The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach spaces by Zeqing Liu, Li Wang, Jeong Sheok Ume, Shin Min Kang

“…We investigate the equivalence between the convergences of the Mann iteration method and the Ishikawa iteration method with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach spaces. A related result deals with the equivalence of the Mann iteration method and the Ishikawa iteration method for φ-pseudocontractive operators in nonempty closed convex subsets of uniformly smooth Banach spaces. …”
Get full text

Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations by Laksaci Noura, Hasan Fady, Boudaoui Ahmed, Mustafa Zead, Shatanawi Wasfi

“…In this work, we prove some fixed point results in generalized Banach spaces (GBS{\mathfrak{G}}{\mathfrak{B}}{\mathfrak{S}}s) in the sense of Perov using the vector degree of nondensifiability tools. …”
Get full text

Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections by Xin-dong Liu, Shih-sen Chang, Xiong-rui Wang

“…Using the metric projection, some strong convergence theorems of common elements are obtained in a uniformly convex and 2-uniformly smooth Banach space. The results presented in this paper improve and extend the corresponding results of Matsushita and Takahshi, 2008, Kang and Wang, 2011, and many others.…”
Get full text

A New Hybrid Algorithm for a Pair of Quasi-𝜙-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces by Jinhua Zhu, Shih-Sen Chang

“…Under suitable conditions some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results.…”
Get full text

Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces by E. U. Ofoedu, Y. Shehu

“…We prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of m-accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space. Consequently, we obtain strong convergence theorems for a countably infinite family of pseudocontractive mappings. …”
Get full text

Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variational-like Inequality Problem and Bregman Relatively Nonexpansive Mapping in Reflexive Banach Space by Saud Fahad Aldosary, Watcharaporn Cholamjiak, Rehan Ali, Mohammad Farid

“…In this paper, we consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of a solution of these auxiliary problems and also prove some properties for the solution set of generalized mixed variational-like inequality problem. …”
Get full text

Generalized Mixed Equilibrium Problems and Fixed Point Problem for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Mappings in Banach Spaces by Jinhua Zhu, Shih-Sen Chang, Min Liu

“…Under suitable conditions some strong convergence theorems are established in an uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results.…”
Get full text

On complete convergence for Lp-mixingales by Yijun Hu

Subjects: Get full text

Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space by Ly Van An, Kandhasamy Tamilvanan, R. Udhayakumar, Masho Jima Kabeto, Ly Van Ngoc

“…The main aim of this work is to examine the Ulam-Hyers stability of this functional equation in non-Archimedean Banach space by using direct and fixed point techniques and examine the stability results in non-Archimedean random normed space.…”
Get full text

A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method by Bijan Orouji, Ebrahim Soori, Donal O’Regan, Ravi P. Agarwal

“…In this paper, using a new shrinking projection method and new generalized k-demimetric mappings, we consider the strong convergence for finding a common point of the sets of zero points of maximal monotone mappings, common fixed points of a finite family of Bregman k-demimetric mappings, and common zero points of a finite family of Bregman inverse strongly monotone mappings in a reflexive Banach space. To the best of our knowledge, such a theorem for Bregman k-demimetric mapping is the first of its kind in a Banach space. …”
Get full text

Stability of ψ-additive mappings: applications to nonlinear analysis by George Isac, Themistocles M. Rassias

Subjects: Get full text

An Iterative Shrinking Projection Method for Solving Fixed Point Problems of Closed and ϕ-Quasi-Strict Pseudocontractions along with Generalized Mixed Equilibrium Problems in Banach Spaces by Kasamsuk Ungchittrakool

“…We provide some new type of mappings associated with pseudocontractions by introducing some actual examples in smooth and strictly convex Banach spaces. Moreover, we also find the significant inequality related to the mappings mentioned in the paper and the mappings defined from generalized mixed equilibrium problems on Banach spaces. …”
Get full text

Some results on the span of families of Banach valued independent, random variables by Rohan Hemasinha

Subjects: Get full text

Convergence Rates of Gradient Methods for Convex Optimization in the Space of Measures by Chizat, Lénaïc

Subjects: Get full text

L1 spaces fail a certain aapproximative property by Aref Kamal

Subjects: Get full text

A Modified Halpern-TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-ϕ-Asymptotically Nonexpansive Mapping in a Banach Space by Preedaporn Kanjanasamranwong, Poom Kumam, Siwaporn Saewan

“…The purpose of this paper is to introduce the modified Halpern-type iterative method by the generalized f-projection operator for finding a common solution of fixed-point problem of a totally quasi-ϕ-asymptotically nonexpansive mapping and a system of equilibrium problems in a uniform smooth and strictly convex Banach space with the Kadec-Klee property. Consequently, we prove the strong convergence for a common solution of above two sets. …”
Get full text

Supremum norm differentiability by I. E. Leonard, K. F. Taylor

Subjects: “…Banach space…”
Get full text

A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION by Choonkil Park, Jung Rye Lee, Dong Yun Shin

Subjects: “…Fuzzy Banach space…”
Get full text

A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-𝜙-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space by J. F. Tan, S. S. Chang

“…The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-𝜙-asymptotically nonexpansive mappings, and null spaces of finite family of 𝛾-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.…”
Get full text

Existence, Uniqueness and Convergence Solution of Nonlinear Caputo-Fabrizio Fractional Biological Population Model by Ali Khalouta

Subjects: Get full text