On Asymptotic Pointwise Contractions in Modular Metric Spaces by Afrah A. N. Abdou

“…In this paper we study and prove some new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric spaces.…”
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Fixed point of nonexpansive type and K-multivalued maps by Abdul Latif, Taqdir Husain, Ismat Beg

“…Some fixed point theorems for nonexpansive type and K-multivalued mappings are proved. …”
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Expansive Mappings and Their Applications in Modular Space by A. Azizi, R. Moradi, A. Razani

“…Some fixed point theorems for ρ-expansive mappings in modular spaces are presented. …”
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Generalized Reich–Ćirić–Rus-Type and Kannan-Type Contractions in Cone b-Metric Spaces over Banach Algebras by Yan Han, Shaoyuan Xu

“…Moreover, we present some nontrivial examples to support the new concepts and our fixed point theorems.…”
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Existence of Nontrivial Solutions for Some Second-Order Multipoint Boundary Value Problems by Hongyu Li, Junting Zhang

“…By using fixed point theorems with lattice structure, the existence of negative solution and sign-changing solution for some second-order multipoint boundary value problems is obtained.…”
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On sequences of contractive mappings and their fixed points by M. Imdad, M. S. Khan, S. Sessa

“…By using a condition of Reich, we establish two fixed point theorems concerning sequences of contractive mappings and their fixed points. …”
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On coincidence and common fixed points of nearly densifying mappings by Zeqing Liu, Jeong Sheok Ume

“…Coincidence and common fixed point theorems for certain new classes of nearly densifying mappings are established. …”
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On Cyclic Generalized Weakly C-Contractions on Partial Metric Spaces by Erdal Karapınar, Vladimir Rakocević

“…The results of this paper extend, generalize, and improve some fixed point theorems in the literature.…”
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On fixed points of set-valued directional contractions by Sehie Park

“…Using equivalent formulations of Ekeland's theorem, we improve fixed point theorems of Clarke, Sehgal, Sehgal-Smithson, and Kirk-Ray on directional contractions by giving geometric estimations of fixed points.…”
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New Nonlinear Conditions and Inequalities for the Existence of Coincidence Points and Fixed Points by Wei-Shih Du, Shao-Xuan Zheng

“…Some new fixed point theorems for nonlinear maps are established. …”
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Impulsive Antiperiodic Boundary Value Problems for Nonlinear qk-Difference Equations by Lihong Zhang, Bashir Ahmad, Guotao Wang

“…We show the existence and uniqueness of solutions for an antiperiodic boundary value problem of nonlinear impulsive qk-difference equations by applying some well-known fixed point theorems. An example is presented to illustrate the main results.…”
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Two New Geraghty Type Contractions in Gb-Metric Spaces by Yixiao Wang, Chunfang Chen

“…In this work, two Geraghty type contractions are introduced in Gb-metric spaces, and some fixed point theorems about the contractions are proved. At the end of this article, a theorem about unique solution of an integral function is proved.…”
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Fixed Point Results in Quasi-Cone Metric Spaces by Fawzia Shaddad, Mohd Salmi Md Noorani

“…The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. …”
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Fixed Point Results via G-Function over the Complete Partial b-Metric Space by Sara Salem Alzaid, Andreea Fulga, Badr Alqahtani

“…In this paper, we consider an auxiliary function G to combine and unify several existing fixed point theorems in the setting of the complete partial b-metric space. …”
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A generalization of contraction principle by K. M. Ghosh

“…Using the generalized mean value contraction, some fixed point theorems are discussed.…”
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Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces by Chi-Ming Chen, W. Y. Sun

“…Our results generalize or improve many recent fixed point theorems in the literature.…”
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Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces by Dušan Ðukić, Zoran Kadelburg, Stojan Radenović

“…Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. …”
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Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type by K. Balachandran, J.-H. Kim

“…We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems. The results obtained in this paper generalize the results of several papers.…”
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Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions by Sirous Moradi, Erdal Karapınar, Hassen Aydi

“…For this purpose, we present some fixed point theorems for weakly and generalized weakly contractive mappings in the setting of partially ordered complete metric spaces.…”
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The fixed point index for accretive mapping with K—set contraction perturbation in cones by Yu-Qing Chen

“…Let P be cone Banach space E, A, K are two mappings in P, A accretive, K is K—set contraction, then fixed point index defined for mapping −A+K, some fixed point theorems are also deduced.…”
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