1-to-many mappings
![On monotone nonexpansive mappings in \(L_{1}([0,1])\)](data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==)
On monotone nonexpansive mappings in \(L_{1}([0,1])\)
... Banach’s contraction principle [] is remarkable in its simplicity, yet it is perhaps the most widely applied fixed point theorem in all of analysis. This is because the contractive con- dition on the mapping is simple ...
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Investigating the Significance of "One-to-many" Mappings in Multiobjective Optimization.
... Consumers can find themselves in a position to consider some similar performances to be equivalent. An example can be given for a customer comparing fuel economy of car models. A person with an indifference threshold of ...
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Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications
... contains many kinds of mappings as its special cases, and then by using hybrid algorithm to introduce a new iterative scheme for find- ing a common element of set of solutions for a system of generalized ...
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Common fixed point theorems for commuting k uniformly Lipschitzian mappings
... for every i ∈ N and every x,y in X. A 1-uniformly Lipschitzian map is called non- expansive. For such class of mappings we recall the following most important result. Theorem 2.4 (see [6]). Let (X,d) be a ...
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More on Generalizations of Weakly Continuity
... Many continuous mappings by utilizing different kinds of generalized closed sets were introduced and ...of mappings g ~ ~ s -continuity and g ~ ~ s -irresoluteness are introduced and ...
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An Iterative Method for Generalized Equilibrium Problems, Fixed Point Problems and Variational Inequality Problems
... Inspired and motivated by the works mentioned above, in this paper, we introduce an iterative process for finding a common element of the set of common fixed points of infinitely many nonexpansive mappings, ...
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Semi precontinuous functions and properties of generalized semi preclosed sets in topological spaces
... then many authors including Andrijevi´ c have studied this class of sets by defining their neighborhoods, separation axioms and ...semi-precontinuous mappings, semi-preopen mappings, semi-preclosed ...
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Quantitative comparison of mapping methods between Human and Mammalian Phenotype Ontology
... the mappings generated by the formal definitions method depends solely on the availability and quality of the formal defini- tions for both ontologies, which constitutes an advantage at the same ...
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Unifying a multitude of common fixed point theorems with complex coefficients employing an implicit relation
... Proof. Appealing to componentwise commutativity of various pairs, one immediately con- cludes that SI = IS and T J = JT and hence, obviously both the pairs (S, I) and (T, J) are weak compatible. Note that all the ...
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Iterative approximation of common attractive points of further generalized hybrid mappings
... From this definition, neither an attractive point is a fixed point nor conversely. How- ever, for a relation between the two, see Lemmas 1 and 3. Basically this concept was intro- duced to get rid of the hypothesis ...
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On fixed points of fundamentally nonexpansive mappings in Banach spaces
... Let T be a self-mapping of K . The mapping T is called nonexpansive if kT x − T yk 6 kx − yk for all x, y ∈ K. We denote by F (T ) the fixed points set of T , i.e., F (T ) = {x ∈ K : T x = x}. T is called ...
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A Hybrid Extragradient Viscosity Approximation Method for Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings
... of the set of solutions of the equilibrium problem 1.13, the set of common fixed points of infinitely family nonexpansive mappings, and the set of solutions of variational inequality 1.1 for a β-inverse-strongly ...
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Some Common Fixed Point Theorems for Weakly Compatible Mappings in Metric Spaces
... {G, J} is not a δ-compatible pair. We know that 1/2 is the unique common fixed point of I, J, F and G. Hence the hypotheses of Theorem 2.1 are satisfied. Theorem 1.10 is not applicable because GJx / JGx for all x ...
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Common fixed points in complex S-metric space
... time, many results on finding a fixed point in different metric spaces and under many different contraction principles were proved; see, for example, [3], [5], [6], [8] and [10] and the references ...are ...
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Deep Generalized Canonical Correlation Analysis
... arbitrarily many views and simultaneously learns nonlinear mappings from each view to this shared ...1961). 1 We evaluate DGCCA-learned rep- resentations on three downstream tasks: (1) pho- ...
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Common Fixed Points in Fuzzy Metric Spaces
... four mappings in a fuzzy metric spaces and modified the notion of fuzzy metric spaces with the help of continuous ...t-norms. Many researchers have obtained common fixed point theorems for mappings ...
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Implicit predictor corrector iteration process for finitely many asymptotically (quasi )nonexpansive mappings
... In this paper, we introduce the following implicit predictor-corrector iteration process with an auxiliary finite family of asymptotically quasi-nonexpansive self-mappings on C. Definition 1.3 (basic setup). Let C ...
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1.Introduction In recent years, singular integral equations arise in many problems of
... in many problems of mathematical physics, such as the theory of elasticity, viscoelasticity, ...Also, many problems of fracture mechanics, aerodynamics, the theory of porous filtering, antenna problems in ...
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An intermixed algorithm for strict pseudo-contractions in Hilbert spaces
... nonexpansive mappings have been investigated extensively in the literature; see [–] and the references ...pseudo-contractive mappings are far less developed than those for nonexpansive map- pings though ...
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Semigroups of differentiable functions
... Even more recently S. Yamamuro has written a number of papers directed towards generalising the above result of Magill to semi- groups of differentiable mappings defined on certain classes of locally convex ...
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