Mohammad Imdad
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Solving Fractional Differential Equations via New Relation-Theoretic Fuzzy Fixed Point Theorems Open
In this paper, we present the notion of fuzzy R−F−contractive mappings and provide some fuzzy fixed point results in the setting of fuzzy metric spaces, which are endowed with binary relations. Furthermore, we apply our newly established f…
Some fixed point theorems under relational Suzuki generalized LR-contractions with an application Open
In this article, we introduce the idea of relational Suzuki generalized LR-contractions and utilize the same to prove some fixed point results in R-complete metric spaces employing binary relation. Our newly proved results yield sharpened …
View article: Relation‐Theoretic F‐Contractions in Symmetric Spaces With Applications
Relation‐Theoretic F‐Contractions in Symmetric Spaces With Applications Open
In this paper, we establish a fixed point theorem for relational F ‐contraction in symmetric spaces employing the idea of locally T‐transitive binary relation in the presence of relational completeness (i.e., R‐completeness) of the underly…
Fixed point results employing simulation functions in JS-metric spaces Open
This paper introduces a new class of contractions in JS-metric spaces and utilizes it to obtain fixed point results, which generalize several well-known results. Moreover, an example is given to illustrate the utility of the obtained resul…
On Generalized Lipschitzian Semitopological Semigroup of Self-Mappings With Applications Open
In this paper, we use a generalized Lipschitzian type condition for a semigroup of self-mappings as employed in Imdad and Soliman (Fixed Point Theory Appl. Vol. (2010), Article ID 692401, 1-14) to prove a fixed point theorem for a generali…
Fixed Point and Best Proximity Point Results in PIV- <i>S</i> -Metric Spaces Open
This paper presents the concept of a partial idempotent valued S -metric space, abbreviated as PIV- S -metric space, as a generalization of both the PIV-metric space and S -metric space. The study utilizes this new framework to establish a…
Coincidence point results on a metric space endowed with a locally -transitive binary relation employing comparison functions Open
In this paper, we prove coincidence point results for a pair of self mappings defined on a metric space employing a comparison function and a locally -transitive binary relation. Our results extend and generalize several known results espe…
Fixed points which belong to the set of unit values of a suitable function on fuzzy metric spaces Open
In this paper, we introduce the notion of fuzzy (F, φ,β-ψ)-contractive mappings in fuzzy metric spaces and utilize the same to prove some existence and uniqueness fuzzy φ-fixed point results in both M-complete and G-complete fuzzy metric s…
C*-algebra valued quasi metric spaces and fixed point results with an application Open
In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we…
φ-ψ-Contractions under W-Distances Employing Symmetric Locally T-Transitive Binary Relation Open
The intent of this paper is to prove the relation-theoretic fixed point results under φ-ψ-contractions involving W-distance on a metric space and equipped with a symmetric locally T-transitive binary relation (not necessarily transitive re…
Order-Theoretic Common Fixed Point Results in Rmb-Metric Spaces Open
In this paper, we prove common fixed point theorems for a pair of self-mappings in the framework of Rmb-metric spaces. We also deduce some corollaries of our main result. In order to support our main result, we also set an example.
