Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces by Lu-Chuan Ceng, Ching-Feng Wen

“…We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the class of mixed variational inequalities. …”
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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces by Lu-Chuan Ceng, Yeong-Cheng Liou, Ching-Feng Wen, Hui-Ying Hu, Long He, Yun-Ling Cui

“…We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. …”
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Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces by Chin-Tzong Pang, Eskandar Naraghirad, Ching-Feng Wen

“…Some application of our results to the problem of finding a zero of a maximal monotone operator in a Banach space is presented. Our results improve and generalize many known results in the current literature.…”
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Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces by Anna Kisiolek, Ireneusz Kubiaczyk

“…We suppose that f has values in Banach space and satisfies some conditions with respect to the measure of noncompactness and measure of weak noncompactness.…”
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Strong Convergence of Non-Implicit Iteration Process with Errors in Banach Spaces by Yan Hao, Xiaoshuang Wang, Aihua Tong

“…The purpose of this paper is to study the strong convergence of a non-implicit iteration process with errors for asymptotically I-nonexpansive mappings in the intermediate sense in the framework of Banach spaces. The results presented in this paper extend and improve the corresponding results recently announced.…”
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A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces by Yiliang Liu, Liang Lu

“…We study a class of nonlinear fractional integrodifferential equations with p-Laplacian operator in Banach space. Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional p-Laplacian equations. …”
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Strong Convergence of a Monotone Projection Algorithm in a Banach Space by Songtao Lv

“…Strong convergence of the monotone projection algorithm for monotone operators and bifunctions is obtained in a reflexive Banach space.…”
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Strong convergence and control condition of modified Halpern iterations in Banach spaces by Yonghong Yao, Rudong Chen, Haiyun Zhou

“…Let C be a nonempty closed convex subset of a real Banach space X which has a uniformly Gâteaux differentiable norm. …”
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Some Characterizations of k-Strictly Convex and k-Smooth Banach Spaces by Suyalatu Wulede

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Approximating fixed points of λ-firmly nonexpansive mappings in Banach spaces by Gang-Eun Kim

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Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces by Yakov Alber, Simeon Reich, Jen-Chih Yao

“…We study descent-like approximation methods and proximal methods of the retraction type for solving fixed-point problems with nonself-mappings in Hilbert and Banach spaces. We prove strong and weak convergences for weakly contractive and nonexpansive maps, respectively. …”
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Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space by Zhanfei Zuo

“…It is our purpose in this paper to prove two convergents of viscosity approximation scheme to a common fixed point of a family of multivalued nonexpansive mappings in Banach spaces. Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the common fixed-point set of the family of multivalued nonexpansive mapping {𝑇𝑛}.…”
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Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces by Abhimanyu Kumar, Dharmendra K. Gupta, Eulalia Martínez, Sukhjit Singh

“…The semilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. The recurrence relations are derived under weaker conditions on the operator. …”
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Double-dual n-types over Banach spaces not containing ℓ1 by Markus Pomper

“…Let E be a Banach space. The concept of n-type overE is introduced here, generalizing the concept of type overE introduced by Krivine and Maurey. …”
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Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space by Mabrouk Bragdi, Amar Debbouche, Dumitru Baleanu

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Common Fixed Points for Asymptotic Pointwise Nonexpansive Mappings in Metric and Banach Spaces by P. Pasom, B. Panyanak

“…The related results for uniformly convex Banach spaces are also included.…”
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Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space by Hua Su, Lishan Liu, Yonghong Wu

“…We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of strict set contraction operators in the frame of the ODE technique. …”
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Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces by H. Zegeye, N. Shahzad

“…We prove a strong convergence theorem for a common fixed point of a finite family of right Bregman strongly nonexpansive mappings in the framework of real reflexive Banach spaces. Furthermore, we apply our method to approximate a common zero of a finite family of maximal monotone mappings and a solution of a finite family of convex feasibility problems in reflexive real Banach spaces. …”
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Fixed Point and Acute Point Theorems for New Mappings in a Banach Space by Toshiharu Kawasaki

“…Moreover, these concepts extended to Banach space. In this paper, we introduce a new class of mappings on Banach space corresponding to the class of all widely more generalized hybrid mappings on Hilbert space. …”
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Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces by Nicolae Lupa

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