[PDF] Top 20 Solving a class of functional equations using fixed point theorems
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Solving a class of functional equations using fixed point theorems
... various functional equations arising in dynamic programming are both of theoretical and of practical interest; for ex- ample, see [–] and the references cited ...following functional ... See full document
19
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 the use of ... See full document
16
Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
... stability theorems of functional equations which generalize the Hyers’ result. In 1978, Rassias 6 attempted to weaken the condition for the bound of Cauchy difference controlled by a sum of unbounded ... See full document
15
Fixed point theorems for a class of mixed monotone operators with convexity
... It is well known that mixed monotone operators were introduced by Guo and Laksh- mikantham [] in . Thereafter many authors have investigated these kinds of oper- ators in Banach spaces and obtained a lot of ... See full document
7
Coupled fixed point theorems with applications to fractional evolution equations
... fixed point theorems in partially ordered -orbitally complete normed linear ...fixed point theorems to a class of semilinear evolution systems of fractional order for proving the ... See full document
16
Existence of solutions of integral equations via fixed point theorems
... Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to ... See full document
15
Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations
... of functional equations arising in dynamic programming with the help of common fixed point results satisfying the contractive conditions of integral type in metric ... See full document
15
Orthogonal stability of functional equations with the fixed point alternative
... for all x ∈ X. It follows from (.) that d(f , Jf ) ≤ . So, we obtain inequality (.). The rest of the proof is similar to the proofs of Theorems . and .. Corollary . Let θ be a positive real number and p ... See full document
17
New Modification of Fixed Point Iterative Method for Solving Nonlinear Equations
... for solving nonlinear ...by using Taylor series, Adomain decomposition, Ho- motopy pertrubation technique and other decomposition techniques ...the fixed point method using taylor ... See full document
7
Common fixed point and solution of nonlinear functional equations
... (the class of nonlinear mappings containing contractions as a subclass) remain a popular area of research in various ...fixed point problem for some nonlinear mappings has been studied on linear as well as ... See full document
11
Fixed point and best proximity point theorems for contractions in new class of probabilistic metric spaces
... as equations of the form Tx = x, where T is a given self-mapping defined on a subset of a metric space, a normed linear space, a topological vector space or some suitable ...proximity point theorem ... See full document
15
Fixed point theorems for compatible mappings with applications to the solutions of functional equations arising in dynamic programmings
... The purpose of this paper is to prove some common fixed point theorems for compatible mappings, which generalized some recent results of [4, 10-13] As an application, we use the results [r] ... See full document
8
Some Results on Fixed Point Theorems in Banach Algebras
... of fixed point theorems in Banach ...integral equations via fixed point theorems in Banach ...a class of Banach algebras satisfying certain sequential conditions ... See full document
9
Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT spaces
... In this paper, our aim is to address the existence and uniqueness of solutions for a class of integral equations in IFMT-space. Therefore, we introduce the concept of IFMT-spaces and prove a common fixed ... See full document
8
Applying new fixed point theorems on fractional and ordinary differential equations
... fixed point theorem that extends and unifies several existing results in the ...fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value problems with ... See full document
25
8. Computational coupled fixed points for $\huge \Theta -$ contractive mappings in metric spaces endowed with a graph
... existence theorems for coupled fixed points of Θ-type contractive operator in metric spaces endowed with a directed ...system equations to support the ... See full document
11
3. Common Fixed Point Theorems for Multivalued Mappings on Metric Spaces with a Directed Graph
... To extend this concept, Jachymski [20] introduced a new approach in metric fixed point theory by replacing order structure with a graph structure on a metric space. In this way, the results obtained in ... See full document
12
Fixed point theorems for a class of generalized weak cyclic compatible contractions
... fixed point theorems for those contractions (Theorems ...fixed point theorems (Theorems ...fixed point properties of semigroups of non- expansive mappings, nonlinear mappings ... See full document
15
Fixed point theorems for a class of maps in normed Boolean vector spaces
... the class of all subsets of A. Then the class B with three set operation +, • , ‘ (union, intersection, and complement) defines a Boolean ...this class B with the set operation “ exclusive-or ... See full document
6
Several New Types of Fixed Point Theorems and Their Applications to Two Point Ordinary Differential Equations
... the fixed point has important applications in fields such as differential equations, equilibrium pro- blems, variational inequality, optimization problems, maxmin problems ...of fixed ... See full document
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