Proceedings of International Conference on Applied Innovation in IT  ·  2026/06/12  ·  Vol. 14  ·  Issue 4  ·  pp. 383–390
New Extended Categories of Fixed Point Results for Weakly Compatible Contractions Mappings of Integral Type
Abduljabar K. Abbas, Ali A. Shihab and Alaa M. F. Al-Jumaili
The major goal of introduce article is to establish the uniqueness of different classes of common fixed point theorems under the influence of other enhanced sorts of extended contractions of integral type in 〖 D〗_d^*-Symmetric spaces. The first main outcomes have been proved for pairs of faintly compatible maps utilizing the property of (E.A) under influence enhanced integral type of contraction conditions. While got our second major results by utilizing the property of common limit in the range of G (CLR_G), which is generalization of (E.A)property and doesn’t need the closedness or completeness for space or sub-spaces and continuity of utilizing maps. As well, our main outcomes will be expanded involving two pairs of self weakly compatible maps under influence same previous contraction conditions of integral type. Additionally, various suitable models that uphold our main outputs have been prepared. Finally, proposed outcomes are improving and exploring of different renowned analogous many recent results relative to these classes of common fixed point results for extended compatibility mappings existing in the literature.
Dd*-Symmetric Spaces; (CLRG) Property (CLR(P F)) Property (EA) Property Compatibility Mappings Contractions of Integral Type Common Fixed Points
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