OPTIMAL COINCIDENCE BEST APPROXIMATION SOLUTION IN NON-ARCHIMEDEAN FUZZY METRIC SPACES

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SALEEM NAEEM; ABBAS MUJAHID; RAZA ZAHID

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Iranian Journal of Fuzzy Systems Year:2016 | Volume:13 | Issue:3 Page(s): 113-124

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Information Journal Paper

Title

OPTIMAL COINCIDENCE BEST APPROXIMATION SOLUTION IN NON-ARCHIMEDEAN FUZZY METRIC SPACES

Author(s)

SALEEM NAEEM | ABBAS MUJAHID | RAZA ZAHID | Issue Writer Certificate

Keywords

FUZZY METRIC SPACEQ2

OPTIMAL APPROXIMATE SOLUTIONQ2

FUZZY PROXIMAL CONTRACTIONQ2

FUZZY EXPANSIVEQ2

FUZZY ISOMETRYQ2

S-INCREASING SEQUENCEQ2

T-NORMQ2

Abstract

In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean FUZZY METRIC SPACE for two mappings and prove some proximal theorems. As a consequence, it provides the existence of an OPTIMAL APPROXIMATE SOLUTION to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean FUZZY METRIC SPACEs and famous Banach contraction principle.

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APA: Copy

SALEEM, NAEEM, ABBAS, MUJAHID, & RAZA, ZAHID. (2016). OPTIMAL COINCIDENCE BEST APPROXIMATION SOLUTION IN NON-ARCHIMEDEAN FUZZY METRIC SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 13(3), 113-124. SID. https://sid.ir/paper/113376/en

Vancouver: Copy

SALEEM NAEEM, ABBAS MUJAHID, RAZA ZAHID. OPTIMAL COINCIDENCE BEST APPROXIMATION SOLUTION IN NON-ARCHIMEDEAN FUZZY METRIC SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2016;13(3):113-124. Available from: https://sid.ir/paper/113376/en

IEEE: Copy

NAEEM SALEEM, MUJAHID ABBAS, and ZAHID RAZA, “OPTIMAL COINCIDENCE BEST APPROXIMATION SOLUTION IN NON-ARCHIMEDEAN FUZZY METRIC SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 13, no. 3, pp. 113–124, 2016, [Online]. Available: https://sid.ir/paper/113376/en

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