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

“…The present paper studies some common fixed-point theorems for pairs of a single-valued and a multivalued coincidentally commuting mappings in D-metric spaces satisfying a certain generalized contraction condition. Our result generalizes more than a dozen known fixed-point theorems in D-metric spaces including those of Dhage (2000) and Rhoades (1996).…”
Get full text

Some Properties of Solutions to Multiterm Fractional Boundary Value Problems with p-Laplacian Operator by KumSong Jong, HuiChol Choi, KyongJun Jang, SongGuk Jong, KyongSon Jon, Ok Ri

“…In this paper, we study some properties of positive solutions to a class of multipoint boundary value problems for nonlinear multiterm fractional differential equations with p-Laplacian operator. Using the Banach contraction mapping principle, the existence, the uniqueness, the positivity, and the continuous dependency on m-point boundary conditions of the solutions to the given problem are investigated. …”
Get full text

Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions by SunAe Pak, KumSong Jong, KyuNam O, HuiChol Choi

“…We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed-point theorem and Banach contraction mapping principle. Finally, we present some examples to illustrate our main results.…”
Get full text

Quantum Difference Langevin System with Nonlocal q-Derivative Conditions by Surang Sitho, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon

“…The existence and uniqueness of solutions are established by Banach’s contraction mapping principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. …”
Get full text

Some fixed point iteration procedures by B. E. Rhoades

“…This paper provides a survey of iteration procedures that have been used to obtain fixed points for maps satisfying a variety of contractive conditions. The author does not claim to provide complete coverage of the literature, and admits to certain biases in the theorems that are cited herein. …”
Get full text

Hepatitis C Transmission after Prostate Biopsy by Karim Ferhi, Morgan Rouprêt, Pierre Mozer, Guillaume Ploussard, Alain Haertig, Alexandre de La Taille

“…In this study, we report the case of a patient who contracted the hepatitis C virus after transrectal prostate biopsy as part of an individual screening for prostate cancer.…”
Get full text

Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space by Hua Su, Lishan Liu, Yonghong Wu

“…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. …”
Get full text

PPF Dependent Fixed Point Results for Triangular αc-Admissible Mappings by Ljubomir Ćirić, Saud M. Alsulami, Peyman Salimi, Pasquale Vetro

“…We introduce the concept of triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings in Razumikhin class. …”
Get full text

Transcervical Intrauterine Levobupivacaine or Lidocaine Infusion for Pain Control during Endometrial Biopsy by Nermin Kosus, Aydın Kosus, Ruveyda I Demircioglu, Serap A Simavli, Aysel Derbent, Esra Aktepe Keskin, Nilgun O Turhan

“…Pain may occur during dilation of the cervix for insertion of the catheter and during endometrial biopsy, which further aggravates pain by inducing uterine contraction.…”
Get full text

Common fixed point theorems in complex valued non-negative extended b-metric space by Naimat Ullah, Mohammed Shehu Shagari, Tahir Ahmad Khan, Aziz Ullah Khan, Muhammad Atta Ullah Khan

“…We introduce complex valued non-negative extended b-metric spaces and establish new fixed point results for mappings under some rational contractions. Our idea improves and extends corresponding fixed point theorems in the setting of b-metric, extended b-metric and classical metric spaces. …”
Get full text

On Some Fixed Point Results in E−Fuzzy Metric Spaces by Rachid Mecheraoui, Zoran D. Mitrović, Vahid Parvaneh, Hassen Aydi, Naeem Saleem

“…In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. …”
Get full text

Functional-Type Caristi–Kirk Theorem on Menger Space and Application by Soumia Chaira, Mohammed Dahmouni, Abderrahim Eladraoui, Mustapha Kabil

“…In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. …”
Get full text

Existence and blow up for viscoelastic hyperbolic equations with variable exponents by Ying Chu, Bo Wen, Libo Cheng

“…By using the Faedo$ - $Galerkin method and the contraction mapping principle, we obtain the existence of weak solutions under suitable assumptions on the variable exponents $ m(x) $ and $ p(x) $. …”
Get full text

Rectangular Metric-Like Type Spaces and Related Fixed Points by N. Mlaiki, K. Abodayeh, H. Aydi, T. Abdeljawad, M. Abuloha

“…In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. …”
Get full text

A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces by N. Hussain, S. Khaleghizadeh, P. Salimi, Afrah A. N. Abdou

“…Moreover, we suggest some new contractions and prove certain fixed point theorems in triangular intuitionistic fuzzy metric spaces. …”
Get full text

Fixed points for non-surjective expansion mappings by B. K. Sharma, D. R. Sahu, M. Bounias, A. Bonaly

“…The contractive conditions of Popa (Demonstr. Math. 1990, 23, 213-218) were further improved for four non-surjective expansion mappings, and some common fixed point theorems under semi-compatible pairs of mappings are proved. …”
Get full text

A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping by Pushpendra Semwal, Ramesh Chandra Dimri

“…We obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping T from X×X into CB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. …”
Get full text

On a certain class of nonstationary sequences in Hilbert space by Berrabah Bendoukha

“…We study the functions of correlation K(n,m)=〈X(n),X(m)〉 of certain sequences: X(n)=Tnx0, x0∈H where T is a contraction in Hilbert space H. By using the spectral methods of the nonunitary operators we give the general form of K(n,m) and its asymptotic behaviour limp→+∞ K(n+p,m+p).…”
Get full text

Common random fixed points of compatible random operators by Ismat Beg, Mujahid Abbas

“…Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved.…”
Get full text

Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application by Khalil Javed, Fahim Uddin, Hassen Aydi, Aiman Mukheimer, Muhammad Arshad

“…The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. …”
Get full text