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MR3098564 Reviewed Al-Thagafi, M. A.; Shahzad, Naseer Krasnosel'skii-type fixed-point results. J. Nonlinear Convex Anal. 14 (2013), no. 3, 483–491. (Reviewer: Calogero Vetro) 47H10 (47H09)

2014
The Krasnosel'skii fixed-point theorem is a powerful tool in dealing with various types of integro-differential equations. The initial motivation of this theorem is the fact that the inversion of a perturbed differential operator may yield the sum of a continuous compact mapping and a contraction mapping.
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MR3136189 Reviewed Merghadi, F.; Godet-Thobie, C. Common fixed point theorems under contractive conditions of integral type in symmetric spaces. Demonstratio Math. 46 (2013), no. 4, 757–780. (Reviewer: Pasquale Vetro) 47H10 (47H09)

2014
The problem of establishing the existence of fixed points for mappings satisfying weak contractive conditions in metric spaces has been widely investigated in the last few decades. More recently, many papers have been published extending this study to various metric contexts.
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Edelstein’s Astonishing Affine Isometry

American Mathematical Monthly, 2021
Walaa Moursi, Heinz Bauschke
exaly  

Proximinal Retracts and Best Proximity Pair Theorems

Numerical Functional Analysis and Optimization, 2003
Simeon Reich, P Veeramani
exaly  

Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces

Kodai Mathematical Journal, 1979
Norimichi Hirano
exaly  

The existence of nonexpansive retractions in Banach spaces

Journal of the Mathematical Society of Japan, 1986
Norimichi Hirano
exaly  

Metric type spaces and λ-sequences

Quaestiones Mathematicae, 2017
Yae Ulrich Gaba
exaly  

Nonlinear ergodic theorems and weak convergence theorems

Journal of the Mathematical Society of Japan, 1982
Norimichi Hirano
exaly  

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