Hausdorff Metric
On Multi-Valued Weakly Picard Operators in Hausdorff Metric-Like Spaces
... The theory of MWP operators is studied by several authors (see for instance [1, 2]). In 2008 Suzuki [3] generalizes the Banach contraction principle by introducing a new type of mapping. Very recently, Jleli et al. [4] ...
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On multivalued weakly Picard operators in partial Hausdorff metric spaces
... In view of the above considerations and following the ideas in [], the aim of this paper is to discuss multivalued weakly Picard operators on partial Hausdorff metric spaces, see also [] for other interesting ...
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Fixed point of Suzuki-Zamfirescu hybrid contractions in partial metric spaces via partial Hausdorff metric
... The aim of this paper is to obtain some coincidence point theorems for a hybrid pair of single-valued and multi-valued mappings on an arbitrary non-empty set with values in a partial metric space. Our results ...
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Menger-Hausdorff metric and common fixed point theorems in Menger probabilistic G-metric spaces
... In this paper, we introduce the concepts of generalized probabilistically bounded set ∗ and Menger-Hausdorff metric G ∗ in Menger probabilistic G-metric spaces, and prove that ( ∗ , G ∗ , ) is also a Menger ...
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Some new fixed point theorems for the Meir Keeler contractions on partial Hausdorff metric spaces
... The purpose of this paper is to study fixed point theorems for a multi-valued mapping concerning three classes of Meir-Keeler contractions with respect to the partial Hausdorff metric H in complete partial ...
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A new type of multivalued contraction in partial Hausdorff metric spaces endowed with a graph
... in metric fixed point theory is based on two things: the first is to modify con- traction condition and the second is to modify the structure of a metric ...partial metric space and extended Banach ...
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Fixed point results for the α Meir Keeler contraction on partial Hausdorff metric spaces
... The purpose of this paper is to study fixed point theorems for a multi-valued mapping satisfying the α -Meir-Keeler contraction with respect to the partial Hausdorff metric H in complete partial metric ...
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Results in PM space with Menger-Hausdorff metric
... Rhoades, Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings satisfying generalized contractive condition of integral type, Fixed Point Theory Appl.,[r] ...
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Fuzzy Valued Measure Based on Integral, Decomposition and Representation under Closed Intervals
... Keywords: Fuzzy measure, representation, decomposition, hausdorff metric, closed fuzzy measures, fuzzy-valued measurable functions, fuzzy-valued integrals.. Introduction.[r] ...
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MORPHOLOGICAL SAMPLING OF CLOSED SETS
... of Hausdorff or morphological sampling and to characterize it, but only to give a bound on the Hausdorff distance between a compact and its sampling, and so to derive the convergence of the sampling to the ...
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5. Fixed points of multivalued mappings in dualistic partial metric spaces
... In the last thirty years, the theory of multivalued functions has advanced in a variety of ways. In 1969, the systematic study of Banach-type fixed theorems of multivalued mappings started with the work of Nadler [24]. ...
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Fixed point theorems of multi-valued and single-valued mappings in partial metric spaces
... partial metric and extended the Banach contraction principle in the context of partial metric ...partial metric spaces and introducing the concept of partial Hausdorff ...partial metric ...
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On the continuity of the vector valued and set valued conditional expectations
... sub-a-fields, Hausdorff metric, Kuratowski-Mosco convergence, integrable selectors, ldstrom embedding theorem.. CLASSIFICATION CODE: 60Bll.[r] ...
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A Strong Law of Large Numbers for Set Valued Random Variables in Gα Space
... Abstract In this paper, we shall represent a strong law of large numbers SLLN for weighted sums of setvalued random variables in the sense of the Hausdorff metric dH, based on the result[r] ...
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Unique common fixed points for pairs of multi-valued mappings in partial metric spaces
... the Hausdorff metric for multi- valued ...partial Hausdorff metric and used it to prove Nadler’s theorem on partial metric ...partial Hausdorff space into the family of closed ...
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Characterization, Stability and Convergence of Hierarchical Clustering Methods
... of metric spaces by their finite ...a metric space, the Gromov-Hausdorff metric provides a very natural notion of distance on the output, in which the right kind of stability results are ...
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On Hausdorff and Compact U-Spaces
... In this paper we have introduced and studied U- spaces and their properties. These spaces have been called supratopological spaces by some authors ([1, 2,8,12]). However the U- spaces we have considered here are more ...
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On the Computation of the Hausdorff Dimension of the Walrasian Economy: Addendum
... From (7), it can be observed that the log-log plot of the number of copies and r gives a straight line with a slope equal to d. In addition, if we now trace the semi-log plot of copies C and the value of r, we have a ...
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A note on three problems in metric Diophantine approximation
... of Hausdorff measures and dimension in the theory of Diophantine approx- imation dates back to the 1920s with the theorems of Jarn´ık and Besicovitch regarding well-approximable and badly-approximable ...
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Soft βW-Hausdorff Spaces
... Professor, Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India.. Abstract.[r] ...
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