Relevant bibliographies by topics / The common limit range property (CLR)

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Academic literature on the topic 'The common limit range property (CLR)'

Author: Grafiati
Published: 7 June 2025
Last updated: 16 July 2025

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Journal articles on the topic "The common limit range property (CLR)"

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Kumar, Manoj, Pankaj Kumar, and Sanjay Kumar. "Some Common Fixed Point Theorems in Generalized Metric Spaces." Journal of Mathematics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/719324.

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First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps. At the end, we prove common fixed point theorems using common limit range property (CLR property) along with weakly compatible maps.
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2

Rao, P. Srikanth, and Veena Kulkarni. "Common Limit Range property (CLR) and existence of fixed points in Menger Spaces." International Journal of Mathematics Trends and Technology 33, no. 1 (2016): 25–34. http://dx.doi.org/10.14445/22315373/ijmtt-v33p506.

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S.N. Leena Nelson, S. Princiya,. "Fixed Point Theorems in Fuzzy 2 – Banach Space Using CLR Property and Implicit Relation." Tuijin Jishu/Journal of Propulsion Technology 44, no. 3 (2023): 453–58. http://dx.doi.org/10.52783/tjjpt.v44.i3.304.

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The purpose of this paper is to obtain common fixed point theorems for weakly compatible mappings satisfying the Common Limit Range property using implicit relation in Fuzzy 2 – Banach Space. This Property plays a major role in fixed point theorems and by using this property we can obtain fixed points in Fuzzy 2-Banach Space.
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4

Gupta, Vishal, Wasfi Shatanawi, and Ashima Kanwar. "Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces." Mathematics 8, no. 3 (2020): 404. http://dx.doi.org/10.3390/math8030404.

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The introduction of the common limit range property on V -fuzzy metric spaces is the foremost aim of this paper. Furthermore, significant results for coupled maps are proven by employing this property on V -fuzzy metric spaces. More precisely, we introduce the notion of C L R Ω -property for the mappings Θ : M × M → M and Ω : M → M . We utilize our new notion to present and prove our new fixed point results.
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5

Jasim, Ahmed Ghanawi, and Intesar Harbi. "Advancements in Fixed Point Theory for Fuzzy Normed Spaces Using the Common Limit Range Method with Application." European Journal of Applied Science, Engineering and Technology 3, no. 2 (2025): 185–93. https://doi.org/10.59324/ejaset.2025.3(2).16.

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This paper explores novel fixed point theorems for weakly compatible mappings in fuzzy normed spaces  that adhere to an implicit relation. By employing the concepts of the common limit range property  and the common property  we establish new results in this field. Several illustrative examples are provided to validate the hypotheses and highlight the applicability of our findings. Furthermore, as an applied approach of our primary results, we establish a common fixed point theorem of integral type within fuzzy normed space.
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Koundal, Abhishek. "FIXED POINT THEORY IN COMLEX VALUED METRIC SPACE." Journal of University of Shanghai for Science and Technology 23, no. 07 (2021): 846–52. http://dx.doi.org/10.51201/jusst/21/07232.

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The aim of this paper is to establish and prove several results on a common fixed point for a pair of mappings satisfying more general contraction conditions portrayed by rational expressions having point-dependent control functions as coefficients in complex-valued metric spaces. Fixed point theory in complex-valued metric space using contractive conditions, rational inequality, common limit range property for two pairs of mapping deriving common fixed-point results under a generalized altering distance functions, E.A and CLR property. Obtaining consecutive approximations to the fixed point of an approximate mapping is the goal of a variety of processes in numerical analysis and approximation theory. Our goal in this paper is to examine fixed point theory and its applications in metric spaces, as well as to develop several fixed-point theorems in entire metric spaces that generalize many renowned mathematicians’ achievements.
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Panthi, Dinesh. "Some Theorems on Integral and Rational Type Contractive Conditions in Dislocated Metric Space." Nepal Journal of Mathematical Sciences 2, no. 2 (2021): 57–66. http://dx.doi.org/10.3126/njmathsci.v2i2.40120.

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In this article, we establish some coincidence points and common fixed point results on integral and rational type contractive conditions using E.A. and common limit range (CLR) properties in dislocated metric space.
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8

Park, Jong Seo. "COMMON FIXED POINT THEOREMS USING COMMON LIMIT RANGE PROPERTY ON IFMS." Far East Journal of Mathematical Sciences (FJMS) 111, no. 1 (2019): 77–87. http://dx.doi.org/10.17654/ms111010077.

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9

Imdad, Mohammad, and Sunny Chauhan. "Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems." International Journal of Analysis 2013 (May 2, 2013): 1–10. http://dx.doi.org/10.1155/2013/763261.

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The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in metric spaces satisfying an implicit function essentially due to the paper of Ali and Imdad (2008). As an application to our main result, we derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results including the ones contained in the paper of Ali and Imdad (2008). We also furnish some illustrative examples to support our main results.
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10

Sharma, Praveen Kumar, and Shivram Sharma. "Common Fixed Point Theorems for Six Self Maps in FM-Spaces Using Common Limit in Range Concerning Two Pairs of Products of Two Different Self-maps." Revista Gestão Inovação e Tecnologias 11, no. 4 (2021): 5634–42. http://dx.doi.org/10.47059/revistageintec.v11i4.2588.

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In this article, we do a study of common fixed point theorems for six self-maps in FM-Spaces using common limit in range property concerning two pairs of products of two different self-maps. We use the properties (CLRTH) and (CLRSR) along with contractive type implicit relations to prove our results. In support of our result, an example has been provided. Our findings are like those of Kumar and Chouhan [12]. Kumar and Chauhan demonstrated their primary result in [12] by improving and generalizing Aalam, Kumar, and Pants' [1] results. In past, many authors have done study of common fixed point using (E-A) property (like Aalam et. al. [1] proved results using this property), and then these results were improved and generalized by using common (E-A) property as this property is superior to (E-A) property, as the closeness of subspace is required to prove a required result on common fixed point by using these properties, which is a drawback. We improve and generalize all results on these properties using common limit in range property. The goal of this note is to refine and generalize Kumar and Chauhan's [12] results on a common fixed point, as well as some earlier comparable results.
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Book chapters on the topic "The common limit range property (CLR)"

1

Aserkar, Anushri A., and Manjusha P. Gandhi. "The Unique Common Fixed Point Theorem for Four Mappings Satisfying Common Limit in the Range Property in b-Metric Space." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1153-0_14.

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Conference papers on the topic "The common limit range property (CLR)"

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Aserkar, Anushree A., Manjusha P. Gandhi, and Shiney Chib. "Unique common fixed point theorem using simulation function fulfilling common limit in the range property." In SECOND ONLINE INTERNATIONAL CONFERENCE ON RESEARCH FRONTIERS IN SCIENCES. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0224561.

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Sharma, Richa, Pema Tshering, Vizender Sihag, and Virendra Singh Chouhan. "Under fuzzy metric space some fixed point results using joint common limit range property." In ADVANCES IN INTELLIGENT APPLICATIONS AND INNOVATIVE APPROACH. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0139378.

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You might also be interested in the extended bibliographies on the topic 'The common limit range property (CLR)' for particular source types:
Journal articles
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