Journal of science, engineering and technology, Jun 14, 2024
The purpose of this paper is to briefly study the development of some common fixed point theorems... more The purpose of this paper is to briefly study the development of some common fixed point theorems in semi-metric space. INTRODUCTION Metric fixed point theory is a branch of fixed point theory which has its primary applications in functional analysis. Apart from establishing the existence of a fixed point, it often becomes necessary to prove the uniqueness of the fixed point. Besides, from computational point of view, an algorithm for calculating the value of the fixed point to a given degree of accuracy is desirable. Often this algorithm involves the iteration of the given function. In essence, the question about the existence, uniqueness and approximation of fixed point provide three significant aspect of the general fixed point principle. Among several fixed point theorems, Brouwer's fixed point theorem is well known due to its remarkable application in different fields
The aim of the present paper is to obtain an answer to an open problem due to Sastry et al. [5] b... more The aim of the present paper is to obtain an answer to an open problem due to Sastry et al. [5] by using the relationship between the continuity and reciprocal continuity of mappings in the setting of control functions which alter distances.
The aim of this paper is to discuss fixed point notion, kutastha vindu and Vedanta Philosophy and... more The aim of this paper is to discuss fixed point notion, kutastha vindu and Vedanta Philosophy and also to find their interrelationship used in Hindu mythological books.
The aim of the present paper is to establish a common fixed point theorem for semi-compatible pai... more The aim of the present paper is to establish a common fixed point theorem for semi-compatible pair of self maps in a fuzzy metric space which generalizes and improves various well-known comparable results.
This article attempts to explore on contributions of Chandrakala Devi Dhananjaya and analyze her ... more This article attempts to explore on contributions of Chandrakala Devi Dhananjaya and analyze her contributions in the field of Nepalese mathematics to materialize her book 'Shishubodha Tarangini'.
In this paper we obtain common fixed point theorems under the Lipschitz type analogue of a strict... more In this paper we obtain common fixed point theorems under the Lipschitz type analogue of a strict contractive condition by using the notion of R weak commutativity of type (Ag). In the setting of our results, we use the property (E.A) introduced by Aamri and Moutawakil [1] and compare these with the results proved by using the notion of noncompatiblity introduced by Pant [4]. Simultaneously, we provide contractive condition which ensure the existence of a common fixed point; however, the mappings are discontinuous at the common fixed point. We, thus, provide one more answer to the problem of Rhoades [10]. Our theorems extend the results of Pant and Pant (Theorem 2.1 Pant [6]), Pant, R.P. [5, Theorem 2]), Pant Vyomesh [8] and Singh and Kumar [11].
Chemostat is a continuous stirred tank reactor used for continuous microbial biomass production i... more Chemostat is a continuous stirred tank reactor used for continuous microbial biomass production in commercial, medical and other research problems. While modeling real world phenomena through differential equations as backbone of practical problems, we need to introduce various parameters. These parameters may be vague, imprecise and uncertain. To incorporate these uncertainties, the notion of fuzzy differential equations is used in chemostat model as one of the tool. In this paper, we discuss some new results for the stability analysis of chemostat model and the results so obtained are justifiable analytically and verified graphically in fuzzy environment.
... Kathmandu University Kathmandu, NEPAL e-mail: jhakn@ku.edu.np Abstract: We investigate maxima... more ... Kathmandu University Kathmandu, NEPAL e-mail: jhakn@ku.edu.np Abstract: We investigate maxima and minima of some functionals associated with solutions to Dirichlet problems for elliptic equations. ... Now, by Hardy-Littlewood inequality and (3.1) we find ...
In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi... more In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.
Journal of science, engineering and technology, Jun 14, 2024
The purpose of this paper is to briefly study the development of some common fixed point theorems... more The purpose of this paper is to briefly study the development of some common fixed point theorems in semi-metric space. INTRODUCTION Metric fixed point theory is a branch of fixed point theory which has its primary applications in functional analysis. Apart from establishing the existence of a fixed point, it often becomes necessary to prove the uniqueness of the fixed point. Besides, from computational point of view, an algorithm for calculating the value of the fixed point to a given degree of accuracy is desirable. Often this algorithm involves the iteration of the given function. In essence, the question about the existence, uniqueness and approximation of fixed point provide three significant aspect of the general fixed point principle. Among several fixed point theorems, Brouwer's fixed point theorem is well known due to its remarkable application in different fields
The aim of the present paper is to obtain an answer to an open problem due to Sastry et al. [5] b... more The aim of the present paper is to obtain an answer to an open problem due to Sastry et al. [5] by using the relationship between the continuity and reciprocal continuity of mappings in the setting of control functions which alter distances.
The aim of this paper is to discuss fixed point notion, kutastha vindu and Vedanta Philosophy and... more The aim of this paper is to discuss fixed point notion, kutastha vindu and Vedanta Philosophy and also to find their interrelationship used in Hindu mythological books.
The aim of the present paper is to establish a common fixed point theorem for semi-compatible pai... more The aim of the present paper is to establish a common fixed point theorem for semi-compatible pair of self maps in a fuzzy metric space which generalizes and improves various well-known comparable results.
This article attempts to explore on contributions of Chandrakala Devi Dhananjaya and analyze her ... more This article attempts to explore on contributions of Chandrakala Devi Dhananjaya and analyze her contributions in the field of Nepalese mathematics to materialize her book 'Shishubodha Tarangini'.
In this paper we obtain common fixed point theorems under the Lipschitz type analogue of a strict... more In this paper we obtain common fixed point theorems under the Lipschitz type analogue of a strict contractive condition by using the notion of R weak commutativity of type (Ag). In the setting of our results, we use the property (E.A) introduced by Aamri and Moutawakil [1] and compare these with the results proved by using the notion of noncompatiblity introduced by Pant [4]. Simultaneously, we provide contractive condition which ensure the existence of a common fixed point; however, the mappings are discontinuous at the common fixed point. We, thus, provide one more answer to the problem of Rhoades [10]. Our theorems extend the results of Pant and Pant (Theorem 2.1 Pant [6]), Pant, R.P. [5, Theorem 2]), Pant Vyomesh [8] and Singh and Kumar [11].
Chemostat is a continuous stirred tank reactor used for continuous microbial biomass production i... more Chemostat is a continuous stirred tank reactor used for continuous microbial biomass production in commercial, medical and other research problems. While modeling real world phenomena through differential equations as backbone of practical problems, we need to introduce various parameters. These parameters may be vague, imprecise and uncertain. To incorporate these uncertainties, the notion of fuzzy differential equations is used in chemostat model as one of the tool. In this paper, we discuss some new results for the stability analysis of chemostat model and the results so obtained are justifiable analytically and verified graphically in fuzzy environment.
... Kathmandu University Kathmandu, NEPAL e-mail: jhakn@ku.edu.np Abstract: We investigate maxima... more ... Kathmandu University Kathmandu, NEPAL e-mail: jhakn@ku.edu.np Abstract: We investigate maxima and minima of some functionals associated with solutions to Dirichlet problems for elliptic equations. ... Now, by Hardy-Littlewood inequality and (3.1) we find ...
In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi... more In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.
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