Titlebook: Essays in Mathematics and its Applications; In Honor of Vladimir Themistocles M. Rassias,Panos M. Pardalos Book 2016 Springer International

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Transversality Theory with Applications to Differential Equations,The generic existence of Morse functions in a prescribed family of smooth functionals is investigated. The approach is based on arguments involving the transversality theory. The abstract result is applied to semilinear elliptic boundary value problems. One obtains qualitative information concerning the set of solutions.

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Some Generalizations of Fixed-Point Theorems on ,-MetricSpaces,In this paper we prove new fixed-point theorems on complete .-metric spaces. Our results generalize and extend some fixed-point theorems in the literature. We give some examples to show the validity of our fixed-point results.

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On the Infimum of Certain Functionals,Here is a particular case of our main result: Let . be a real Banach space, . a nonzero continuous linear functional and .: . → . a nonconstant Lipschitzian functional with Lipschitz constant equal to .. Then, we have

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Themistocles M. Rassias,Panos M. PardalosContains contributions from leading experts in nonlinear mathematics.Features a wide variety of topics that will attract a diverse readership.Unifies several theories and methods.Includes supplementar

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https://doi.org/10.1007/978-3-319-31338-2algebraic and differential topology; classical mechanics; nonlinear mathematics; singularity theory; sta

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