400 research outputs found
Fuzzy relational calculus
No full textWe provide a self contained survey of the state of art of the fuzzy binary relations and some of their applications
An iteration process for nonlinear mappings in uniformly convex linear metric spaces
No full textsummary:We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space
Fixed points of fuzzy monotone maps
No full textsummary:The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved
Best proximity point for q-ordered proximal contraction in noncommutative Banach spaces
No full text[EN] We introduce the concept of q-ordered proximal nonunique contraction for the non self mappings and then obtain some proximity point results for these mappings. We also furnish examples to support our claims.Bartwal, A.; Rawat, S.; Beg, I. (2023). Best proximity point for q-ordered proximal contraction in noncommutative Banach spaces. Applied General Topology. 24(1):101-113. https://doi.org/10.4995/agt.2023.18029OJS101113241S. Aleksić, Z. Kadelburg, Z.D. Mitrović and S. Radenović, A new survey: Cone metric spaces, J. Int. Math. Virtual Inst. 9 (2019), 93-121.I. Altun, B. Damnjanovic and D. Djoric, Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett. 23, no. 3 (2010), 310-316. https://doi.org/10.1016/j.aml.2009.09.016I. Altun, M. Aslantas and H. Sahin, KW-type nonlinear contractions and their best proximity points, Numer. Funct. Anal. Optim. 42, no. 8 (2021), 935-954. https://doi.org/10.1080/01630563.2021.1933526I. Altun, M. Aslantas and H. Sahin, Best proximity point results for p-proximal contractions, Acta. Math. Hung. 162, no. 2 (2020), 393-402. https://doi.org/10.1007/s10474-020-01036-3M. Aslantas, H. Sahin and I. Altun, Best proximity point theorems for cyclic p-contractions with some consequences and applications, Nonlinear Anal.: Model. Control 26, no. 1 (2021), 113-129. https://doi.org/10.15388/namc.2021.26.21415A. Azam, M. Arshad and I. Beg, Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrete Math. 3, no. 2 (2009), 236-241. https://doi.org/10.2298/AADM0902236AA. Azam, I. Beg and M. Arshad, Fixed point in topological vector space valued cone metric spaces, Fixed Point Theory Appl. 2010, Article ID 604084. https://doi.org/10.1155/2010/604084A. Azam and I. Beg, Kannan type mapping in TVS-valued cone metric spaces and their application to Urysohn integral equations, Sarajevo J. Math. 9, no. 22 (2013), 243-255. https://doi.org/10.5644/SJM.09.2.09S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales, Fund. Math. 3, no. 1 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181S. S. Basha, Extensions of Banach's contraction principle, Numer. Funct. Anal. Optim. 31, no. 5 (2010), 569-576. https://doi.org/10.1080/01630563.2010.485713S. S. Basha, Best proximity points: optimal solutions, J. Optim. Theory Appl. 151, no. 1 (2011), 210-216. https://doi.org/10.1007/s10957-011-9869-4S. S. Basha and P. Veeramani, Best approximations and best proximity pairs, Acta Sci. Math. 63 (1997), 289-300.S. S. Basha and P. Veeramani, Best proximity pair theorems for multifunctions with open fibres, J. Approx. Theory 103, no. 1 (2000), 119-129. https://doi.org/10.1006/jath.1999.3415I. Beg, A. Bartwal, S. Rawat and R. C. Dimri, Best proximity points in noncommutative Banach spaces, Comp. Appl. Math. 41 (2022), Paper no. 41. https://doi.org/10.1007/s40314-021-01741-xY. J. Cho, R. Saadati and S .H. Wang, Common fixed point theorems on generalized distance in ordered cone metric spaces, Comp. Math. Appl. 61, no. 4 (2011), 1254-1260. https://doi.org/10.1016/j.camwa.2011.01.004K. J. Chung, Nonlinear contractions in abstract spaces, Kodai Math. J. 4, no. 2 (1981), 288-292. https://doi.org/10.2996/kmj/1138036375K. J. Chung, Remarks on nonlinear contractions, Pac. J. Math. 101, no. 1 (1982), 41-48. https://doi.org/10.2140/pjm.1982.101.41L. B. Ćirić, On some maps with a nonunique fixed point, Publ. Inst. Math. 17, no. 31 (1974), 52-58.W. S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. Theory Methods Appl. 72, no. 5 (2010), 2259-2261. https://doi.org/10.1016/j.na.2009.10.026W. S. Du, New cone fixed