Involutions with fixed points in 2-Banach spaces by M. S. Khan, M. D. Khan

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On some fixed point theorems in Banach spaces by D. V. Pai, P. Veeramani

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On polynomial equations in Banach space, perturbation techniques and applications by Ioannis K. Argyros

“…We use perturbation techniques to solve the polynomial equation in Banach space. Our techniques provide more accurate information on the location of solutions and yield existence and uniqueness in cases not covered before. …”
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Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces by Saïd Abbas, Mouffak Benchohra, Gaston M. N'Guérékata

“…This paper deals with some existence of mild solutions for two classes of impulsive integrodifferential equations in Banach spaces. Our results are based on the fixed point theory and the concept of measure of noncompactness with the help of the resolvent operator. …”
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Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces by F. Aladsani, A. G. Ibrahim

“…Moreover, it improves some recent existence results for sweeping processes in Banach spaces.…”
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces by Aneta Sikorska-Nowak, Grzegorz Nowak

“…We prove two existence theorems for the integrodifferential equation of mixed type: x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds), x(0)=x0, where in the first part of this paper f, g, h, x are functions with values in a Banach space E and integrals are taken in the sense of Henstock-Kurzweil (HK). …”
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Descent methods for convex optimization problems in Banach spaces by M. S. S. Ali

“…We consider optimization problems in Banach spaces, whose cost functions are convex and smooth, but do not possess strengthened convexity properties. …”
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Coincidence and fixed point theorems in metric and Banach spaces by Zeqing Liu, Jeong Sheok Ume, Mohammad S. Khan

“…We prove some coincidence and fixed point theorems for generalized (ϕ,f)-contractive type and f-nonexpansive type multivalued and singlevalued mappings in metric and Banach spaces, respectively. Our results extend, improve, and unify a few known results due to Browder, Browder and Petryshyn, Chang, Huang, and Cho, Husain and Latif, Husain and Tarafdar, and Karlovitz.…”
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Composition Operators on Some Banach Spaces of Harmonic Mappings by Munirah Aljuaid, Flavia Colonna

“…We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.…”
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Differentiation Theory over Infinite-Dimensional Banach Spaces by Claudio Asci

“…We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded real sequences xnn∈I and a measure over RI,B(I) that generalizes the k-dimensional Lebesgue one. …”
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V-Prox-Regular Functions in Smooth Banach Spaces by Messaoud Bounkhel, Mostafa Bachar

“…We define an appropriate concept of the V-prox-regularity for functions in reflexive smooth Banach spaces by adapting the one given in Hilbert spaces. …”
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Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces by Si-Huan Li, Qiang Wang, Shu Xu, Jun-Xiang Wang

“…The concept of sharp efficient solution for vector equilibrium problems on Banach spaces is proposed. Moreover, the Fermat rules for local efficient solutions of vector equilibrium problems are extended to the sharp efficient solutions by means of the Clarke generalized differentiation and the normal cone. …”
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Functional differential equations with infinite delay in Banach spaces by Jin Liang, Tijun Xiao

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Nonlinear random operator equations and inequalities in Banach spaces by Antonios Karamolegos, Dimitrios Kravvaritis

“…In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. …”
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Approximate Quartic and Quadratic Mappings in Quasi-Banach Spaces by M. Eshaghi Gordji, H. Khodaei, Hark-Mahn Kim

“…In addition, we investigate the generalized Hyers-Ulam stability in p-Banach spaces.…”
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On Weak Exponential Expansiveness of Evolution Families in Banach Spaces by Tian Yue, Xiao-qiu Song, Dong-qing Li

“…The aim of this paper is to give several characterizations for the property of weak exponential expansiveness for evolution families in Banach spaces. Variants for weak exponential expansiveness of some well-known results in stability theory (Datko (1973), Rolewicz (1986), Ichikawa (1984), and Megan et al. (2003)) are obtained.…”
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Weighted Vector-Valued Holomorphic Functions on Banach Spaces by Enrique Jordá

“…We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. …”
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On the rate of convergence of bootstrapped means in a Banach space by S. Ejaz Ahmed, T.-C. Hu, Andrei I. Volodin

“…We establish the complete convergence for arrays of Banach space valued random elements. This result is applied to bootstrapped means of random elements to obtain their strong consistency and is derived in the spirit of Baum-Katz/Hsu-Robbins/Spitzer type convergence.…”
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On Picard–Krasnoselskii Hybrid Iteration Process in Banach Spaces by Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad

“…In this research, we prove strong and weak convergence results for a class of mappings which is much more general than that of Suzuki nonexpansive mappings on Banach space through the Picard–Krasnoselskii hybrid iteration process. …”
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Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces by Chin-Tzong Pang, Eskandar Naraghirad

“…We first introduce a new class of mappings called Bregman asymptotic pointwise nonexpansive mappings and investigate the existence and the approximation of fixed points of such mappings defined on a nonempty, bounded, closed, and convex subset C of a real Banach space E. Without using the original Opial property of a Banach space E, we prove weak convergence theorems for the sequences produced by generalized Mann and Ishikawa iteration processes for Bregman asymptotic pointwise nonexpansive mappings in a reflexive Banach space E. …”
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