[PDF] Top 20 Common fixed point and solution of nonlinear functional equations
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Common fixed point and solution of nonlinear functional equations
... An extension of a linear version (usually in Banach spaces) of a known result to metric fixed point theory has its own importance. As Mann and Ishikawa iterative schemes in- volve general convex combinations, we ... See full document
11
On iterative solution of nonlinear functional equations in a metric space
... In this paper we are using Kannan’s [i] criterion for the existence of the unique fixed point of an operator to build up a sequence of sufficient conditions which will guarantee the conv[r] ... See full document
10
Complementarity problems via common fixed points in vector lattices
... of fixed point problems in ordered metric spaces has been investigated by Ran and Reurings [9] and Nieto and Lopez ...considered fixed point, common fixed point, and ... See full document
13
Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations
... the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are ...of common ... See full document
15
Solving a class of functional equations using fixed point theorems
... It is clear that the conditions of Theorem . are fulfilled. Thus Theorem . guarantees that functional equation (.) possesses a unique solution w ∈ B(S), which satisfies (C). Next we prove the ... See full document
19
On the Stability of Quartic Functional Equations via Fixed Point and Direct Method
... for all x, yX, is called the Quartic functional equation, since ax 4 is a solution of the Quartic functional equation (1.1). The Hyers-Ulam-Rassias stability of this equation was introduced by M. ... See full document
6
A fast multilevel algorithm for the solution of nonlinear systems of conducive radiative heat transfer equations
... the solution of a system of nonlinear integro-differential equations that model steady-state combined conductive-radiative heat ...of equations for radiative intensity and temperature can be ... See full document
12
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 ... See full document
16
Common coupled fixed point results for operators without mixed monotone type properties and application to nonlinear integral equations
... fixed point theorem for monotone operators and coupled fixed point theorem for mixed monotone operators; see [], Theorem ...nonnegative solution for a two-dimensional nonlinear integral ... See full document
20
On the stability of set-valued functional equations with the fixed point alternative
... quadratic functional equation. In particular, every solution of the quadra- tic functional equation is said to be a quadratic ...quadratic functional equation was proved by Skof [24] for ... See full document
17
Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
... of functional equa- tions to prove fixed point theorems and study some new applications in nonlinear ...the fixed point theorem of alternative to the investigation of Cauchy and ... See full document
15
New Modification of Fixed Point Iterative Method for Solving Nonlinear Equations
... the fixed point method using taylor series on the functional equation x = g x ( ) of nonlinear equation f x ( ) = 0 ...In fixed point method, we rewrite f x ( ) = 0 as x = g x ( ... See full document
7
SOLVABILITY TO COUPLED SYSTEMS OF FUNCTIONAL EQUATIONS VIA FIXED POINT THEORY
... coupled common fixed points for a pair of mappings satisfying ...unique common solution of coupled systems of functional equations arising in dynamic ... See full document
8
Orthogonal stability of functional equations with the fixed point alternative
... in which ⊥ is an abstract orthogonality relation, was first investigated by Gudder and Strawther []. They defined ⊥ by a system consisting of five axioms and described the gen- eral semi-continuous real-valued ... See full document
17
Common random fixed point results with application to a system of nonlinear integral equations
... a common random fixed point theorem for two pair of weakly compatible mappings in separable Banach ...unique solution of system of random nonlinear integral ... See full document
8
Fixed Points and Stability in Nonlinear Equations with Variable Delays
... Many authors have investigated the special cases of 1.1 and 1.2. Since Burton 1 used fixed point theory to investigate the stability of the zero solution of the equation x t −atxt − r , many scholars ... See full document
14
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... The “unknowns” are functions f : G → Y between two vector spaces while p, h are given functions, p −1 is the inverse of p, and k / 0 is a fixed constant. The solution of 3.1 and a generalized stability ... See full document
15
Nielsen number and differential equations
... 2.3. ad (c). For single-valued continuous self-maps in metric (e.g., Fr´echet) spaces, in- cluding condensing maps, the Nielsen theory was developed in [55], provided only that (i) the set of fixed points is ... See full document
31
Common Fixed Points, Invariant Approximation and Generalized Weak Contractions
... a common fixed point of T and ...about common fixed points of maps T , I such that T is I-nonexpansive under the conditions of commuting, weakly commuting, R-subweakly commuting, or ... See full document
12
Fixed Points and Stability of the Cauchy Functional Equation in -Algebras
... of functional equations originated from a question of Ulam 1 concerning the stability of group ...several functional equations have been extensively investigated by a number of authors, and ... See full document
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