A52 41A65 PDF BibTeX XML Cite \textit{K.-S. Lau}, J. Approx. Theory 23, 29--36 (1978; Zbl 0399.41026) Full Text: DOI OpenURL
Narang, T. D. Proximinal sets in locally convex metric linear spaces. (English) Zbl 0439.41026 Math. J., Ranchi Univ. 7, 98-101 (1976). MSC: 41A65 41A50 PDF BibTeX XML OpenURL