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This proves that (left{ x_{n}right} ) (Delta )-converges to a common fixed point of (left{ T_{i}:iin Jright} ) and (left{ I_{i}:iin Jright} ).
Then the sequence (left{ x_{n}right} ) defined in (1.6), ( Delta )-converges to a common fixed point of (left{ T_{i}:iin Jright} ) and (left{ I_{i}:iin Jright} ).
In this case we use (left( 1-lambda right) xoplus lambda y) to denote (W x,y,lambda ).) The geodesic segment joining x and y is denoted by (left[ x,yright] ) (with the usual convention for (x, y] and [x, y)). Thus (left( 1-lambda right) xoplus lambda y) denotes the point of (left[ x,yright] ) with distance (lambda dleft( x,yright) ) from x.
Now we prove that u is the common fixed point of (left{ T_{i}:iin Jright} ) and (left{ I_{i}:iin Jright}.) Define a sequence (left{ v_{m}right} ) in K by (v_{m}=T_{m}u,) where ( T_{m}=T_{mleft( mathrm{{mod} },Nright) }).
L x, y) is one point of left image, the algorithm searches for the best candidate by minimizing matching cost C. Suppose now the best match found for L(x - α + dmax, y) is R x, y), with matching cost C(x - α + dmax, x, y).
Our Theorem 3.2 complements the results of Zhu and Chang [49] in the sense that it can be applied to the approximation of common solution of finite system of equilibrium problems and which is also a fixed point of left Bregman strongly nonexpansive mapping in a reflexive Banach space.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com