Sign inSubmit
Tips: “quotes” for a phrase · author:Lee · a DOI goes straight to its article

8 articles for “{a,b,c}-contraction mapping”
Set a search alert
Research ArticleOpen accessEvery word in the titleSome Generalized Fixed Point Theorems of Contraction Type Mappings in Quasi Metric SpacesSahar Mohamed Ali Abou BakrThis paper adjusts conditions on new defined given the name {a, d, c; r} ctype of contraction mappings on complete quasi metric space, confirms that there is only one fixed of any of these mappings with these adjustments, extends and generalizes results given in some previous research papers, and then builds a convergence theorem for a sequence of fixed points … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 16 Oct 2017 · 7,203 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn Fixed Point Theorem of C Class Functions - B Weak Cyclic MappingsSahar Mohamed Ali Abou Bakr, Arslan Hojat AnsariNew B-𝔘-cyclic weak contraction C-class function concept has been introduced, B-𝔘-cyclic weak F-φ-Φ-contraction types of mapping are defined and the existence of fixed point for such types has been proved. These results mainly generalize fixed point theorems in some previous research papers. …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 3 Oct 2017 · 7,007 accessesView PDFCite
Research ArticleOpen accessIn the keywordsFixed Point Theorems for Mappings Satisfying Weak Nonexpansivity Condition (Weak Contractivity Condition) into (from) Cartesian Products Normed SpacesSahar Mohamed Ali Abou BakrThis paper suggests new types of weak nonexpansive mappings defined from normed space X into its Cartesian product X × X, studies the main features of the fixed points for those mappings and extends the concept of (C)-contractivity condition introduced in some previous research papers. On other side, it introduces new types of contraction mappings with a mixed monotone property; … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 11 Apr 2017 · 6,961 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGeneralization of Banach Contraction Principle in Two DirectionsE. El-Shobaky, Sahar Mohamed Ali, Montaser Saudi AliWe showed that the generalized contraction mapping defined on a closed convex subset of a weakly Cauchy normed space has a unique fixed point. Moreover, the sequence of iterates of any element in the domain of the given mapping is converging strongly to the fixed point of such a mapping. …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,761 accessesView PDFCite
Research ArticleOpen accessIn the keywordsReduced Assumption in the Banach Contraction PrincipleSahar M. AliIn this study we introduce a novel class of normed spaces called weakly Cauchy normed spaces not necessarily complete in general and proved the existence of a fixed point of contraction mappings in these spaces, this is weaker assumption than the completeness assumption imposed on the given normed space on the other side the contraction condition valid only on a … …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 6,825 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCommon Fixed Points of Generalized Cyclic C Class Ψ-ɸ-Λ Weak Nonexpansive MappingsSahar Mohamed Ali Abou BakrThis paper shows that if S and T are two joint generalized cyclic F-Ψ-ɸ-Λ weak nonexpansive type mappings, then they have only one common fixed point. In particular, every generalized cyclic C class Ψ-ɸ-Λ weak nonexpansive mapping has a unique fixed point. Hence it extends the results of the attached references of this paper. …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 Mar 2020 · 6,497 accessesView PDFCite
Research ArticleOpen accessIn the abstractAbstract Fixed Points of Set-valued MappingsE. El. Shobaky, Sahar Mohamed Ali, Montaser S. AliWe defined new concept of complete sequences of equivalence relations on a given abstract set on which no topology is considered, the concept of contraction mappings with respect to these sequences, proved the existence of a fixed point of a multivalued and in particular single valued mappings T on the given abstract set. …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 6,691 accessesView PDFCite