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Uniformly L-Lipschitzian

Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings

Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings

... weak uniformly LLipschitzian mappings in a real Banach ...weak uniformly LLipschitzian mappings is an interesting generalization of the class of nearly weak uniformly ...

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Convergence of a Modified Multi-Step Iterative Scheme for p- Nearly Uniformly L-Lipschitzian Asymptotically Pseudocontrative Mappings

Convergence of a Modified Multi-Step Iterative Scheme for p- Nearly Uniformly L-Lipschitzian Asymptotically Pseudocontrative Mappings

... of uniformly L-Lipschitzian and asymptotically pseudocontractive mappings in the setting of Hilbert ...real uniformly smooth Banach ...

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A modified viscosity implicit rule for a variational inequality problem and a uniformly L-Lipschitzian asymptotically pseudocontractive mapping in a Banach space

A modified viscosity implicit rule for a variational inequality problem and a uniformly L-Lipschitzian asymptotically pseudocontractive mapping in a Banach space

... In this paper, we propose a modified implicit rule for the uniformly L-Lipschitzian and asymptotically pseu- docontractive mapping in a Banach space.Related strong convergence theorems are ...

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Strong convergence theorems for uniformly L Lipschitzian asymptotically pseudocontractive mappings in Banach spaces

Strong convergence theorems for uniformly L Lipschitzian asymptotically pseudocontractive mappings in Banach spaces

... In this paper, we establish some strong convergence theorems of the modified Ishikawa and Mann iterations with errors of uniformly L-Lipschitzian asymptotically pseudocontractive mappings in real ...

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Strong Convergence of an Implicit Iteration Process for a Finite Family of Uniformly  Lipschitzian Mappings in Banach Spaces

Strong Convergence of an Implicit Iteration Process for a Finite Family of Uniformly Lipschitzian Mappings in Banach Spaces

... The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in the paper improve and extend the ...

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Convergence theorems on asymptotically demicontractive and hemicontractivemappings in the intermediate sense

Convergence theorems on asymptotically demicontractive and hemicontractivemappings in the intermediate sense

... for uniformly L-Lipschitzian asymptotically demi- contractive mappings in the intermediate sense and asymptotically hemicontractive maps in the intermediate ...

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On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach Spaces

On The Convergence Of Modified Noor Iteration For Nearly Lipschitzian Maps In Real Banach Spaces

... Observe that the class of nearly uniformly LLipschitzian mapping is more general than the class of uniformly LLipschitzian mappings. In recent years, many authors have given ...

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Perturbed projection and iterative algorithms for a system of general regularized nonconvex variational inequalities

Perturbed projection and iterative algorithms for a system of general regularized nonconvex variational inequalities

... every Lipschitzian mapping is a generalized Lipschitzian map- ...generalized Lipschitzian mappings. (3) Clearly, the class of nearly uniformly L-Lipschitzian mappings properly ...

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Some Results for a Finite Family of Uniformly -Lipschitzian Mappings in Banach Spaces

Some Results for a Finite Family of Uniformly -Lipschitzian Mappings in Banach Spaces

... The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in the paper not only correct some ...

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Construction of common fixed points of a finite family of asymptotically φ-demicontractive maps in arbitrary Banach spaces

Construction of common fixed points of a finite family of asymptotically φ-demicontractive maps in arbitrary Banach spaces

... In this paper, we prove that the iteration process (6) converges to the common fixed points of the finite family of N uniformly LLipschitzian asymptotically φ −demicontractive mappings in arbitrary ...

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Convergence Theorems of an Implicit Iterates with Errors for Total Asymptotically Pseudo-Contractive Mappings

Convergence Theorems of an Implicit Iterates with Errors for Total Asymptotically Pseudo-Contractive Mappings

... A bstract . The goal of this paper is to establish weak and strong convergence theorems of an implicit iteration process with errors to converge to common fixed points for a finite family of uniformly ...

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General nonconvex variational inclusions and fixed point problems

General nonconvex variational inclusions and fixed point problems

... In , Clarke et al. [] introduced and studied a new class of nonconvex sets, called proximally smooth sets; subsequently, Poliquin et al. in [], investigated the aforemen- tioned set under the name of ...

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Fixed point theorems for generalized Lipschitzian semigroups

Fixed point theorems for generalized Lipschitzian semigroups

... [17] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. II. Function Spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Ar- eas], vol. 97, Springer-Verlag, Berlin, ...

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Fixed point problems and a system of generalized nonlinear mixed variational inequalities

Fixed point problems and a system of generalized nonlinear mixed variational inequalities

... In the present paper, we introduce and consider a new system of generalized nonlinear mixed variational inequalities involving six different nonlinear operators (SGNMVID). We first verify the equivalence between the ...

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The  low-call  diet:  Authenticated  Encryption  for  call  counting   HSM  users

The low-call diet: Authenticated Encryption for call counting HSM users

... Let Game1 rand be exactly the same as Game1 but we now replace F K with a function drawn uniformly at random from the set of all functions mapping l -bit strings to l ′ = l -bit strings [r] ...

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FIBONACCI-MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN MODULAR SPACES

FIBONACCI-MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN MODULAR SPACES

... Remark 2.1. It is known that, under suitable assumptions, the uniform con- vexity of the modular in Orlicz spaces is satisfied provided the Orlicz function is uniformly convex [10, 17]. As an example of Orlicz ...

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On uniformly close to convex functions and uniformly quasiconvex
functions

On uniformly close to convex functions and uniformly quasiconvex functions

... Let Q denote the class of quasiconvex functions defined in ∆. It was shown that Q ≺ K, where ≺ denotes subordination, so that every quasiconvex function is close to convex. Goodman [2, 3] introduced the classes UCV and ...

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Measuring Velocity of Moving Inertial Frames with Light Transmissions

Measuring Velocity of Moving Inertial Frames with Light Transmissions

... If the author’s theory is consistent and experimentally verified, it may take years to plot the laboratory’s velocity as a moving reference frame relative to an “ideal” resting frame, such as the celestial sphere. This ...

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Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces

Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces

... Remark 1.1. If FT is nonempty, then it follows from the above definitions that an asymptotically nonexpansive mapping must be asymptotically quasi-nonexpansive, and an asymptotically quasi-nonexpansive mapping must be a ...

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Approximating Common Fixed Points of Two Sequences of Uniformly Quasi lipschitzian Mappings in Convex Cone Metric Spaces

Approximating Common Fixed Points of Two Sequences of Uniformly Quasi lipschitzian Mappings in Convex Cone Metric Spaces

... of uniformly quasi-Lipschitzian mappings in convex cone metric spaces by comparing the convergence theorems considered in convex metric spaces [5, 7, ...

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