[PDF] Top 20 On Fixed Point Theorems and Their Applications (
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On Fixed Point Theorems and Their Applications (
... ( ' ) k ∈ L 1 (α, β)). Then there exists a unique solution x ∈ C 1 (I,X) to the Cauchy problem 3.2, for every I ⊂ (α, β). proof :Proceed like in the proof of Theorem 3.3, taking now Z = C(I,X).When f is merely continuous ... See full document
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On Fixed Point Theorems and their Applications (
... he fixed point theorems concern maps f of a set X into itself that, under certain conditions, admit a fixed point, that is, a point x ∈ X such that f(x) = ...of fixed ... See full document
7
Common fixed point theorems for generalized contractive mappings with applications
... Fixed point theorems for operators in ordered Banach spaces are widely investigated and have found various applications in differential and integral equations (see [, ] and refer- ences ... See full document
17
Fixed point theorems in CAT(0) spaces with applications
... Fixed point theorems for set-valued mappings play a vital role in various fields of pure and applied ...fixed point theorem, Browder [] obtained the famous Browder fixed point theorem ... See full document
26
New fixed point theorems on order intervals and their applications
... In this paper, we prove the existence of fixed points for nonlinear and semilinear operators on order intervals. The abstract results unified some methods in studying the existence of positive solutions for boundary and ... See full document
10
Applications of Fixed Point Theorems in the Theory of Generalized IFS
... For applications of IFSs in image processing theory, in the theory of stochastic growth models, and in the theory of random dynamical systems, one can consult ... See full document
11
Applications of fixed point theorems in the theory of invariant subspaces
... Lomonosov [] proved in that any nonscalar operator on a Banach space that com- mutes with a nonzero compact operator has a nontrivial hyperinvariant subspace. The re- sult of Lomonosov came into the scene like a ... See full document
11
Coupled fixed point theorems with applications to fractional evolution equations
... fixed point theorems, see [, , –], are all for the monotone ...fixed point theorems ob- tained in [, , –] to the mixed monotone mapping in partially ordered metric ... See full document
16
Fixed point theorems for nonlinear operators with singular perturbations and applications
... In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application we ... See full document
13
Common fixed point theorems and applications
... By setting px, y px in Theorem 3.5, we have the following: COROLLARY :}.6 Let X,.T’ be a probabilistic quasi-metric space and let S and T be two commuting self-mappings of X.. If these c[r] ... See full document
6
Some applications of fixed point theorems
... the fixed point theory yields result of best approximation and best approxi- mation yields the variational inequality ...yields fixed point theory. It is also shown that the fixed ... See full document
8
Common fixed point theorems for (ψ, φ)-weak nonlinear contraction in partially ordered sets
... corresponding fixed point ...various fixed point and common fixed point ...some applications were obtained, in particular when dealing with differential and matrix ... See full document
12
Contractive mappings on a premetric space
... Fixed point theorems of sequential mapping with geometric mean contraction and its applications, Preprint..[r] ... See full document
7
Modular Cone Metric Spaces
... Kumam, Fixed point theorems for contraction mapping in modular metric spaces, Fixed Point Theory and Applications, (2011)", the authors have studied and introduced some ... See full document
6
Common Fixed Point Theorems for a Finite Family of Discontinuous and Noncommutative Maps
... common fixed point theorems for a finite family of discontinuous and noncommutative single-valued functions defined in complete metric ...common fixed point theorem for two multivalued ... See full document
19
Fixed Point Theorems in Complete G - Metric Spaces
... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ... See full document
5
Impact of Common Property (E.A.) on Fixed Point Theorems in Fuzzy Metric Spaces
... Corollary 2.4. Let A, S be a pair of self mappings of a fuzzy metric space X, M, ∗ such that A, S satisfies the property (E.A.), A is a fuzzy contraction with respect to S and SX is a closed subset of X. Then, the pair ... See full document
14
Some Coupled Fixed Point Theorems in Cone Metric Spaces
... the fixed point for a selfmap T on a cone metric space X, ...and fixed point theorems for different types of mappings on these ... See full document
8
Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps
... Veeramani, “On existence of equilibrium pair for constrained generalized games,” Fixed Point Theory and Applications , vol.. Veeramani, “On best proximity pair theorems and fixed-point t[r] ... See full document
10
Fixed Point Theory for Contractive Mappings Satisfying -Maps in -Metric Spaces
... The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and ...many fixed point results for a ... See full document
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