[PDF] Top 20 Remarks on Extensions of the Himmelberg Fixed Point Theorem
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Remarks on Extensions of the Himmelberg Fixed Point Theorem
... that Theorem 1.1 is usually called the Himmelberg fixed point theorem and is a common generalization of historically well-known fixed point theorems due to Brouwer, ... See full document
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Remarks on Caristi’s fixed point theorem in metric spaces with a graph
... fixed point theorem may be one of the most beautiful extensions of the Banach contraction principle [, ...this theorem states that any map T : M → M has a fixed point provided that M is ... See full document
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Remarks on Recent Fixed Point Theorems
... This inequality implies that dSx, Sy < dTx, Ty. So dFa, Fb < da, b. Therefore, by Theorem 2.1, F has a unique fixed point w. Then for any z ∈ T −1 w, Sz Fw w Tz. So, z is a coincidence ... See full document
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Remarks on metric transforms and fixed-point theorems
... Theorem . entails showing that the metric space (X, ) is complete, where is the path metric on X induced by d, and then observing that g is actually a global contraction on (X, ). (An assertion in the proof of ... See full document
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Remarks on some recent fixed point theorems
... Proof. Taking a = ψ in Theorem 10, we obtain immediately Theorem 4. Now, we shall prove that Theorem 10 can be deduced from Theorem 4. Indeed, let f: X ® X be a mapping satisfying (5) with ψ , ... See full document
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SOME EXTENSIONS OF RHOADES FIXED POINT THEOREMS
... We observe that condition (1) ' , (4) ' are stronger than (3) ' and condition (4) ' is stronger than conditions (6) ' and (8) ' therefore the Theorem 2.1 has two corollaries corresponding to each of these two ... See full document
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Remarks on G-metric spaces and fixed point theorems
... In some cases, when the contractive condition is of nonlinear type, the above strategy cannot be used. However, we will show that we can deduce fixed point results on G-metric spaces from fixed point results ... See full document
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A note on Krasnosel’skii fixed point theorem
... additional remarks are ...fixed point theorems in strong topology setup are ...fixed point theorems are obtained, which expand and complement some known related results by Agarwal, O’Regan and Taoudi ... See full document
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Remarks on the fixed point problem of 2-metric spaces
... In [], Lahiri, Das and Dey established Cantor’s intersection theorem and Baire cate- gory theorem in -metric spaces, and some fixed point theorems in -metric spaces have been proved ... See full document
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A Generalization of Kannan's Fixed Point Theorem
... “Some remarks on a recent generalization of the Banach contraction principle,” in Proceedings of the 8th International Conference on Fixed Point Theory and Its Applications (ICFPTA ’08), ... See full document
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Maximal and minimal point theorems and Caristi's fixed point theorem
... [14, Remarks 1 and 2] we find that [14, Theorem 1] includes the results appearing in ...[14, Theorem 1] is proved by Caristi ’ s fixed point theorem, then the results of ... See full document
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Systems of Generalized Quasivariational Inclusion Problems with Applications in -Spaces
... introduced the concept of abstract convex spaces which include H-spaces and G-convex spaces as special cases. With this new concept, he can study the KKM theory and its applications in abstract convex spaces. More ... See full document
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Equivalent Extensions to Caristi-Kirk's Fixed Point Theorem, Ekeland's Variational Principle, and Takahashi's Minimization Theorem
... is a w-distance. Applying Theorem 4.1 to the w-distance, the desired conclusion follows. Remark 4.6. We have obtained Theorem 4.5 from Theorem 4.1. Conversely, when p is a w- distance, Theorem ... See full document
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Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators
... existence theorem and fixed-point theorem for general mappings are ...certain remarks on the problem of existence of invariant subspaces of a linear continuous operator are ... See full document
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An Extension of Gregus Fixed Point Theorem
... As observed by Chidume [5, page 119], since the four points { x, y,Tx,T y } of (1.2) determine six distances in X, the inequality amounts to say that the image distance d(Tx, T y) never exceeds a fixed convex ... See full document
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Application of Fixed Point Theorem and Error Bounds
... mean-value theorem and the given condi- tion , g x ( ) is a contraction mapping of the complete metric space k into itself ...unique fixed point u of g in k , ... See full document
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A selection and a fixed point theorem and an equilibrium point of an abstract economy
... TARAFDAR, E., A fixed point theorem and equilibrium point of an abstract economy; Journal of Mathematical Economics 20 1991 211-218 On the existence of equilibria in economics with infin[r] ... See full document
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A Full Characterization on Fixed Point Theorem, Minimax Inequality, Saddle Point, and KKM Theorem
... FKK theorem, fixed point theorem, saddle point theorem, variational inequalities, and coincidence theorem, ...characterize fixed point theorem, saddle ... See full document
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Some Generalizations of Jungck's Fixed Point Theorem
... Jungck’s fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral ... See full document
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On Krasnoselskii's Cone Fixed Point Theorem
... cone fixed point theorem to obtain existence results for a boundary value problem is to rewrite the problem as an integral equation, usually via the use of Green’s ...cone theorem are ... See full document
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