point theorems for nonlinear multivalued maps with their applications, Appl. Math. Lett. 24, no. 2 (2011), 172-178. https://doi.org/10.1016/j.aml.2010.08.040A. A. Eldered and P. Veeramani, Existence and convergence for best proximity points, J. Math. Anal. Appl. 323, no. 2 (2006), 1001-1006. https://doi.org/10.1016/j.jmaa.2005.10.081N. Fabiano, Z. Kadelburg, N. Mirkow and S. N. Radenovic, Solving fractional differential equations using fixed point results in generalized metric spaces of Perov's type, TWMS J. App. Eng. Math., to appear.L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 33, no. 2 (2007), 1468-1476. https://doi.org/10.1016/j.jmaa.2005.03.087S. Janković, Z. Kadelburg and S. Radenović, On cone metric spaces: a survey, Nonlinear Anal. Theory Methods Appl. 74, no. 7 (2011), 2591-2601. https://doi.org/10.1016/j.na.2010.12.014Z. Kadelburg, M. Pavlović and S. Radenović, Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces, Comp. Math. Appl. 59, no. 9 (2010), 3148-3159. https://doi.org/10.1016/j.camwa.2010.02.039D. R. Kurepa, Tableaux ramifiés d'ensembles. Espaces pseudo-distanciés, C. R. Math. Acad. Sci. Paris 198 (1934), 1563-1565.P. D. Proinov, A unified theory of cone metric spaces and its applications to the fixed point theory, Fixed Point Theory Appl. 2013, no. 1 (2013), 1-38. https://doi.org/10.1186/1687-1812-2013-103V. S. Raj, Best proximity point theorems for nonself mappings, Fixed Point Theory 14, no. 2 (2013), 447-454.S. Rawat, S. Kukreti and R. C. Dimri, Fixed point results for enriched ordered contractions in noncommutative Banach spaces, J. Anal. 30 (2022), 1555-1566. https://doi.org/10.1007/s41478-022-00418-wH. Sahin, M. Aslantas and I. Altun, Feng-Liu type approach to best proximity point results for multivalued mappings, J. Fixed Point Theory Appl. 22, no. 1 (2020), 1-13. https://doi.org/10.1007/s11784-019-0740-9H. Sahin, M. Aslantas and I. Altun, Best proximity and best periodic points for proximal nonunique contractions, J. Fixed Point Theory Appl. 23, no. 4 (2021), Paper No. 55. https://doi.org/10.1007/s11784-021-00889-7A. Sultana and V. Vetrivel, On the existence of best proximity points for generalized contractions, Appl. Gen. Topol. 15, no. 1 (2014), 55-63. https://doi.org/10.4995/agt.2014.2221Q. Xin and L. Jiang, Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces, Fixed Point Theory Appl. 2014, 2014:30. https://doi.org/10.1186/1687-1812-2014-3
Random fixed points of increasing compact random maps
No full textsummary:Let be a measurable space, be an ordered separable Banach space and let be a nonempty order interval in . It is shown that if is an increasing compact random map such that and for each then possesses a minimal random fixed point and a maximal random fixed point
Does moral anti-theodicy beg the question?
No full textSome philosophers of religion have argued that moral anti-theodicy begs the question. This paper evaluates the arguments from two such philosophers, writing a decade apart—Robert Mark Simpson, and Lauri Snellman. Simpson argues that any global argument against theodicy must allow for the possibility of there existing a plausible theodicy, and that anti-theodical arguments (the argument from insensitivity, the argument from detachment, and the argument from harmful consequences) all implicitly discount this possibility, thus ending up begging the question. Snellman argues that moral anti-theodicies presuppose that some evils cannot be justified, which would presuppose that theodicy is false from the start, which in turn would beg the question against theodicy. The author of the paper argues that Simpson’s arguments rest on an erroneous assumption regarding the nature of anti-theodicy, and that one of Simpson’s arguments sets a problematic standard for argumentation that the author argues we should not accept. It is also argued that Snellman’s argument relies on an unsupported claim from Toby Betenson. Therefore, the author concludes that Simpson and Snellman have not managed to show that moral anti-theodicies beg the question
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