The case φ < 1: deriving fixed-point equations
Fixed point theorems for φ contractions
... integral equations and nonlinear integro-differential equa- tions and to prove the convergence of algorithms in computational ...fixed point theory by finding the fixed point(s) of self-mappings or ...
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Fixed point theory for multivalued φ-contractions
... concepts: fixed points, strict fixed points, periodic points, strict periodic points, multivalued Picard and weakly Picard operators; data dependence of the fixed point set, sequence of ...
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A note on fixed point theory for cyclic φ-contractions
... point of f . Uniqueness follows easily from (.). Theorem . is proved. Remark . It is clear that Theorem . holds if ϕ is also (c)-comparison function. It this case, it follows that the main result ...
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Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations
... called φ − (γ, η, n, m)-contraction pairs, and obtain common fixed point theorems for a pair of mappings in this class, satisfying a weakly compatible ...integral equations on the space of ...
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Fixed point theory in partial metric spaces via φ fixed point’s concept in metric spaces
... -fixed point of T, where ϕ : X → [0, ∞ ) and T : X → X, if x is a fixed point of T and ϕ (x) = ...the case, where X is endowed with a metric ...fixed point theorems in the case where X is ...
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Fixed Point for t−φ(t,u,v) Mixed Monotone Model Operator
... of fixed point of t−φ(t,u,v) mixed monotone model operator in the partial order Banach ...integral equations which can not be solved by using previously available ...
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Orthogonal stability of functional equations with the fixed point alternative
... 1 Introduction and preliminaries Assume that X is a real inner product space and f : X → R is a solution of the orthogonal Cauchy functional equation f (x + y) = f (x) + f (y), where x, y = . By the Pythagorean ...
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On random fixed point theorems with applications to integral equations
... equation. Fixed point theorems for stochastic functions was pioneered by Prague School of ...integral equations with respect to random kernel. Stochastic fixed point theorem for contractive ...
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Coupled fixed point results for nonlinear integral equations
... Integral equations; Abstract In this paper, we prove some coupled coincidence point theorems for such nonlinear contraction mappings having a mixed monotone property in partially ordered metric spaces by ...
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Common fixed point and solution of nonlinear functional equations
... The Banach contraction principle asserts that a contraction on a complete metric space has a unique fixed point and its proof hinges on ‘Picard iterations’. This principle is appli- cable to a variety of subjects ...
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Deriving the Fresnel Equations in the framework of Maxwell equations
... The boundary condition for the electric field then becomes $ " /0(# " + $ , /0(# , = $ % /0(# % (1) For the magnetic field, which is collinear in all three waves, this condition takes the form Figure 2: ...
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Fixed Point Theorems for Generalized Ψ φ Khan contractions in b rectangular Metric Spaces
... Case 2. Assume that there exists m∈N such that . By condition (2.1), it follows that and hence . This completes the existence of a fixed point of T. The uniqueness follows as in Case 1. ...
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Common fixed point theorems for (ψ, φ)-weak nonlinear contraction in partially ordered sets
... It is well known that the Banach Contraction Principle has been generalized in various directions. Alber and Guerre-Delabrere [1] introduced the concept of weak contrac- tions in Hilbert spaces and proved the ...
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Solving a class of functional equations using fixed point theorems
... functional equations arising in dynamic programming of multistage decision ...fixed point theorems due to Banach and Liu-Ume-Kang and iterative algorithms, some sufficient conditions which ensure the ...
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Existence of a solution of integral equations via fixed point theorem
... fixed point 1 Introduction and preliminaries Fixed point theory is one of the most efficient tools in nonlinear functional analysis to solve the nonlinear differential and integral ...
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Existence of solutions of integral equations via fixed point theorems
... Full list of author information is available at the end of the article Abstract Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies ...
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Coupled fixed point theorems with applications to fractional evolution equations
... fixed point theorems were proved in partially ordered metric ...fixed point theorems were refined and improved by Lakshmikantham and Ćirić [], Luong and Thuan [] and Samet ...fixed point theorems in a ...
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On a fixed point theorem of Krasnosel'skii type and application to integral equations
... Copyright © 2006 L. T. P. Ngoc and N. T. Long. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, dis- tribution, and reproduction in any medium, ...
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On the stability of set-valued functional equations with the fixed point alternative
... Set-valued functions in Banach spaces have been developed in the last decades. The pioneering article by Aumann [1] and Debreu [2] were inspired by problems arising in control theory and mathematical economics. We ...
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RANDOM EQUATIONS AND APPLICATIONS TO GENERAL RANDOM FIXED POINT THEOREMS
... Random fixed point theory is a stochastic generalization of classical fixed point theory for deterministic mappings and has received much attention in recent years (see, ...deterministic ...
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