*G-spaces, *METRIC spaces, *FIXED point theory, *MATHEMATICAL mappings, *MATHEMATICS
Abstract
The intent of this paper is to introduce the concept of Gb-cone metric and we describe some basic properties of such metric. Further, we establish some fixed point theorems for self-mappings satisfying the contractive type conditions and a common fixed theorem for two weakly compatible self-mappings satisfying the contractive condition in Gbcone metric spaces without the assumption of normality. Moreover, some examples are provided to illustrate the usability of the obtained results. [ABSTRACT FROM AUTHOR]
*FIXED point theory, *METRIC spaces, *GENERALIZED spaces, *PROBABILITY theory, *MATHEMATICS
Abstract
In this paper, we obtain a common fixed point theorem by employing the notion of g -reciprocal continuity in probabilistic metric space. We demonstrate that g -reciprocal continuity ensures the existence of common fixed point under strict contractive conditions, which otherwise do not ensure the existence of fixed points. [ABSTRACT FROM AUTHOR]
DALAL, Sumitra, CHAUHAN, Sunny, and CHAUDHARI, Shikha
Subjects
*FIXED point theory, *FUZZY mathematics, *METRIC spaces, *NONLINEAR operators, *MATHEMATICS
Abstract
In this paper, we prove some common fixed point theorems for a pair of weakly compatible mappings satisfying (Ψ, α, β)-weak contractions in fuzzy metric spaces employing a control function. Our results improve and generalize several previously known relevant results of the existing literature. Some illustrative examples are alsofurnished to substantiate our main results. [ABSTRACT FROM AUTHOR]
In this paper, we introduce and study the concept of soft semi-I-open sets with respect to an ideal. Then using these sets, we also study soft semi-I-continuous functions, soft semi-I-open functions and obtained some characterizations and several properties concerning these functions. [ABSTRACT FROM AUTHOR]
Combinatorics, Euclidean algorithm, Third order, Multidisciplinary, Fibonacci number, Recurrence relation, Engineering, General Engineering, Mühendislik, Mathematics, Fibonacci numbers,Tribonacci numbers,Partial quotients,Euclidean algorithm
Abstract
This paper explores a connection between third order recursive sequences and generalized continued fractions by analogy with second order recursive sequences and ordinary two-dimensional continued fractions. It does this with a partial recurrence relation which is related to the original third order recurrence relation, and raises a related conjecture.
Published
2021
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