Existence of Tripled Fixed Points for a Class of Condensing Operators in Banach Spaces by Vatan Karakaya, Nour El Houda Bouzara, Kadri Doğan, Yunus Atalan

“…We give some results concerning the existence of tripled fixed points for a class of condensing operators in Banach spaces. Further, as an application, we study the existence of solutions for a general system of nonlinear integral equations.…”
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Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces by Yali Zhao, Zunquan Xia, Zeqing Liu, Shin Min Kang

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Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces by Shuang Wang

“…In this paper, we consider two general algorithms and obtain the extension results for computing fixed points of nonexpansive mappings in Banach spaces. Moreover, the fixed points solve the same system of nonlinear variational inequalities.…”
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Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition by Thanomsak Laokul

“…We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. …”
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The weighted generalized Atangana-Baleanu fractional derivative in banach spaces- definition and applications by Muneerah AL Nuwairan, Ahmed Gamal Ibrahim

“…We prove the existence of the stability of solutions of non-local differential equations and non-local differential inclusions, in Banach spaces, with this new fractional derivative in the presence of instantaneous and non-instantaneous impulses. …”
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Gateaux Differentiability of Convex Functions and Weak Dentable Set in Nonseparable Banach Spaces by Shaoqiang Shang, Yunan Cui

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Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space by Rongfei Lin, Yueqing Zhao, Qingbiao Wu, Jueliang Hu

“…We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. …”
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A Strong Law of Large Numbers for Random Sets in Fuzzy Banach Space by R. Ghasemi, A. Nezakati, M. R. Rabiei

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Hyers–Ulam Stability Results for a Functional Inequality of s,t-Type in Banach Spaces by Raweerote Suparatulatorn, Tanadon Chaobankoh

“…Using the direct method and the fixed point method, we give the Hyers–Ulam stability of such functional inequality in Banach spaces.…”
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A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian by Goering, Max, Koch, Lukas

“…We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler $\gamma $-Laplacian defined on a $\sigma $-convex, $\tau $-smooth Banach space. …”
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A Class of Schur Multipliers on Some Quasi-Banach Spaces of Infinite Matrices by Nicolae Popa

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Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces by Zhanfei Zuo

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Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces by J. Rocha, B. Rzepka, K. Sadarangani

“…We prove the existence of the PPF dependent fixed point in the Razumikhin class for contractions of rational type in Banach spaces, by using a general class of pairs of functions. …”
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Convergence of a Viscosity Iterative Method for Multivalued Nonself-Mappings in Banach Spaces by Jong Soo Jung

“…Let be a reflexive Banach space having a weakly sequentially continuous duality mapping with gauge function , a nonempty closed convex subset of , and a multivalued nonself-mapping such that is nonexpansive, where . …”
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Convergence to Common Fixed Point for Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces by Yali Li, Jianjun Liu, Lei Deng

“…Let K be a nonempty closed convex subset of a reflexive and strictly convex Banach space E with a uniformly Gâteaux differentiable norm, ℱ={T(h):h≥0} a generalized asymptotically nonexpansive self-mapping semigroup of K, and f:K→K a fixed contractive mapping with contractive coefficient β∈(0,1). …”
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Strong Convergence Theorems for Quasi-Bregman Nonexpansive Mappings in Reflexive Banach Spaces by Mohammed Ali Alghamdi, Naseer Shahzad, Habtu Zegeye

“…We study a strong convergence for a common fixed point of a finite family of quasi-Bregman nonexpansive mappings in the framework of real reflexive Banach spaces. As a consequence, convergence for a common fixed point of a finite family of Bergman relatively nonexpansive mappings is discussed. …”
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On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces by Qianglian Huang, Lanping Zhu, Xiaoru Chen, Chang Zhang

“…We investigate the stable perturbation of the generalized Drazin inverses of closed linear operators in Banach spaces and obtain some new characterizations for the generalized Drazin inverses to have prescribed range and null space. …”
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A degree theory for locally compact perturbations of Fredholm maps in Banach spaces

“…<p>We present an integer valued degree theory for locally compact perturbations of Fredholm maps of index zero between (open sets in) Banach spaces <emph>quasi-Fredholm maps</emph>, for short). …”
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On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces by M. De la Sen

“…A set of np(≥2)-cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping of interest. …”
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Fredholm Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions of Type H∞ by M. Carmen Gómez-Collado, David Jornet

“…We study Fredholm (weighted) composition operators between general weighted Banach spaces of analytic functions on the open unit disc with sup-norms.…”
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