Refinements to Relation-Theoretic Contraction Principle Open
After the appearance of relation-theoretic contraction principle proved in a metric space equipped with an amorphous binary relation (often termed as relational metric space), various core fixed point results have been proved in the settin…
Fixed point results via extended $\mathcal{FZ}$-simulation functions in fuzzy metric spaces Open
In this paper, we introduce a new class of control functions, namely extended $\mathcal{FZ}$ -simulation functions, and employ it to define a new contractive condition. We also prove some new fixed and best proximity point results in the c…
Proving Fixed-Point Theorems Employing Fuzzy (σ,𝒵)-Contractive-Type Mappings Open
In this article, the concept of fuzzy (σ,Z)-contractive mappings is introduced in the setting of fuzzy metric spaces. Thereafter, we utilize our newly introduced concept to prove some existence and uniqueness theorems in M-complete fuzzy m…
Some metrical $\varphi$-fixed point results of Wardowski type with applications to integral equations Open
In this article, we define the concepts of $(\mathcal{F}^*,\varphi)$-contraction and $(\mathcal{F}^*,\varphi)$-expansion mappings in metric spaces and utilize the same to prove some $\varphi$-fixed point theorems for this kind of mappings.…
On modified L-contraction via binary relation with an application Open
In this paper, we introduce the idea of L R -contraction by employing an amorphous binary relation on L-contraction in a metric space.We prove an existence and corresponding uniqueness fixed point results for L R -contraction employing an …
Two theorems involving cyclic generalized proximal C-contractive non-self mappings Open
This paper explores certain best proximity point expansions for a novel class of non-self-mapping S : P ? Q and T : Q ? P called generalized proximal C-contractions of the first and second kinds. We expose many examples to justify our obta…
Fixed point results under nonlinear Suzuki (F,R≠)-contractions with an application Open
In this article, we introduce the idea of nonlinear Suzuki (F,R?)-contractions, which is patterned after the contractive conditions due to Suzuki [Nonlinear Anal. 71 (2009) 5313-5317] and Wardowski [Fixed Point Theory Appl. (2012) 94:6]. U…
Relation-theoretic fixed point results for set-valued mappings via simulation functions with an application Open
In this article, we adopt the idea of set-valued (Z,?)-contractions and establish some fixed point results for such contractions in metric spaces utilizing binary relation. To validate our newly obtained results, we also provide some illus…
Fixed point theorems under locally $T$-transitive binary relations employing Matkowski contractions Open
In this paper, we extend the relation-theoretic contraction principle due to Alam and Imdad (J.Fixed Point Theory Appl.17 (2015) 693-702) for Matkowski contractions employing a locally T -transitive binary relation.Our results improve and …
A Relation-Theoretic Formulation of Browder–Göhde Fixed Point Theorem Open
In this paper, we introduce the concept of R-nonexpansive self-mappings defined on a suitable subset K of a Banach space, wherein R stands for a transitive binary relation on K, and utilize the same to prove a relation-theoretic variant of…
Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings Open
In this article, the concept of fuzzy $(\sigma,\mathcal{Z})$-contractive mapping has been introduced in fuzzy metric spaces which is an improvement over the corresponding concept recently introduced by Shukla et al. [Fuzzy Sets and system.…
θ*-Weak Contractions and Discontinuity at the Fixed Point with Applications to Matrix and Integral Equations Open
In this paper, the notion of θ*-weak contraction is introduced, which is utilized to prove some fixed point results. These results are helpful to give a positive response to certain open question raised by Kannan and Rhoades on the existen…
A study of common fixed points that belong to zeros of a certain given function with applications Open
In this paper, we establish some point of φ-coincidence and common φ-fixed point results for two self-mappings defined on a metric space via extended CG-simulation functions. By giving an example we show that the obtained results are a pro…
Fixed Point Theorems for Nonexpansive Mappings under Binary Relations Open
In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl. 2015:49 (2015)…
θ∗-Weak Contractions and Discontinuity at the Fixed Point With Applications to Matrix and Integral Equations Open
In this paper, the notion of θ∗-weak contraction is introduced, which is utilized to prove some fixed point results. These results are helpful to give a positive response to certain open question raised by Kannan [Amer. Math. Monthly 76:19…
On Suzuki and Wardowski-Type Contraction Multivalued Mappings in Partial Symmetric Spaces Open
The purpose of this paper is to provide some fixed-point results for Suzuki and Wardowski-type contraction multivalued mappings in partial symmetric spaces. We give some examples to support and substantiate the developed notions and obtain…
Fixed Point Theorems via WF-Contractions Open
In this paper, we introduce a new class of contractions which remains a mixed type of weak and F-contractions but not any of them.