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Unified common fixed point theorems under weak reciprocal continuity or without continuity

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Unified common fixed point theorems under weak reciprocal continuity or without continuity

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dc.contributor.author Kadelburg, Zoran es_ES
dc.contributor.author Imdad, Mohammad es_ES
dc.contributor.author Chauhan, Sunny es_ES
dc.date.accessioned 2014-10-23T10:17:20Z
dc.date.available 2014-10-23T10:17:20Z
dc.date.issued 2014-04-07
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/43554
dc.description.abstract [EN] The purpose of this paper is two fold. Firstly, using the notion of weak reciprocal continuity due to Pant et al. Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara Sez. VII Sci. Mat. 57(1), 181-190 (2011)], we prove unified common fixed point theorems for various variants of compatible and $R$-weakly commuting mappings in complete metric spaces employing an implicit relation which covers a multitude of contraction conditions yielding thereby known as well as unknown results as corollaries. Secondly, we point out that more natural results can be proved under relatively tighter conditions if we replace the completeness of the space by completeness of suitable subspaces. The realized improvements in our results are also substantiated using appropriate examples. es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Metric space es_ES
dc.subject Compatible mappings es_ES
dc.subject R-weakly commuting mappings es_ES
dc.subject weak reciprocal continuity es_ES
dc.subject Coincidentally commuting es_ES
dc.subject Implicit relation es_ES
dc.title Unified common fixed point theorems under weak reciprocal continuity or without continuity es_ES
dc.type Artículo es_ES
dc.date.updated 2014-10-23T07:47:25Z
dc.identifier.doi 10.4995/agt.2014.1823
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Kadelburg, Z.; Imdad, M.; Chauhan, S. (2014). Unified common fixed point theorems under weak reciprocal continuity or without continuity. Applied General Topology. 15(1):65-84. https://doi.org/10.4995/agt.2014.1823 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2014.1823 es_ES
dc.description.upvformatpinicio 65 es_ES
dc.description.upvformatpfin 84 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references J. Ali and M. Imdad, An implicit function implies several contraction conditions, Sarajevo J. Math. 4, no. 2 (2008), 269-285. es_ES
dc.description.references S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133-181. es_ES
dc.description.references B. C. Dhage, On common fixed points of coincidentally commuting mappings in $D$-metric spaces, Indian J. Pure Appl. Math. 30, no. 4 (1999), 395-406. es_ES
dc.description.references Husain, S. A., & Sehgal, V. M. (1975). On common fixed points for a family of mappings. Bulletin of the Australian Mathematical Society, 13(2), 261-267. doi:10.1017/s000497270002445x es_ES
dc.description.references M. Imdad and J. Ali, Reciprocal continuity and common fixed points of nonself mappings, Taiwanese J. Math. 13, no. 5 (2009), 1457-1473. es_ES
dc.description.references Imdad, M., Ali, J., & Tanveer, M. (2009). Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces. Chaos, Solitons & Fractals, 42(5), 3121-3129. doi:10.1016/j.chaos.2009.04.017 es_ES
dc.description.references M. Imdad and Q. H. Khan, Six mappings satisfying a rational inequality, Rad. Mat. 9, no. 2 (1999), 251-260. es_ES
dc.description.references Imdad, M., Khan, M. S., & Sessa, S. (1988). On some weak conditions of commutativity in common fixed point theorems. International Journal of Mathematics and Mathematical Sciences, 11(2), 289-296. doi:10.1155/s0161171288000353 es_ES
dc.description.references M. Imdad, S. Kumar and M. S. Khan, Remarks on some fixed point theorems satisfying implicit relations. Rad. Mat. 11, no. 1 (2002), 135-143. es_ES
dc.description.references Jungck, G. (1976). Commuting Mappings and Fixed Points. The American Mathematical Monthly, 83(4), 261. doi:10.2307/2318216 es_ES
dc.description.references Jungck, G. (1986). Compatible mappings and common fixed points. International Journal of Mathematics and Mathematical Sciences, 9(4), 771-779. doi:10.1155/s0161171286000935 es_ES
dc.description.references G. Jungck and B. E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math. 29, no. 3 (1998), 227-238. es_ES
dc.description.references M. S. Khan and M. Imdad, A common fixed point theorem for a class of mappings, Indian J. Pure Appl. Math. 14 (1983), 1220-1227. es_ES
dc.description.references S. Kumar and R. Chugh, Common fixed points theorem using minimal commutativity and reciprocal continuity conditions in metric space, Sci. Math. Japon. 56, no. 2 (2002), 269-275. es_ES
dc.description.references Murthy, P. P. (2001). Important tools and possible applications of metric fixed point theory. Nonlinear Analysis: Theory, Methods & Applications, 47(5), 3479-3490. doi:10.1016/s0362-546x(01)00465-5 es_ES
dc.description.references Pant, R. P. (1994). Common Fixed Points of Noncommuting Mappings. Journal of Mathematical Analysis and Applications, 188(2), 436-440. doi:10.1006/jmaa.1994.1437 es_ES
dc.description.references R. P. Pant, Common fixed points of four mappings, Bull. Cal. Math. Soc. 90 (1998), 281-286. es_ES
dc.description.references R. P. Pant, Noncompatible mappings and common fixed points, Soochow J. Math. 26 (2000), 29-35. es_ES
dc.description.references Pant, R. P., Bisht, R. K., & Arora, D. (2011). Weak reciprocal continuity and fixed point theorems. ANNALI DELL’UNIVERSITA’ DI FERRARA, 57(1), 181-190. doi:10.1007/s11565-011-0119-3 es_ES
dc.description.references H. K. Pathak, Y. J. Cho and S. M. Kang, Remarks on $R$-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc. 34, no. 2 (1997), 247-257. es_ES
dc.description.references H. K. Pathak and M. S. Khan, A comparison of various types of compatible maps and common fixed points, Indian J. Pure Appl. Math. 28, no. 4 (1997), 477-485. es_ES
dc.description.references V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32, no. 1 (1999), 157-163. es_ES
dc.description.references V. Popa, M. Imdad and J. Ali, Fixed point theorems for a class of mappings governed by strictly contractive implicit function, Southeast Asian Bulletin of Math. 34, no. 5 (2010), 941-952. es_ES
dc.description.references S. L. Singh and A. Tomar, Weaker forms of commuting maps and existence of fixed points, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 10, no. 3 (2003), 145-161. es_ES


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