Coincidence point
View article
Fixed point theorems for Kannan type mappings Open
In this note, we prove some fixed point theorems for Kannan type mappings. We will use the additional conditions as compactness or asymptotic regularity or involutions. Our proofs are inspired by the study of Lipschitzian mappings (Agarwal…
View article
Simulation type functions and coincidence points Open
In this paper, we obtain some sufficient conditions for the existence and uniqueness of point of coincidence by using simulation functions in the context of metric spaces and prove some interesting results. Our results generalize the corre…
View article
Fixed Point Theorems for Geraghty Contraction Type Mappings in b-Metric Spaces and Applications Open
In this paper, some new results are given on fixed and common fixed points of Geraghty type contractive mappings defined in b-complete b-metric spaces. Moreover, two examples are represented to show the compatibility of our results. Some a…
View article
On solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces Open
In this paper, we introduce and study iterative schemes for solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces and prove that the modified Mann iteration converges weakly to …
View article
Fixed point theorems of JS-quasi-contractions Open
In this paper, we introduce the concept of JS-quasi-contraction and prove some fixed point results for JS-quasi-contractions in complete metric spaces under the assumption that the involving function is nondecreasing and continuous. These …
View article
New Extensions of Kannan’s and Reich’s Fixed Point Theorems for Multivalued Maps Using Wardowski’s Technique with Application to Integral Equations Open
The metric function generalizes the concept of distance between two points and hence includes the symmetric property. The aim of this article is to introduce a new and proper extension of Kannan’s fixed point theorem to the case of multiva…
View article
Wardowski type fixed point theorems in complete metric spaces Open
In this paper, we state and prove Wardowski type fixed point theorems in metric space by using a modified generalized F -contraction maps. These theorems extend other well-known fundamental metrical fixed point theorems in the literature (…
View article
Coincidence Point Results for Multivalued Suzuki Type Mappings Using θ-Contraction in b-Metric Spaces Open
In this paper, we introduce the concept of coincidence best proximity point for multivalued Suzuki-type α -admissible mapping using θ -contraction in b-metric space. Some examples are presented here to understand the use of the main result…
View article
A Solution of Fredholm Integral Equation by Using the Cyclic η s q -Rational Contractive Mappings Technique in b-Metric-Like Spaces Open
In this article, the notion of cyclic η s q -rational contractive mappings is discussed and some fixed point theorems in the context of complete b-metric-like spaces are showed. Here, the obtained consequences unify, extend and generalize …
View article
Fixed point results for fuzzy mappings in a b-metric space Open
In this paper, we establish some fixed point results for fuzzy mappings in a complete dislocated b-metric space. Our results generalize and extend the results of Joseph et al. (SpringerPlus 5:Article ID 217, 2016). We also give examples to…
View article
Contractive mapping theorems in Partially ordered metric spaces Open
The purpose of this paper is to establish some coincidence, common fixed point theorems for monotone $f$-non decreasing self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order…
View article
Fixed point theorems for generalized F-Suzuki-contraction mappings in complete b-metric spaces Open
The aim of this work is to establish some new fixed point theorems for generalized F -Suzuki-contraction mappings in complete b -metric spaces.
View article
On some fixed point theorems in generalized metric spaces Open
In this paper, we obtain some generalizations of fixed point results for Kannan, Chatterjea and Hardy-Rogers contraction mappings in a new class of generalized metric spaces introduced recently by Jleli and Samet (Fixed Point Theory Appl. …
View article
Fixed point theorems for F-expanding mappings Open
Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012) introduced a new concept of F -contraction and proved a fixed point theorem which generalizes the Banach contraction principle. Following this direction of research, in this pape…
View article
Cyclic compatible contraction and related fixed point theorems Open
In this work, we introduce the concept of a cyclic compatible contraction and prove related fixed point theorems in the generating space of a b -quasi-metric family.
View article
A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces Open
This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C -type functions in partially ordered complete metric-like space (for short, POCML space).…
View article
Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications Open
In this paper, motivated and inspired by Samet et al., we introduce the notion of generalized weakly contractive mappings in metric spaces and prove the existence and uniqueness of fixed point for such mappings, and we obtain a coupled fix…
View article
Multivalued F-contractions and related fixed point theorems with an application Open
In this paper, we introduce the notions of ?-F-contractions, by combining the notions of ?-?-contraction and F-contraction. Using our new notions we obtain some fixed point theorems for multivalued mappings. As an application we establish …
View article
Generalized Contractive Mappings and Related Results in b-Metric Like Spaces with an Application Open
In this article, a general contractive mapping is presented and some fixed point results in complete b-metric-like spaces are studied. The results obtained here extend and improve some related results in the literature. Also, new common fi…
View article
Unified relation-theoretic metrical fixed point theorems under an implicit contractive condition with an application Open
The main purpose of this article is to establish relation-theoretic metrical fixed point theorems via an implicit contractive condition which is general enough to yield a multitude of corollaries corresponding to several well known contrac…
View article
Caristi type and meir-keeler type fixed point theorems Open
We generalize the Caristi fixed point theorem by employing a weaker form of continuity and show that contractive type mappings that satisfy the conditions of our theorem provide new solutions to the Rhoades? problem on continuity at fixed …
View article
Fixed points of Suzuki-type generalized multivalued (f,θ,L)- almost contractions with applications Open
In this paper, we define Suzuki type generalized multivalued almost contraction mappings and prove some related fixed point results. As an application, some coincidence and common fixed point results are obtained. The results proved herein…
View article
Fixed point theorems of soft contractive mappings Open
The first aim of this paper is to examine some important properties of soft\n metric spaces. Second is to introduce soft continuous mappings and\n investigate properties of soft continuous mappings. Third, to prove some\n fixed point theor…
View article
Multivalued generalizations of fixed point results in fuzzy metric spaces Open
This paper attempts to prove fixed and coincidence point results in fuzzy metric space using multivalued mappings. Altering distance function and multivalued strong {bn}-fuzzy contraction are used in order to do that. Presented theorems ar…
View article
Multivariate fixed point theorems for contractions and nonexpansive mappings with applications Open
The first purpose of this paper is to prove an existence and uniqueness result for the multivariate fixed point of a contraction type mapping in complete metric spaces. The proof is based on the new idea of introducing a convenient metric …
View article
Coincidence and common fixed point theorems for four mappings satisfying (alpha(s),F)-contraction Open
In this paper, we manifest some coincidence and common fixed point theorems for four self-mappings satisfying Círíc-type and Hardy–Rogers-type (αs,F)-contractions defined on an αs-complete b-metric space. We apply these results to infer se…
View article
Coincidence best proximity point of Fg -weak contractive mappings in partially ordered metric spaces Open
The aim of this paper is to present coincidence best proximity point results of F g -weak contractive mappings in partially ordered metric space.Some examples are presented to prove the validity of our results.
View article
Common fixed point theorems under $(R,\mathcal {S})$-contractivity conditions Open
Very recently, Roldán-López-de-Hierro and Shahzad introduced the notion of R -contractions as an extension of several notions given by different researchers (for instance, R -contractions generalize Meir-Keeler contractions, $\mathcal{Z}$ …
View article
Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces Open
In this paper, we introduce best proximal contractions in complete ordered non-Archimedean fuzzy metric space and obtain some proximal results. The obtained results unify, extend, and generalize some comparable results in the existing lite…
View article
On Fixed Point Results in Gb-Metric Spaces Open
The purpose of this paper is to consider various results in the context of G b -metric spaces that have been recently published after the paper (Aghajani, A.; Abbas, M.; Roshan, J.R. Common fixed point of generalized weak contractive mappi…