جستجوی مقالات مرتبط با کلیدواژه « contractive mapping » در نشریات گروه « علوم پایه »
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In this paper, we introduce the concept of $\alpha$- $\psi$- f-contractive mappings and get some new common fixed point results,in particular, generalized Lipschitz condition for such mappings incone metric spaces over Banach algebras. Also, we support our results by some examples.Keywords: Cone Metric Space, Contractive Mapping, Weakly Compatible, Common Fixed Point}
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International Journal Of Nonlinear Analysis And Applications, Volume:15 Issue: 1, Jan 2024, PP 49 -60In this article, we extend some recently fixed point theorems in the setting of G−fuzzy metric spaces. We introduce some new concepts of contractions called γ-contractions and γ-weak contractions. We prove some fixed point theorems for mappings providing γ-contractions and γ-weak contractions. On the other hand, we consider a more general class of auxiliary functions in the contractivity condition.Keywords: Fixed point, Contractive Mapping, Weak Contractive mapping, Fuzzy metric space}
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 10, Oct 2023, PP 293 -302The aim of this paper is to establish certain new classes of proximal contraction mappings and establish some bestproximity point theorems for such kinds of mapping, thereby we extend some fixed point theorems for generalizedweakly contractive mappings in metric spaces to the case of non-self mapping.Keywords: Contractive Mapping, weakly contractive mapping, best proximity point, Generalized Proximal Weakly Contractive Mapping}
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We first introduce a novel notion named $C^{*}$-algebra-valued $b_{v}(s)$-metric spaces. Then, we give proofs of the Banach contraction principle, the expansion mapping theorem, and Jungck's theorem in $C^{*}$-algebra-valued $b_{v}(s)$-metric spaces. As an application of our results, we establish a result for an integral equation in a $C^{*}$-algebra-valued $b_{v}(s)$-metric space. Finally, a numerical method is presented to solve the proposed integral equation, and the convergence of this method is also studied. Moreover, a numerical example is given to show applicability and accuracy of the numerical method and guarantee the theoretical results.
Keywords: $C^{*}$-algebra, $b, {v}(s)$-metric space, Fixed point theorem, Integral equation, Contractive mapping} -
The aim of this paper is to establish the structure of C∗-algebra-valued b2-metric space and give some xed point theorems forself-maps with contractive or expansive conditions on such spaces. Asan application we investigate existence and uniqueness solution for atype of integral equation.
Keywords: C ∗ -algebra, contractive mapping, expansive mapping, xed point, integral equation} -
We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.Keywords: Fuzzy metric space, Fuzzy quasi, contractive mapping, Fixed point}
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In this paper we study the existence of fixed points for mappings defined on complete metric spaces, satisfying a general contractive inequality depending on two additional mappings.Keywords: metric space, fixed point, contractive mapping, sequentially convergent}
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In this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results [6] as well as Ciri´c results [7]. An example is given to support the usability of ´ our results
Keywords: Metric space, Common fixed point, Contractive mapping, Weakly compatible} -
In this paper xed point and coincidence results are presented for two and three single-valued map- pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi (2008).Keywords: Common Fixed Point, Contractive Mapping, Weakly Compatible, Nondecreasing}
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