Fixed point alternative
Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach
... RESEARCH Open Access Stability of a generalized quadratic functional equation in various spaces a fixed point alternative approach Hassan Azadi Kenary1, Choonkil Park2*, Hamid Rezaei1 and Sun Young Ja[.] ...
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On the stability of set-valued functional equations with the fixed point alternative
... the fixed point method, we define a generalized quadratic set-valued functional equation and prove the Hyers-Ulam stability of the generalized quadratic set-valued functional ...
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Stability of functional equation obtained through a fixed point alternative in intuitionistic fuzzy normed spaces
... fixed-point alternative method is very useful for obtaining the solution of the Ulam problem and obtained the stability of the Cauchy func- tional equation in Banach spaces through the fixed-point ...
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The fixed point alternative and Hyers Ulam stability of generalized additive set valued functional equations
... Let (X, D) be a generalized metric space. An operator T : X → X satisfies a Lipschitz condition with Lipschitz constant L if there exists a constant L ≥ such that d(Tx, Ty) ≤ Ld(x, y) for all x, y ∈ X. If the Lipschitz ...
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Orthogonal stability of an additive quartic functional equation with the fixed point alternative
... new fixed point theorems with applications. By using fixed point methods, the stability problems of several functional equations have been extensively investigated by a number of authors (see ...
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Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative
... new fixed point theorems with applications. By using fixed point methods, the stability problems of several functional equations have been extensively investigated by a number of authors see ...
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Orthogonal stability of functional equations with the fixed point alternative
... fixed point method, we have proved the Hyers-Ulam stability of the orthogonally Jensen additive functional equation, of the orthogonally Jensen quadratic functional equa- tion, of the orthogonally cubic functional ...
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Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach
... The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy ...some fixed point ...
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Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
... In this paper, we will adopt the fixed point alternative of Cˇ a dariu and Radu to show the exis- tence of an exact higher ternary derivation near to an approximately higher ternary deri[r] ...
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Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach
... the fixed point alternative of Cˇ adariu and Radu to show the existence of an exact higher Jordan ternary derivation near to an approx- imately higher Jordan ternary derivation by investigating the ...
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Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... a fixed point method was proposed, by showing that many theorems concerning the stability of Cauchy, Jensen, quadratic, cubic, quartic, and monomial functional equations are consequences of the fixed ...
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arxiv: v1 [gr-qc] 27 Feb 2014
... corresponds to an exponential potential and other values of Γ correspond to power law type potentials. The present value of λ has been chosen to fit the observational results. In this work we have checked for numerical ...
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On common fixed point of a function and its derivative
... In next the result the above we would present the other result in below. For these needed the notion the iteration as the following. Suppose that f : R −→ R is differentiable. For a point x 0 ∈ R that be given, we ...
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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] ...
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Property in -Metric Spaces
... point theorems in such spaces trivial. Unfortunately, it was shown that certain theorems involving Dhage’s D-metric spaces are flawed, and most of the results claimed by Dhage and others are invalid. These errors ...
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Krasnosel'skii-Type Fixed-Set Results
... a fixed point of T if x Tx, and the set of fixed points of T will be denoted by FT ; b T is nonexpansive if dTx, Ty ≤ dx, y for all x, y ∈ M; c T is k-contraction if dTx, Ty ≤ kdx, y for all x, y ∈ M ...
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Fixed Point Theorems for Middle Point Linear Operators in
... a fixed point result for uniform limits of middle point linear operators see Proposition ...middle point linear operators has a common fixed point on K, whenever T : K, ρ → K, ρ ...
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Fixed point and common fixed point results in cone metric space and application to invariant approximation
... out results on multi-valued mappings defined on a cone metric space when the underly- ing cone is normal or regular (see [–]). In , Janković et al. [] showed that most of the fixed point results in the ...
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Coupled Fixed Point Theorems on Bipolar Metric Spaces
... coupled fixed point theorems, which can be considered as gener- alizations of Banach fixed point theorem, are extended to bipolar metric ...
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Vol 3, No 10 (2012)
... studied fixed point theorems for mappings satisfying different contractive conditions (see [7- ...coincidence point of a mapping F from X × X into X and a mapping g from X into X, and studied ...
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