Solution of Nonlinear Fredholm Integral Equations on Almost Z⊥-Contraction by Gunasekaran Nallaselli, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Khalil Javed, Yahya Almalki

“…In this manuscript, we develop an orthogonal to basically Z-contraction and demonstrate various fixed point theorems of nonlinear Fredholm integral equation solutions in such a contraction. …”
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Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces by Poom Kumam, Nguyen Van Dung, Vo Thi Le Hang

“…As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces.…”
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Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions by S. Nageswara Rao, Ahmed Hussein Msmali, Manoj Singh, Abdullah Ali H. Ahmadini

“…Our results are based on some classical fixed point theorems such as Banach contraction mapping principle, Leray-Schauder fixed point theorems. …”
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On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in D-metric spaces by B. C. Dhage, A. Jennifer Asha, S. M. Kang

“…Our result generalizes more than a dozen known fixed-point theorems in D-metric spaces including those of Dhage (2000) and Rhoades (1996).…”
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A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces by N. Hussain, S. Khaleghizadeh, P. Salimi, Afrah A. N. Abdou

“…The aim of this paper is to propose some fixed point theorems in complete parametric metric spaces. …”
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An Application of Fixed Point Theory to a Nonlinear Differential Equation by A. P. Farajzadeh, A. Kaewcharoen, S. Plubtieng

“…We introduce a new family of mappings on [0,+∞) by relaxing the nondecreasing condition on the mappings and by using the properties of this new family we present some fixed point theorems for α-ψ-contractive-type mappings in the setting of complete metric spaces. …”
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Fixed Point Theory in α-Complete Metric Spaces with Applications by N. Hussain, M. A. Kutbi, P. Salimi

“…As an application, we derive some Suzuki type fixed point theorems and new fixed point theorems for ψ-graphic-rational contractions. …”
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Generalized Darbo-Type F-Contraction and F-Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation by Mian Bahadur Zada, Muhammad Sarwar, Thabet Abdeljawad, Fahd Jarad

“…In this work, we introduce various Darbo-type F£-contractions, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F£-expanding mapping and prove fixed point theorems under the Darbo-type F£-expanding mapping. …”
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Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space by Mohammad Rashid

“…Within these star-shaped subsets, we showcase various fixed point theorems for mappings of the non-expansive type that commute. …”
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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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