Author
Iram Iqbal
Bio: Iram Iqbal is an academic researcher from University of Sargodha. The author has contributed to research in topics: Metric space & Fixed point. The author has an hindex of 5, co-authored 15 publications receiving 73 citations.
Papers
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TL;DR: In this article, a generalized F-contraction in modular metric space was introduced and the existence of fixed points for such contractions was investigated, and some new fixed point theorems in partially ordered modular metric spaces were derived.
Abstract: The notion of modular metric space, being a natural generalization of classical modulars over linear spaces, was recently introduced. In this paper, we introduce a generalized F-contraction in modular metric space and investigate the existence of fixed points for such contractions. As applications, we derive some new fixed point theorems in partially ordered modular metric spaces, Suzuki type fixed point theorems in modular metric spaces and fixed point theorems for contractions involving integral inequalities. Moreover, we deduce new fixed point results in triangular fuzzy metric spaces and provide some examples to illustrate the usability of the obtained results.
27 citations
TL;DR: In this paper, the authors prove fixed point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order, in the context of generalized metric spaces.
Abstract: The aim of the paper was to prove some new fixed point theorems, coincidence point theorems and common fixed point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order, in the context of generalized metric spaces (in the sense of Jleli and Samet). We also prove existence of common solutions to integral inclusions.
23 citations
TL;DR: In this paper, the authors introduced the notion of α-type F-τ-contraction and established related fixed point results in metric spaces, which is a generalization of Altun et al.
Abstract: In the present paper, we introduce the notion of α-type F-τ-contraction and
establish related fixed point results in metric spaces. An example is also
given to illustrate our main results and to show that our results are proper
generalization of Altun et al. (2015), Miank et al. (2015), Altun et al.
(2016) and Olgun et al. (2016). We also obtain fixed point results in the
setting of partially ordered metric spaces. Finally, an application is given
to set up the existence of positive definite solution of non-linear matrix
equation.
18 citations
TL;DR: The strategy consists in establishing new best proximity point results in the metric spaces by introducing the concept of cyclic orbital simulative contractions, and improves the recent best proximity results for mappings satisfying proximal simulative conditions.
12 citations
07 Feb 2020
TL;DR: In this article, the existence of fixed points for multi-valued modified F-contractions in the context of complete metric spaces was shown to be an adequate condition for the presence of a solution of the nonlinear matrix equation.
Abstract: In this paper, we set up an adequate condition for the presence of a solution of the nonlinear matrix equation. To do so, we prove the existence of fixed points for multi-valued modified F-contractions in the context of complete metric spaces, which generalize, refine, and extend several existing results in the literature. An example is accompanies the obtained results to show that derived results are a proper generalization.
11 citations
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TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.
Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …
33,785 citations
TL;DR: In this paper, common fixed point theorems for a pair of multivalued mappings satisfying a new Ciric-type rational F-contraction condition in complete dislocated metric spaces are established.
Abstract: In this article, common fixed point theorems for a pair of multivalued mappings satisfying a new Ciric-type rational F-contraction condition in complete dislocated metric spaces are established. An example is constructed to illustrate our results. An application to the system of integral equations is presented to support the usability of proved results. Our results combine, extend and infer several comparable results in the existing literature.
41 citations
TL;DR: In this paper, the authors introduced the notion of α-type F-contraction in the setting of modular metric spaces, which is independent from one given in (Hussain et al. in Fixed Point Theory Appl. 2015:158, 2015).
Abstract: Motivated by Gopal et al. (Acta Math. Sci. 36B(3):1-14, 2016). We introduce the notion of α-type F-contraction in the setting of modular metric spaces which is independent from one given in (Hussain et al. in Fixed Point Theory Appl. 2015:158, 2015). Further, we establish some fixed point and periodic point results for such contraction. The obtained results encompass various generalizations of the Banach contraction principle and others.
27 citations
TL;DR: In this paper, the authors prove fixed point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order, in the context of generalized metric spaces.
Abstract: The aim of the paper was to prove some new fixed point theorems, coincidence point theorems and common fixed point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order, in the context of generalized metric spaces (in the sense of Jleli and Samet). We also prove existence of common solutions to integral inclusions.
23 citations