http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
FIXED POINTS OF SET-VALUED MAPPINGS IN RELATIONAL METRIC SPACES
( Gopi Prasad ),( Ramesh Chandra Dimri ),( Shivani Kukreti ) 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.3
In this paper, we generalize the notion of comparable set-valued mappings by introducing two types of R-closed set-valued mappings and utilize these to obtain an analogue of celebrated Mizoguchi and Takahashi fixed point theorem in relational metric spaces. To annotate the claims and usefulness of such findings, we prove fixed point results for both set-valued and single-valued mappings and validate the assertions with the help of examples. In this way, these investigations extend, modify and generalize some prominent recent fixed point results obtained by Tiammee and Suantai [24], Amini-Harandi and Emami [4], Prasad and Dimri [19] and several others in the settings of relational metric spaces.
COINCIDENCE THEOREMS VIA CONTRACTIVE MAPPINGS IN ORDERED NON-ARCHIMEDEAN FUZZY METRIC SPACES
Gopi Prasad,Anita Tomar,Ramesh Chandra Dimri,Ayush Bartwal 한국수학교육학회 2020 純粹 및 應用數學 Vol.27 No.4
In this article, we prove coincidence point theorems for comparable ψ-contractive mappings in ordered non-Archimedean fuzzy metric spaces utilizing the recently established concept of T -comparability and relatively weaker order theoretic variants. With a view to show the usefulness and applicability of this work, we solve the system of ordered Fredholm integral equations as an application. In the process, this presentation generalize and improve some prominent recent results obtained in Mihet [Fuzzy Sets Syst., 159 (6), 739-744, (2008)], Altun and Mihet [ Fixed Point Theory Appl. 2010, 782680, (2010)], Alam and Imdad [Fixed Point Theory, 18(2), 415-432, (2017)] and several others in the settings of partially ordered non-Archimedean fuzzy metric spaces.
COMMON FIXED POINT RESULTS VIA F-CONTRACTION ON C<sup>*</sup> -ALGEBRA VALUED METRIC SPACES
Shivani Kukreti,Gopi Prasad,Ramesh Chandra Dimri The Kangwon-Kyungki Mathematical Society 2023 한국수학논문집 Vol.31 No.4
In this work, we establish common fixed point results by utilizing a variant of F-contraction in the framework of C<sup>*</sup>-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.
Dimri, Ramesh Chandra,Prasad, Gopi Korean Mathematical Society 2017 대한수학회논문집 Vol.32 No.2
In this paper, we prove some coincidence point theorems involving ${\varphi}-contraction$ in ordered partial metric spaces. We also extend newly introduced notion of g-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.
APPROXIMATION BY MODIFIED POST-WIDDER OPERATORS
( Sheetal Deshwal ),( Rupesh K. Srivastav ),( Gopi Prasad ) 한국수학교육학회 2023 純粹 및 應用數學 Vol.30 No.1
The current article manages with new generalization of Post-Widder operators preserving constant function and other test functions in Bohmann-Korovkin sense and studies the approximation properties via different estimation tools like modulus of continuity and approximation in weighted spaces. The viability of the recently modified operators as per classical Post-Widder operators is introduced in specific faculties also. Numerical examples are additionally introduced to verify our theortical results. In second last section we introduce Grüss-Voronovskaya results and in last section, we show the better approximation our new modified operators via graphical exmaples using Mathematica.