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Fixed Point of a Countable Family of Uniformly Totally Quasi- &Oslash-Asymptotically Nonexpansive Multi-Valued mappings in Reflexive Banach Spaces with Applications

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Applied Mathematics 2013年第9期4卷 6-12页

作者： Yi Li School of Science Southwest University of Science and Technology Mianyang China

The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- ? -asymptotically nonexpansive multi-valued mappings and establish some strong convergence theorems under certain conditions. We utilize the theorems to study a modified Halpern-type iterative algorithm for a system of equilibrium problems. The results improve and extend the corresponding results of Chang et al. (Applied Mathematics and Computation, 218, 6489-6497).

关键词： Multi-Valued Mapping Totally Quasi- Ø -Asymptotically Nonexpansive Countable Family of Uniformly Totally Quasi- Ø -Asymptotically Nonexpansive Multi-Valued mappings Firmly Convergence

A New Look for Starlike Logharmonic mappings

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Applied Mathematics 2014年第7期5卷 1053-1060页

作者： Zayid Abdulhadi Department of Mathematics American University of Sharjah Sharjah UAE

A function f(z) defined on the unit disc U is said to be logharmonic if it is the solution of the nonlinear elliptic partial differential equation where such that . These mappings admit a global representation of the form where In this paper,we shall consider the logharmonic mappings , where is starlike. Distortion theorem and radius of starlikess are obtained. Moreover, we use star functions to determine the integral means for these mappings. An upper bound for the arclength is included.

关键词： A New Look for Starlike Logharmonic mappings

A Common Fixed Point Theorem for Compatible mappings of Type (C)

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Advances in Pure Mathematics 2011年第5期1卷 267-273页

作者： M. Rangamma Swathi Mathur P. Srikanth Rao 不详

We establish a common fixed-point theorem for six self maps under the compatible mappings of type (C) with a contractive condition [1], which is independent of earlier contractive conditions.

关键词： Fixed Point Compatible mappings of Type (C) Complete Metric Space

A Quantum Representation of the Homogeneous 5D Manifold and the Perelman mappings of 5D onto Non-Homogeneous Lorentz 4D Manifolds

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Journal of Modern Physics 2019年第5期10卷 557-575页

作者： Kai Wai Wong Peter Chin Wan Fung Wan Ki Chow Department of Physics and Astronomy University of Kansas Lawrence USA Department of Physics and Centre on Behavioral Health University of Hong Kong Hong Kong China Department of Building Services Engineering The Hong Kong Polytechnic University Hong Kong China

The expression of the Maxwell magnetic monopole was employed to correlate the space to space projection that gives rise to the Gell-Mann standard model, and space to time projection which gives the leptons;and how does it correlate to the Perelman mappings from the homogeneous 5D manifold to the Lorentz 4D manifold, together with correlating the physical consequences caused by the breaking of the Diagonal Long Range Order [DLRO] of the monopoles quantum states affected by the motion of massive particles in the Lorentz 4D boundary of the 5D manifold, which leads to gravitons and the gravity field via the General Relativity covariant Riemannian 4D curvatures metric equation.

关键词： 5D Homogeneous Manifold Perelman mappings Magnetic Monopoles Space Projections and Topological Symmetries Covariant Riemannian Curvature and Gravity

Coupled Fixed Point for (α, Ψ)-Contractive in Partially Ordered Metric Spaces Using Compatible mappings

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Applied Mathematics 2015年第8期6卷 1380-1388页

作者： Preeti Sanjay Kumar Department of Mathematics DCRUST Sonepat India

In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and g... 详细信息

关键词： Coupled Coincidence Point α-ψ-Contractive Mapping Compatible mappings

Algorithm of Iterative Process for Some mappings and Iterative Solution of Some Diffusion Equation

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Open Journal of Applied Sciences 2012年第4期2卷 62-65页

作者： Wenjun Liu Jinghua Meng Department of Mathematics Jiujiang University Jiujiang China

In Hilbert spaces , through improving some corresponding conditions in some literature and extending some recent relevent results, a strong convergence theorem of some implicit iteration process for pesudocon-traction mappings and explicit iteration process for nonexpansive mappings were established. And by using the result, some iterative solution for some equation of response diffusion were obtained.

关键词： pesudocon-traction mappings nonexpansive mappings implit iteration process explicit iteration process diffusion equation

Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using R-Weakly Commuting mappings

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Applied Mathematics 2012年第3期3卷 225-230页

作者： Saurabh Manro Satwinder Singh Bhatia Sanjay Kumar Deenbandhu Chhotu Ram University of Science and Technology Murthal India School of Mathematics and Computer Applications Thapar University Patiala India

In this paper, we prove a common fixed point theorem in Intuitionistic fuzzy metric space by using pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions.

关键词： Intuitionistic Fuzzy Metric Space Reciprocal Continuity R-Weakly Commuting mappings Common Fixed Point Theorem

Common Fixed Point Theorems for Weakly Compatible mappings in Fuzzy Metric Spaces Using (JCLR) Property

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Applied Mathematics 2012年第9期3卷 976-982页

作者： Sunny Chauhan Wutiphol Sintunavarat Poom Kumam Department of Mathematics Faculty of Science King Mongkut’s University of Technology Thonburi (KMUTT) Bangkok Thailand R. H. Government Postgraduate College Kashipur India

In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space using the joint common limit in the range property of mappings called (JCLR) property. An example is also furnished which demonstrates the validity of main result. We also extend our main result to two finite families of self mappings. Our results improve and generalize results of Cho et al. [Y. J. Cho, S. Sedghi and N. Shobe, “Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces,” Chaos, Solitons & Fractals, Vol. 39, No. 5, 2009, pp. 2233-2244.] and several known results existing in the literature.

关键词： Fuzzy Metric Space Weakly Compatible mappings (E.A) Property (CLR) Property (JCLR) Property

STABILITY RESULTS FOR GENERALIZED CONTRACTIVE mappings

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Numerical Mathematics A Journal of Chinese Universities(English Series) 2000年第1期9卷 83-90页

作者：黄震宇 Department of Mathematics Nanjing University Nanjing 210093 PRC

Using a more general contractive definition, this paper continues the study on T stable Ishikawa iteration procedure and generalizes most of the results of Harder and Hicks [1] , Osilike [5] and Rhoades [6-8] . A note... 详细信息

关键词： Ishikawa fixed point iteration contractive mappings normed linear space T stable.