Fixed Point Theory
Fixed point theory on extension-type spaces and essential maps on topological spaces
... concerning fixed point theory in extension-type ...new fixed point theorems, one concerning approximate neighborhood extension spaces and another concerning inward-type maps in ...
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Metric fixed point theory: a brief retrospective
... fixed point theory as an independent discipline and expanded the scope of their conferences ...fixed point theory, in fact probably the very first such conference, was years ...‘Fixed ...
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A note on fixed point theory for cyclic φ-contractions
... In this paper, we consider, discuss, improve, and complement recent fixed points results for mappings satisfying cyclical contractive conditions established by Pacurar and Rus (Nonlinear Anal. 72:1181-1187, 2010) and ...
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On fixed point theory in partial metric spaces
... 37. Altun, I, Sola, F, Simsek, H: Generalized contractions on partial metric spaces. Topol. Appl. 157, 2778-2785 (2010) 38. Altun, I, Simsek, H: Some fixed points theorems on dualistic partial metric spaces. J. Adv. Math. ...
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Reich’s iterated function systems and well-posedness via fixed point theory
... Fixed point theory (see, for instance, [–]) plays an important role in iterated function systems as well as fractals (see [–]). As is well known, the simplest fractals are the self-similar ...
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SOLVABILITY TO COUPLED SYSTEMS OF FUNCTIONAL EQUATIONS VIA FIXED POINT THEORY
... metric fixed point theory regarded as starting with Banach contraction principle [2] in 1922 is a branch of mathematics, which is widely used not only in various mathematical theories, but also in ...
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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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Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces
... of fixed point theorems in partially ordered metric spaces is one of the most active research areas in fixed point ...new fixed point theorems for some contraction mappings in ...
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The modification of system of variational inequalities for fixed point theory in Banach spaces
... nonexpansive and strictly pseudo-contractive mappings and the set of solutions of modification of a system of variational inequalities problems in a uniformly convex and 2-uniformly smooth Banach space. Applying the main ...
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Recent results on the topological fixed point theory of multivalued mappings: a survey
... fixed point theory of multivalued mappings which were obtained by ourselves in the last five years (see Andres and Górniewicz in Fixed Point Theory 12(2):255-264, 2011; ...deterministic ...
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Fixed Point Theory for Admissible Type Maps with Applications
... new fixed point theorems for Urysohn type maps between Fr´echet ...Lefschetz fixed point theory for admissible type ...on fixed point theory in Banach spaces and ...
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Epsilon Nielsen fixed point theory
... The point of view of numerical analysis concerning accuracy is described by Hilde- brand in his classic text [5] in the following ...Nielsen fixed point theory that does assume that a ...
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A comparison of various noncommuting conditions in metric fixed point theory and their applications
... Remark . If there are just two mappings involved, and they only have one coinci- dence point (which turns out to be the unique fixed point), then, of course, most of the gen- eralizations of ...
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Fixed point theory for cyclic generalized contractions in partial metric spaces
... In 1994, Matthews [4] introduced the notion of a partial metric space and obtained a generalization of Banach’s fixed point theorem for partial metric spaces. Recently, Altun et al. [5] (see also Altun and ...
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Fixed Point Theory for Contractive Mappings Satisfying -Maps in -Metric Spaces
... The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and ...many fixed point results for a ...
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Metric fixed point theory for nonexpansive mappings defined on unbounded sets
... fixed point property for all nonexpansive self-mappings, then is it necessarily bounded? This has long been an open question in metric fixed point ...fixed point property for every unbounded convex ...
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About periodicity of impulsive evolution equations through fixed point theory
... Although there have been many papers on periodic solutions of periodic system in finite or infinite dimensional spaces, to our knowledge,impulsive periodic systems in infinite dimensional spaces (with unbounded operators) ...
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Fixed point theory for cyclic generalized contractions in partial metric spaces
... In 1994, Matthews [4] introduced the notion of a partial metric space and obtained a generalization of Banach's fixed point theorem for partial metric spaces. Recently, Altun et al. [5] (see also Altun and ...
7
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) = ...fixed point theorems in the case where X is endowed with a partial metric ...
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Fixed point theory of cyclical generalized contractive conditions in partial metric spaces
... The well-known Banach fixed point theorem asserts that if D = X, f is contractive and (X, d) is complete, then f has a unique fixed point in X. It is well known that the Banach contraction principle [] is a ...
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