[PDF] Top 20 On a fixed point theorem of Krasnosel'skii type and application to integral equations
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On a fixed point theorem of Krasnosel'skii type and application to integral equations
... Furthermore, applications to integral equations in a Banach space were presented. On the basis of the ideas and techniques in [2, 6], we consider (1.2). The paper consists of five sections. In Section 2, we ... See full document
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Suzuki-type fixed point theorem in b-metric-like spaces and its application to integral equations
... fixed point results in the set of metric-like ...Suzuki-type fixed point theorem in the set of b-metric-like space and establish certain results as ...an application to ... See full document
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A generalization of Diaz Margolis’s fixed point theorem and its application to the stability of generalized Volterra integral equations
... 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Aoki, T: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Jpn. 2, 64-66 ... See full document
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Krasnosel’skii-type fixed point theorems with applications to Volterra integral equations
... fixed point theorem for se- quentially weakly continuous mappings has been proved in ...fixed point theorem allowed, in many applications, to avoid some contractiveness conditions generated by ... See full document
16
A positive fixed point theorem with applications to systems of Hammerstein integral equations
... fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions for systems of nonlinear Hammerstein integral ... See full document
10
Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
... existence theorem for equations involving condensing operators using the Petryshyn’s fixed point ...the application of this kind of non- linear functional-integral ... See full document
12
A new common coupled fixed point theorem in generalized metric space and applications to integral equations
... In the present paper, we prove a common coupled fixed point theorem in the setting of a generalized metric space in the sense of Mustafa and Sims. Our results improve and extend the corresponding results of ... See full document
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4. Applications of non-unique fixed point theorem of Ciric to nonlinear integral equations
... the application of the non-unique fixed point theorem of ´ Ciri´ c to nonlinear Fredholm integral ...existence theorem for the solutions of such integral equations ... See full document
8
A Pata-type fixed point theorem in modular spaces with application
... fixed point theorem in modular ...an application of our main results to the existence of solutions of integral equations in Musielak-Orlicz ... See full document
10
Leray-Schauder-type fixed point theorems in Banach algebras and application to quadratic integral equations
... This paper is arranged as follows. In Section , we fix the notation and present some key tools that will be used to prove our main results. In Section , we prove some fixed point results in Banach algebras under ... See full document
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Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type
... Dynamic equations, Electromagnetism, Signal analysis, Quantum mechanics, Relativity, Geometry, Fractals, Analytic number theory, Algebraic number theory ...common fixed point theorem for ... See full document
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Vol 8, No 4 (2017)
... Fixed point theory became one of the most interesting area of research in the last forty years for instance research about control theory, differential equations, integral equations, ... See full document
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3. Common Fixed Point Theorems for Multivalued Mappings on Metric Spaces with a Directed Graph
... Latif and Beg [25] introduced a notion of K− multivalued mapping as an ex- tension of Kannan mapping to multivalued mappings. Rus [32] coined the term R− multivalued mapping which is a generalization of a K− multivalued ... See full document
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8. Computational coupled fixed points for $\huge \Theta -$ contractive mappings in metric spaces endowed with a graph
... coupled fixed point for mixed monotone operators and used it to solve vari- ous existence problems including periodic boundary value problem In ...coupled fixed point ... See full document
11
Existence of a solution of integral equations via fixed point theorem
... Fixed point theory is one of the most efficient tools in nonlinear functional analysis to solve the nonlinear differential and integral ...differential/integral equations turns into the ... See full document
16
A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type
... Therefore, for all x ∈ X, M(x,Sx) = d(x,Sx), and (2) is satisfied. If condition (a) of Lemma 1 is true, then S or T has a fixed point. But it has already been shown that any fixed point of S ... See full document
6
Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Metric Spaces
... result in this direction was given by Ran and Reurings 22, Theorem 2.1 who presented its applications to matrix equation. Subsequently, Nieto and Rod´riguez-L ´opez 18 extended the result of Ran and Reurings 22 ... See full document
20
Vol 7, No 10 (2016)
... differential equations describes processes which experience a sudden change of their state at certain ...differential equations, see Lakshmikantham et ...therein. Integral boundary conditions have ... See full document
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COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTION
... 2 [d(gx, T y)+d(gy, T x)] . Assume that g(E) is a closed subset of X. Then T and g have a unique common fixed point, that is, there exists x ∈ X such that T x = gx = x. Proof. Let T = S and f = g and apply ... See full document
12
Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations
... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear Analysis: Theory, Methods & Applications, ...“Fixed point theorems for weakly contractive ... See full document
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